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CN114924478A - Special vehicle rapid vehicle display cooperative control method - Google Patents

Special vehicle rapid vehicle display cooperative control method Download PDF

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CN114924478A
CN114924478A CN202210818988.7A CN202210818988A CN114924478A CN 114924478 A CN114924478 A CN 114924478A CN 202210818988 A CN202210818988 A CN 202210818988A CN 114924478 A CN114924478 A CN 114924478A
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leveling
cylinder
force
special vehicle
vehicle
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于传强
周伯俊
谭立龙
刘志浩
柯冰
马长林
陈渐伟
舒洪斌
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Rocket Force University of Engineering of PLA
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B11/00Automatic controllers
    • G05B11/01Automatic controllers electric
    • G05B11/36Automatic controllers electric with provision for obtaining particular characteristics, e.g. proportional, integral, differential
    • G05B11/42Automatic controllers electric with provision for obtaining particular characteristics, e.g. proportional, integral, differential for obtaining a characteristic which is both proportional and time-dependent, e.g. P. I., P. I. D.
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00Road transport of goods or passengers
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Abstract

本发明公开了一种特种车辆快速展车协同控制方法,包括步骤Step1.在特种车辆协同展车的过程中,提出特种车辆协同展车运动的各项边界条件;Step2.设计基于干扰补偿的特种车辆协同调平方法,并利用基于干扰补偿的特种车辆协同调平方法控制特种车辆的协同展车过程;Step3.设计基于高压蓄能的特种车辆协同起竖方法,并利用基于高压蓄能的特种车辆协同起竖方法控制特种车辆的协同展车过程,完成特种车辆快速展车协同控制;本方法通过设计基于干扰补偿的特种车辆协同调平方法和基于高压蓄能的特种车辆协同起竖方法来对特种车辆快速展车进行协同控制,能够有效实现特种车辆快速展车,具有展车时间短、调平精度高、起竖速度快的特点。

Figure 202210818988

The invention discloses a collaborative control method for rapid display of special vehicles, comprising steps: Step 1. In the process of collaborative display of special vehicles, various boundary conditions for the coordinated display of special vehicles are proposed; Step 2. Design of special vehicles based on interference compensation The coordinated leveling method of vehicles, and the coordinated leveling method of special vehicles based on interference compensation is used to control the coordinated display process of special vehicles; The vehicle coordinated erection method controls the coordinated display process of special vehicles, and completes the coordinated control of the rapid display of special vehicles. The coordinated control of the rapid display of special vehicles can effectively realize the rapid display of special vehicles, and has the characteristics of short display time, high leveling accuracy and fast erection speed.

Figure 202210818988

Description

一种特种车辆快速展车协同控制方法A collaborative control method for rapid display of special vehicles

技术领域technical field

本发明涉及特种车辆控制技术领域,具体涉及一种特种车辆快速展车协同控制方法。The invention relates to the technical field of special vehicle control, in particular to a coordinated control method for rapid display of special vehicles.

背景技术Background technique

特种车辆的展车过程是整个系统准备过程中的重要环节,共分为调平与起竖两个过程,展车过程的时间长短直接影响到某新型特种车辆的快速反应能力以及生存能力,其速度与精度将直接影响作业的实际效果;为减少特种车辆作业前的准备时间,要求特种车辆在较短时间内完成调平;起竖过程是一个负载不断变化的过程,系统容易不稳定,而系统不平稳会使负载结构和内部仪器受过大冲击,所以起竖过程应该尽量避免产生冲击,因此需要对调平与起竖过程进行规划,以满足快速性、稳定性和安全性的要求;The exhibition process of special vehicles is an important part of the whole system preparation process. It is divided into two processes: leveling and erection. The length of the exhibition process directly affects the rapid response ability and survivability of a new type of special vehicle. The speed and accuracy will directly affect the actual effect of the operation; in order to reduce the preparation time before the operation of the special vehicle, the special vehicle is required to complete the leveling in a short time; the erection process is a process of changing loads, the system is prone to instability, and The instability of the system will cause the load structure and internal instruments to be subjected to excessive impact, so the erection process should try to avoid shocks, so it is necessary to plan the leveling and erection process to meet the requirements of rapidity, stability and safety;

目前我国新型特种车辆通过不断简化作业流程,使准备时间不断缩短,但仍与快速展车的需求存在一定差距;在这种背景下,快速展车已成为影响新一代特种车辆快速反应能力提升的关键问题,进一步压缩特种车辆展车时间,是提高快速反应能力的必由之路;At present, my country's new special vehicles have continuously shortened the preparation time by continuously simplifying the operation process, but there is still a certain gap with the demand for rapid exhibition vehicles; under this background, rapid exhibition vehicles have become a new generation of special vehicles. The key issue is to further compress the exhibition time of special vehicles, which is the only way to improve the rapid response capability;

随着全电化特种车辆的发展,柴油发动机+发电机的智能动力单元成为趋势,传统的底盘发动机取力,进而驱动液压调平的方式将被模块化、集成化的电动调平缸所替代;要实现高速起竖,需采用流量大、压力高的液压动力系统,这会导致增大系统的装机功率和体积,给特种车辆的设备布局带来困难,为解决此问题,可以采用气液混合驱动的方式来降低系统的装机功率和体积,提高特种车辆起竖动力系统的功率密度;因此,采用电驱调平和气液混合驱动起竖已成为大幅度提高特种车辆快速反应能力的关键技术,开展集成电动调平和气液混合动力的新一代快速展车技术的研究已成为关键;With the development of all-electric special vehicles, the intelligent power unit of diesel engine + generator has become a trend. The traditional way of taking power from chassis engine and driving hydraulic leveling will be replaced by modular and integrated electric leveling cylinder; To achieve high-speed erection, it is necessary to use a hydraulic power system with large flow and high pressure, which will increase the installed power and volume of the system and bring difficulties to the equipment layout of special vehicles. To solve this problem, gas-liquid mixing can be used. Drive the system to reduce the installed power and volume of the system and improve the power density of the erection power system of the special vehicle; therefore, the use of electric drive leveling and gas-liquid hybrid drive erection has become a key technology to greatly improve the rapid response capability of special vehicles. It has become the key to carry out research on a new generation of fast show car technology integrating electric leveling and gas-liquid hybrid power;

目前,特种车辆的展车作业普遍存在以下问题:At present, the following problems generally exist in the exhibition operation of special vehicles:

(1)针对特种车辆的调平系统,主要有以下三个方面存在问题:一是传统特种车辆调平多采用液压缸调平,传统液压调平存在时间相对较长、调平精度相对较差的问题;二是在调平控制算法上,传统液压缸调平控制多采用模糊PID控制算法,但由于液压系统存在非线性、参数时变、各执行元件的负载差异等特性,存在着控制精度不高等问题;三是传统特种车辆调平系统大多采用后支腿左右调平的总体方案,按照升车(四条腿着地)、调平(左右后支腿)、伸前腿的顺序完成调平,整个调平过程为串行方式,环节多、耗时长,很难满足快速调平的要求;(1) For the leveling system of special vehicles, there are mainly problems in the following three aspects: First, hydraulic cylinders are often used for leveling of traditional special vehicles. Traditional hydraulic leveling has a relatively long existence time and relatively poor leveling accuracy. Second, in the leveling control algorithm, the traditional hydraulic cylinder leveling control mostly adopts the fuzzy PID control algorithm, but due to the nonlinearity of the hydraulic system, the time-varying parameters, the load difference of each actuator and other characteristics, there is a lack of control accuracy. The third is that the traditional special vehicle leveling system mostly adopts the overall plan of left and right leveling of the rear outriggers, and the leveling is completed in the order of lifting the car (four legs on the ground), leveling (left and right rear outriggers), and extending the front legs , the whole leveling process is serial, with many links and time-consuming, it is difficult to meet the requirements of rapid leveling;

(2)针对特种车辆的起竖系统,特种车辆负载起竖系统多采用三铰点固连式机构,普遍采用定量泵驱动的传统液压起竖系统;传统液压起竖系统要实现快速起竖,液压油源体积、重量会大幅增加,不利于特种车辆轻载化、低装机功率的发展需求;(2) For the erection system of special vehicles, the load erection system of special vehicles mostly adopts three-joint fixed-point mechanism, and the traditional hydraulic erection system driven by quantitative pump is generally used; the traditional hydraulic erection system needs to achieve rapid erection, The volume and weight of the hydraulic oil source will increase significantly, which is not conducive to the development needs of light-loaded and low-installed power for special vehicles;

(3)针对特种车辆的展车流程,协同展车主要会产生以下三个具体问题:一是当车辆调平时起竖,起竖液压缸会受到侧向的力矩,会有侧翻的危险,因此需要结合实际情况分析;二是当车辆起竖时进行调平,调平电动缸受到起竖过程产生的冲击力,会对调平精度产生影响,并且会对调平液压缸产生较大的径向力;三是起竖液压缸的水平与竖直方向加速度会变大,有过载的风险;(3) For the exhibition process of special vehicles, the following three specific problems will occur in collaborative exhibition vehicles: First, when the vehicle is leveled and erected, the erecting hydraulic cylinder will be subjected to lateral moment, and there will be a danger of rollover. Therefore, it is necessary to analyze the actual situation; secondly, when the vehicle is erected, the leveling electric cylinder is subjected to the impact force generated by the erection process, which will affect the leveling accuracy, and will produce a larger radial pressure on the leveling hydraulic cylinder. The third is that the horizontal and vertical acceleration of the erecting hydraulic cylinder will become larger, and there is a risk of overloading;

综上所述,亟需设计一种特种车辆快速展车协同控制方法,来解决上述现有技术存在的问题。To sum up, there is an urgent need to devise a collaborative control method for a rapid display of special vehicles to solve the above-mentioned problems in the prior art.

发明内容SUMMARY OF THE INVENTION

针对上述存在的问题,本发明旨在提供一种特种车辆快速展车协同控制方法,本方法通过设计基于干扰补偿的特种车辆协同调平方法和基于高压蓄能的特种车辆协同起竖方法来对特种车辆快速展车进行协同控制,能够有效实现特种车辆快速展车,具有展平速度快、调平精度高的特点。In view of the above-mentioned problems, the present invention aims to provide a coordinated control method for the rapid display of special vehicles. The method uses a coordinated leveling method for special vehicles based on interference compensation and a coordinated erection method for special vehicles based on high-voltage energy storage to control The coordinated control of the rapid display of special vehicles can effectively realize the rapid display of special vehicles, and has the characteristics of fast flattening speed and high leveling accuracy.

为了实现上述目的,本发明所采用的技术方案如下:In order to achieve the above object, the technical scheme adopted in the present invention is as follows:

一种特种车辆快速展车协同控制方法,包括步骤A collaborative control method for rapid vehicle exhibition of special vehicles, comprising the steps of

Step1.在特种车辆协同展车的过程中,提出特种车辆协同展车运动的各项边界条件,并根据边界条件规划特种车辆展车过程协同运动方案,同时提出并行工作的协同展车模式;Step1. In the process of cooperative exhibition of special vehicles, put forward various boundary conditions for the cooperative exhibition movement of special vehicles, and plan the cooperative movement scheme of the special vehicle exhibition process according to the boundary conditions, and propose a cooperative exhibition mode of parallel work;

Step2.设计基于干扰补偿的特种车辆协同调平方法,并利用基于干扰补偿的特种车辆协同调平方法控制特种车辆的协同展车过程;Step2. Design a coordinated leveling method for special vehicles based on interference compensation, and use the coordinated leveling method for special vehicles based on interference compensation to control the coordinated display process of special vehicles;

Step3.设计基于高压蓄能的特种车辆协同起竖方法,并利用基于高压蓄能的特种车辆协同起竖方法控制特种车辆的协同展车过程,完成特种车辆快速展车协同控制。Step3. Design the coordinated erection method of special vehicles based on high-voltage energy storage, and use the coordinated erection method of special vehicles based on high-voltage energy storage to control the coordinated display process of special vehicles to complete the coordinated control of rapid vehicle display of special vehicles.

优选的,步骤Step1所述的协同运动方案的设计过程包括Preferably, the design process of the coordinated motion scheme described in Step 1 includes:

Step101.根据特种车辆协同展车过程中的各项边界条件,确定调平系统与起竖系统同时工作的协同展车方案;Step101. According to various boundary conditions in the process of cooperative exhibition of special vehicles, determine the coordinated exhibition scheme in which the leveling system and the erection system work at the same time;

Step102.在特种车辆协同展车方案的基础上,对四支点调平的调平原理进行分析,采用三点逐高法对车辆进行调平;Step102. On the basis of the special vehicle collaborative exhibition plan, analyze the leveling principle of four-point leveling, and use the three-point-by-height method to level the vehicle;

Step103.在特种车辆协同展车方案的基础上,对起竖机构进行优化,设计快速起竖系统方案。Step103. On the basis of the special vehicle collaborative exhibition plan, optimize the erection mechanism and design a rapid erection system solution.

优选的,步骤Step102所述的四支点调平的分析过程包括Preferably, the analysis process of the four pivot point leveling described in Step 102 includes the following steps:

(1)设系统的调平均可以简化为对某一平台平面的调平,在平台的X、Y两个相互垂直的方向上安装一双轴倾角传感器来测量两个方向上的水平倾角;(1) The leveling of the system can be simplified as the leveling of a certain platform plane, and a dual-axis inclination sensor is installed in the two mutually perpendicular directions of X and Y of the platform to measure the horizontal inclination in two directions;

(2)设支腿i在水平坐标系OX0Y0Z0中的坐标为0Pi=(0PiX,0PiY,0PiZ)T,在平台坐标系OX1Y1Z1中的坐标为1Pi=(1PiX,1PiY,1PiZ)T;同时假设平台初始角α、β不为0,平台都为小倾角,满足α、β为小角度的条件,得到两坐标系之间的变换矩阵如下:(2) Let the coordinate of the outrigger i in the horizontal coordinate system OX 0 Y 0 Z 0 be 0 P i =( 0 P iX , 0 P iY , 0 P iZ ) T , in the platform coordinate system OX 1 Y 1 Z 1 The coordinates in are 1 P i =( 1 P iX , 1 P iY , 1 P iZ ) T ; at the same time, it is assumed that the initial angles α and β of the platform are not 0, and the platforms are all small inclination angles, satisfying the condition that α and β are small angles , the transformation matrix between the two coordinate systems is obtained as follows:

Figure BDA0003741941820000021
Figure BDA0003741941820000021

(3)设在坐标系OX1Y1Z1中,各支腿坐标为:1Pi=(1Xi,1Yi,1Zi)T;则

Figure BDA0003741941820000022
各支点Z的坐标为:(3) Set in the coordinate system OX 1 Y 1 Z 1 , the coordinates of each leg are: 1 P i =( 1 X i , 1 Y i , 1 Z i ) T ; then
Figure BDA0003741941820000022
The coordinates of each pivot point Z are:

0Zi=(-α,β,1)(1Xi,1Yi,1Zi)T 0 Z i =(-α,β,1)( 1 X i , 1 Y i , 1 Z i ) T

(4)调平前进行预支承,首先判断出最高点,将这点作为坐标原点,则各支腿的初始位置为:(4) Pre-support before leveling, first determine the highest point, and use this point as the origin of the coordinates, the initial position of each leg is:

0Zi=-α1Xi1Yi+1Zi 0 Z i = -α 1 X i1 Y i + 1 Z i

显然,1Zi=0,因此,上式可表示为:Obviously, 1 Z i =0, therefore, the above formula can be expressed as:

0Zi=-α1Xi1Yi 0 Z i =-α 1 X i1 Y i

(5)设i=h为最高点,0Zh0Zi,则任意时刻,各支点与最高点位置差为:(5) Let i=h be the highest point, 0 Z h0 Z i , then at any time, the position difference between each fulcrum and the highest point is:

ei0Zh-0Zi=-α(1Xh-1Xi)+β(1Yh-1Yi)e i = 0 Z h - 0 Z i = -α( 1 X h - 1 X i )+β( 1 Y h - 1 Y i )

(6)各支腿沿车架前后左右对称分布,设支腿分布的的长边间距为La,短边间距为Lb,则有各支腿在动坐标系中的坐标为:(6) The outriggers are symmetrically distributed along the front, rear, left and right sides of the frame. If the distance between the long sides of the outriggers is L a and the distance between the short sides is L b , the coordinates of the outriggers in the moving coordinate system are:

Figure BDA0003741941820000031
Figure BDA0003741941820000031

据此,计算出各支腿的伸出量,倾角的正负服从右手规则,根据X轴和Y轴方向两倾角正负的不同组合,对应的坐标最高的支腿也不同,以下分四种情况分析:Based on this, the outriggers of each leg are calculated, and the positive and negative inclination angles obey the right-hand rule. According to the different combinations of positive and negative inclination angles in the X-axis and Y-axis directions, the corresponding outriggers with the highest coordinates are also different. The following are divided into four types. Situation Analysis:

(1)当α<0,β>0时,支腿1最高:(1) When α<0, β>0, the outrigger 1 is the highest:

Figure BDA0003741941820000032
Figure BDA0003741941820000032

(2)当α>0,β>0时,支腿2最高,(2) When α>0, β>0, the outrigger 2 is the highest,

Figure BDA0003741941820000033
Figure BDA0003741941820000033

(3)当α<0,β>0时,支腿3最高,(3) When α<0, β>0, the outrigger 3 is the highest,

Figure BDA0003741941820000034
Figure BDA0003741941820000034

(4)当α<0,β>0时,支腿4最高,(4) When α<0, β>0, the outrigger 4 is the highest,

Figure BDA0003741941820000035
Figure BDA0003741941820000035

根据上述四种情况可以看出:每次调平时,各支腿的调节量为0,||αLa||,||βLb||,||αLa||+||βLb||四种数值中的一种,根据高点不同进行分配;调平过程可以循环迭代,直至水平度达到要求。According to the above four situations, it can be seen that the adjustment amount of each leg is 0 at each leveling time, ||αL a ||, ||βL b ||, ||αL a ||+||βL b || One of the four values is assigned according to different high points; the leveling process can be iterated repeatedly until the level reaches the requirements.

优选的,步骤Step2所述的基于干扰补偿的特种车辆协同调平方法的设计过程包括Preferably, the design process of the interference compensation-based coordinated leveling method for special vehicles described in Step 2 includes the following steps:

Step201.以电动缸为调平支腿,通过计算调平过程理论误差和计算调平支腿的理论承载力,建立电动缸形变误差模型;Step201. Take the electric cylinder as the leveling leg, and establish the electric cylinder deformation error model by calculating the theoretical error of the leveling process and calculating the theoretical bearing capacity of the leveling leg;

Step202.在电动缸形变误差模型中引入基于干扰补偿的调平控制策略,将电动缸的形变量作为调平控制器的初始输入误差,将型变量作为控制系统的前馈,采用模糊PID控制方法进行反馈控制,得到基于干扰补偿的特种车辆协同调平方法。Step202. Introduce the leveling control strategy based on disturbance compensation in the electric cylinder deformation error model, take the deformation of the electric cylinder as the initial input error of the leveling controller, use the shape variable as the feedforward of the control system, and adopt the fuzzy PID control method Feedback control is carried out, and a coordinated leveling method for special vehicles based on interference compensation is obtained.

优选的,步骤Step201所述的调平过程理论误差计算过程包括Preferably, the calculation process of the theoretical error of the leveling process described in Step 201 includes:

(1)在行星滚柱丝杠中,设F0为行星滚柱丝杠的轴向受力,其各接触点受力相同,Fn为接触法向力,Fa为轴向力,Ft为切向力,Fr为径向力,Fs为轴向力和切向力的合力,λ为滚柱的导程角;θ为丝杠与滚柱、螺母与滚柱的接触角;(1) In the planetary roller screw, let F 0 be the axial force of the planetary roller screw, the force at each contact point is the same, F n is the contact normal force, F a is the axial force, F t is the tangential force, F r is the radial force, F s is the resultant force of the axial force and the tangential force, λ is the lead angle of the roller; θ is the contact angle between the screw and the roller, and the nut and the roller ;

则总轴力与单个接触点的法向力的关系为Then the relationship between the total axial force and the normal force of a single contact point is

Figure BDA0003741941820000041
Figure BDA0003741941820000041

式中n为滚柱个数;where n is the number of rollers;

(2)根据赫兹理论,确定中心丝杠与滚柱之间点接触的四个主曲率分别为:(2) According to the Hertz theory, the four principal curvatures of the point contact between the center screw and the roller are determined as:

Figure BDA0003741941820000042
Figure BDA0003741941820000042

式中,R为滚柱与中心丝杠接触点处的圆弧半径;R1为中心丝杠螺纹滚道的半径;d1为接触点到中心丝杠的半径;d2为接触点到滚柱轴线的半径;In the formula, R is the arc radius at the contact point between the roller and the center screw; R 1 is the radius of the thread raceway of the center screw; d 1 is the radius from the contact point to the center screw; d 2 is the contact point to the roller the radius of the column axis;

可知,曲率和为:It can be seen that the curvature sum is:

∑ρ=ρ11122122 ∑ρ=ρ 11122122

主曲率函数为:The principal curvature function is:

Figure BDA0003741941820000043
Figure BDA0003741941820000043

(3)根据赫兹接触理论,得到接触面的弹性形变量为:(3) According to the Hertzian contact theory, the elastic deformation of the contact surface is obtained as:

Figure BDA0003741941820000044
Figure BDA0003741941820000044

式中,E1与E2为滚柱与丝杠弹性模量;μ1与μ2为滚柱与丝杠泊松比,F0为轴向力。In the formula, E 1 and E 2 are the elastic moduli of the roller and the screw; μ 1 and μ 2 are the Poisson’s ratio of the roller and the screw, and F 0 is the axial force.

优选的,步骤Step201所述的计算调平支腿理论承载力的过程包括Preferably, the process of calculating the theoretical bearing capacity of the leveling legs described in Step 201 includes:

(1)设两前支腿对车架的轴向力和径向力分别为f1y、f1x、f1z;两后支腿对车架的轴向力和径向力分别为f2y、f2x、f2z;车身俯仰角α、车身横滚角β;两前支腿左右跨度为h,两后支腿跨度与之相同;同侧前后支腿跨度为l;车架质量为m1,负载质量为m2,总质量为m;车架质心位于车体垂向的对称面内,距后腿中轴线水平距离为l1;负载质心位于车体垂向的对称面内,距后腿中轴线水平距离为l2;重力加速度为g=9.8m/s2(1) The axial force and radial force of the two front outriggers on the frame are respectively f 1y , f 1x and f 1z ; the axial force and radial force of the two rear outriggers on the frame are respectively f 2y , f 1x and f 1z f 2x , f 2z ; body pitch angle α, body roll angle β; the left and right span of the two front outriggers is h, and the span of the two rear outriggers is the same; the span of the front and rear outriggers on the same side is l; the frame mass is m 1 , the load mass is m 2 , and the total mass is m; the center of mass of the frame is located in the vertical symmetry plane of the car body, and the horizontal distance from the central axis of the rear leg is l 1 ; The horizontal distance of the central axis of the leg is l 2 ; the acceleration of gravity is g=9.8m/s 2 ;

(2)以车架平面为基准,追踪车身状态变化时车架重力与支腿轴向力间的平衡,列出平衡方程;支腿轴向方向上的合力等于车架及负载重力在支腿轴向方向上的投影;当车体既有俯仰角又有横滚角时,受力平衡方程如下:(2) Taking the frame plane as the benchmark, track the balance between the frame gravity and the axial force of the outriggers when the state of the body changes, and list the balance equation; the resultant force in the axial direction of the outriggers is equal to the frame and load gravity on the outriggers. Projection in the axial direction; when the vehicle body has both a pitch angle and a roll angle, the force balance equation is as follows:

f1y+f2y=mg cosαcosβf 1y +f 2y =mg cosαcosβ

f1x+f2x=mg sinαf 1x +f 2x =mg sinα

f1z+f2z=mg sinβf 1z +f 2z =mg sinβ

以两前支腿连线为旋转轴,进行力矩平衡分析,力矩平衡方程如下:Taking the connecting line of the two front legs as the rotation axis, the moment balance analysis is carried out. The moment balance equation is as follows:

[m1g(l-l1)+m2g(l-l2)]cosαcosβ=f2yl[m 1 g(ll 1 )+m 2 g(ll 2 )]cosαcosβ=f 2y l

以两后支腿连线为旋转轴,进行力矩平衡分析,力矩平衡方程如下:Taking the connecting line of the two rear outriggers as the rotation axis, the moment balance analysis is carried out. The moment balance equation is as follows:

[m1gl1+m2gl2]cosαcosβ=f1yl。[m 1 gl 1 +m 2 gl 2 ]cosαcosβ=f 1y l.

优选的,步骤Step202所述的基于干扰补偿的调平控制策略包括Preferably, the leveling control strategy based on interference compensation described in Step 202 includes:

Step2021.计算初始误差作为前馈补偿,反馈控制采用自适应模糊PID控制,模糊控制器的输入误差e根据前馈的干扰补偿值得出,再计算误差变化率ecStep2021. Calculate the initial error as feedforward compensation, the feedback control adopts adaptive fuzzy PID control, the input error e of the fuzzy controller is obtained according to the feedforward interference compensation value, and then calculate the error rate of change e c ;

Step2022.模糊控制器在运行中通过不断更新e和ec来调整ΔKp、ΔKI和ΔKD的值,实现PID参数的在线自整定,满足不同e和ec对控制参数的不同要求;Step2022. The fuzzy controller adjusts the values of ΔK p , ΔK I and ΔK D by continuously updating e and ec during operation, realizes online self-tuning of PID parameters, and meets the different requirements of different e and ec for control parameters;

其中,模糊控制器的输入、输出语言变量e、ec、ΔKp、ΔKI、ΔKD的模糊论域均为[-6,6],模糊子集为[NB,NM,NS,ZO,PS,PM,PB],考虑到对论域的覆盖程度和灵敏度、稳定性与鲁棒性原则,各模糊子集采用高斯形隶属度函数。Among them, the fuzzy universes of the input and output linguistic variables e, e c , ΔK p , ΔK I , and ΔK D of the fuzzy controller are all [-6, 6], and the fuzzy subsets are [NB, NM, NS, ZO, PS, PM, PB], considering the coverage and sensitivity, stability and robustness of the universe, each fuzzy subset adopts a Gaussian membership function.

优选的,步骤Step3所述的基于高压蓄能的特种车辆协同起竖方法的控制过程包括Preferably, the control process of the method for coordinated erection of special vehicles based on high-voltage energy storage described in Step 3 includes the following steps:

Step3011.采用高压蓄能器驱动特种车辆快速起竖方案,建立高压蓄能器;Step3011. Adopt the high-voltage accumulator to drive the rapid erection scheme of special vehicles, and establish the high-voltage accumulator;

Step3012.在高压蓄能器的基础上,建立三级液压缸数学模型;Step3012. On the basis of the high-pressure accumulator, establish the mathematical model of the three-stage hydraulic cylinder;

Step3013.在三级液压缸数学模型的基础上,建立缓冲装置的数学模型。Step3013. On the basis of the mathematical model of the three-stage hydraulic cylinder, establish the mathematical model of the buffer device.

优选的,步骤Step3012所述的三级液压缸数学模型的建立过程包括Preferably, the process of establishing the mathematical model of the three-stage hydraulic cylinder described in Step 3012 includes:

(1)将液压缸的正、反腔分别当作一个节点容腔,通过节点容腔法建立两腔压力方程,计算出各级缸的输出力,得出三级缸的数学模型如(1) The positive and negative cavities of the hydraulic cylinder are regarded as a node cavity respectively, and the pressure equation of the two cavities is established by the node cavity method, the output force of the cylinders at each level is calculated, and the mathematical model of the three-stage cylinder is obtained as follows:

Figure BDA0003741941820000051
Figure BDA0003741941820000051

式中,E为油液的有效体积弹性模量;Vf和Vb分别为多级缸正、反腔的初始容积;Qf和Qb分别为流入或流出正、反腔的流量;Af3、Af2、Af1分别为3、2、1级筒正腔作用面积;Ab3、Ab2、Ab1分别为3、2、1级筒反腔作用面积;l3max、l2max、l1max分别为3、2、1级筒的最大位移;pf、pb分别为油缸正、反腔的压力;x32、v32分别为3级筒相对于2级筒的轴向位移、速度;x21、v21分别为2级筒相对于1级筒的轴向位移、速度;x1p、v1p分别为1级筒相对于活塞杆的轴向位移、速度;F3、F2、F1分别为3、2、1级筒输出作用力;Ff3、Ff2、Ff1分别为3、2、1级筒运行过程的摩擦力;Fp3、Fp2、Fp1分别为3、2、1级筒、活塞杆间的碰撞力;In the formula, E is the effective bulk elastic modulus of the oil; V f and V b are the initial volumes of the forward and reverse chambers of the multi-stage cylinder, respectively; Q f and Q b are the flow rates flowing into or out of the forward and reverse chambers, respectively; A f3 , A f2 , and A f1 are the action areas of the 3rd , 2nd , and 1st-stage cylinder positive cavity respectively; Ab3 , Ab2 , and Ab1 are the 3rd, 2nd, and 1st stage counter-cavity action areas respectively; l 3max , l 2max , l 1max is the maximum displacement of the 3rd, 2nd and 1st stage cylinders respectively; p f and pb are the pressures of the forward and reverse chambers of the oil cylinder respectively; x 32 and v 32 are the axial displacement and velocity of the 3rd stage cylinder relative to the 2nd stage cylinder respectively ; x 21 , v 21 are the axial displacement and velocity of the 2-stage cylinder relative to the 1-stage cylinder respectively; x 1p , v 1p are the axial displacement and velocity of the 1-stage cylinder relative to the piston rod; F 3 , F 2 , F 1 is the output force of the 3rd, 2nd and 1st stage cylinders respectively; F f3 , F f2 , F f1 are the frictional forces of the 3rd, 2nd and 1st stage cylinders during the operation respectively; F p3 , F p2 , F p1 are 3, 2. The collision force between the first-stage cylinder and the piston rod;

(2)式(40)中缸筒运行中的摩擦力模型采用改进的LuGre模型,数学模型如(2) In equation (40), the friction model in the operation of the cylinder barrel adopts the improved LuGre model, and the mathematical model is as follows

Figure BDA0003741941820000061
Figure BDA0003741941820000061

式中,z为鬃毛的平均弹性形变;v为接触面的相对速度;σz为刚度系数;τz为阻尼系数;ηz为粘滞系数;vs为Stribeck速度常数;Fc为库伦摩擦力;Fs为静摩擦力;h为油膜厚度;where z is the average elastic deformation of the bristles; v is the relative velocity of the contact surface; σ z is the stiffness coefficient; τ z is the damping coefficient; η z is the viscosity coefficient; v s is the Stribeck velocity constant; F c is the Coulomb Friction force; F s is static friction force; h is oil film thickness;

(3)式(40)中液压缸级间碰撞模型基于赫兹接触力模型,其数学模型如(3) The hydraulic cylinder inter-stage collision model in Eq. (40) is based on the Hertzian contact force model, and its mathematical model is as follows

Figure BDA0003741941820000062
Figure BDA0003741941820000062

式中,Kp和Kn为等效弹簧刚度;μ为迟滞因子;δ为接触点法向穿透深度;vR和vc为两个缸筒的速度;x为缸筒间相对位移;gp为缸筒位移上界;gn为缸筒位移下界。where K p and K n are the equivalent spring stiffness; μ is the hysteresis factor; δ is the normal penetration depth of the contact point; v R and vc are the speeds of the two cylinders; x is the relative displacement between the cylinders; g p is the upper bound of cylinder displacement; g n is the lower bound of cylinder displacement.

本发明的有益效果是:一种特种车辆快速展车协同控制方法,与现有技术相比,本发明的改进之处在于:The beneficial effects of the present invention are as follows: a special vehicle rapid exhibition vehicle collaborative control method, compared with the prior art, the improvement of the present invention is:

(1)本发明设计了一种特种车辆快速展车协同控制方法,本方法基于快速展车设计指标,完成了电动调平系统和高压储能驱动起竖系统的方案和关键部件的设计与优化,经分析表明,采用本协同展车方案,可使展车时间从25s缩短至15s,时间缩短了40%;(1) The present invention designs a coordinated control method for a rapid exhibition vehicle of a special vehicle. Based on the design index of the rapid exhibition vehicle, the method completes the design and optimization of the electric leveling system and the high-voltage energy storage drive erection system and the design and optimization of key components , The analysis shows that the use of this collaborative vehicle exhibition scheme can shorten the exhibition time from 25s to 15s, and the time is shortened by 40%;

(2)本方法提出了基于干扰补偿的调平控制方法,并针对大倾角调平与小倾角调平两种工况进行仿真与实验研究;仿真与实验的结果表明所提控制方法可以控制调平系统在10s内完成调平,俯仰角调平精度在0.05°以下,横滚角调平精度在0.002°以下,调平精度较高,并且仿真与实验的结果基本一致,证明了仿真模型的精确性;(2) This method proposes a leveling control method based on interference compensation, and conducts simulation and experimental research on two working conditions of large inclination angle leveling and small inclination angle leveling; simulation and experimental results show that the proposed control method can control the adjustment The leveling system completes the leveling within 10s, the leveling accuracy of the pitch angle is below 0.05°, the leveling accuracy of the roll angle is below 0.002°, the leveling accuracy is high, and the results of the simulation and the experiment are basically consistent, which proves the simulation model. accuracy;

(3)本方法提出了基于高压蓄能的特种车辆协同起竖方法,针对特种车辆的快速起竖需求,选用大容积高压蓄能器来降低装机功率,蓄能器采用活塞式结构,可以在大负载下通过快速释放能量达到缩短起竖时间的效果;采用多孔节流装置进行液压缸级间过渡,并且设计了起竖到位的缓冲装置;仿真与实验结果表明设计的起竖系统可以在15s内完成快速起竖,但通过仿真与实验对比可以发现在起竖液压缸二三级换级时会产生较大振动,其余时间段仿真结果与实验结果吻合性较好,证明了仿真模型的精确性;(3) This method proposes a coordinated erection method for special vehicles based on high-pressure energy storage. In view of the rapid erection requirements of special vehicles, a large-volume high-pressure accumulator is selected to reduce the installed power. The accumulator adopts a piston-type structure, which can be used in The effect of shortening the erection time is achieved by rapidly releasing energy under large loads; the multi-hole throttle device is used for the transition between the hydraulic cylinder stages, and the buffer device for erection in place is designed; the simulation and experimental results show that the designed erection system can be used in 15s. However, through the comparison between simulation and experiment, it can be found that there will be large vibration when the second and third stages of the erecting hydraulic cylinder are changed. The simulation results in the rest of the time period are in good agreement with the experimental results, which proves the accuracy of the simulation model. sex;

(4)本方法通过分析特种车辆协同运动的展车方式对调平与起竖过程的影响,根据起竖机构与调平系统的力学关系建立了协同运动的仿真模型,通过仿真结果可知,协同运动会对调平过程精度产生影响,使调平精度下降了0.003°,仍处于所允许的调平精度范围之内,校核了调平支腿的径向力,结果显示径向力最大为14.6KN,符合设计要求;对起竖过程中重心的加速度产生影响,会提高起竖负载的重心加速度,结果表明水平与垂直方向的加速度在0.6g之内,小于1g的设计指标;仿真结果证明了协同展车的可行性。(4) This method analyzes the influence of the special vehicle's coordinated motion on the leveling and erection process, and establishes a coordinated motion simulation model according to the mechanical relationship between the erection mechanism and the leveling system. It affects the accuracy of the leveling process, which reduces the leveling accuracy by 0.003°, which is still within the allowable leveling accuracy range. The radial force of the leveling legs is checked. It meets the design requirements; it affects the acceleration of the center of gravity during the erection process, which will increase the acceleration of the center of gravity of the erected load. The results show that the acceleration in the horizontal and vertical directions is within 0.6g, which is less than the design index of 1g; the simulation results prove that the synergistic development feasibility of the car.

附图说明Description of drawings

图1为本发明特种车辆快速展车协同控制方法的算法流程图。FIG. 1 is an algorithm flow chart of the coordinated control method for rapid display of special vehicles according to the present invention.

图2为本发明实施例2协同展车运动方案流程图。FIG. 2 is a flow chart of the coordinated exhibition vehicle movement scheme according to Embodiment 2 of the present invention.

图3为本发明实施例2车架平台坐标关系图。FIG. 3 is a coordinate relation diagram of a vehicle frame platform in Embodiment 2 of the present invention.

图4为本发明实施例2调平流程示意图。FIG. 4 is a schematic diagram of a leveling process according to Embodiment 2 of the present invention.

图5为本发明实施例2气液混合驱动起竖系统构成图。FIG. 5 is a structural diagram of a gas-liquid hybrid driving erection system in Embodiment 2 of the present invention.

图6为本发明实施例2快速起竖系统原理图。FIG. 6 is a schematic diagram of a rapid erection system according to Embodiment 2 of the present invention.

图7为本发明实施例2多级缸起竖结构示意图。FIG. 7 is a schematic diagram of the erecting structure of the multi-stage cylinder according to the second embodiment of the present invention.

图8为本发明实施例3行星滚柱丝杠力学模型图。FIG. 8 is a mechanical model diagram of a planetary roller screw according to Embodiment 3 of the present invention.

图9为本发明实施例3接触点受力情况图。FIG. 9 is a diagram showing the force of a contact point in Embodiment 3 of the present invention.

图10为本发明实施例3调平初始状态受力简图。FIG. 10 is a schematic diagram of the force in the initial state of leveling according to Embodiment 3 of the present invention.

图11为本发明实施例3基于干扰补偿的自适应模糊PID控制结构图。FIG. 11 is a structural diagram of an adaptive fuzzy PID control based on interference compensation according to Embodiment 3 of the present invention.

图12为本发明实施例3调平支腿AMESim模型图。FIG. 12 is a model diagram of the AMESim leveling leg according to Embodiment 3 of the present invention.

图13为本发明实施例3调平控制系统AMESim模型图。FIG. 13 is a model diagram of the AMESim leveling control system according to Embodiment 3 of the present invention.

图14为本发明实施例3调平系统整体模型图。FIG. 14 is an overall model diagram of the leveling system in Embodiment 3 of the present invention.

图15为本发明实施例3调平控制器仿真模型图。FIG. 15 is a simulation model diagram of a leveling controller in Embodiment 3 of the present invention.

图16为本发明实施例3MATLAB/Simulink环境下联合仿真模型图。FIG. 16 is a co-simulation model diagram under the MATLAB/Simulink environment according to Embodiment 3 of the present invention.

图17为本发明实施例3小倾角下调平支腿位移仿真曲线图。FIG. 17 is a simulation curve diagram of the displacement of the leveling outrigger adjusted by the small inclination angle according to Embodiment 3 of the present invention.

图18为本发明实施例3调平支腿实物图。FIG. 18 is a physical view of the leveling outrigger according to Embodiment 3 of the present invention.

图19为本发明实施例3快速调平系统组成框图。FIG. 19 is a block diagram showing the composition of the rapid leveling system according to Embodiment 3 of the present invention.

图20为本发明实施例3调平控制系统原理图。FIG. 20 is a schematic diagram of a leveling control system in Embodiment 3 of the present invention.

图21为本发明实施例3调平倾角变化曲线、调平支腿位移曲线图。FIG. 21 is a graph showing the change curve of the leveling inclination angle and the displacement curve of the leveling outrigger according to Embodiment 3 of the present invention.

图22为本发明实施例3干扰补偿控制与模糊PID控制对比图。FIG. 22 is a comparison diagram of interference compensation control and fuzzy PID control in Embodiment 3 of the present invention.

图23为本发明实施例3调平支腿仿真与实验调平偏差曲线图。FIG. 23 is a curve diagram of the simulation and experimental leveling deviation of the leveling legs according to Embodiment 3 of the present invention.

图24为本发明实施例4多孔节流缓冲装置图。FIG. 24 is a diagram of a porous throttle buffer device according to Embodiment 4 of the present invention.

图25为本发明实施例4三级液压缸模型图。FIG. 25 is a model diagram of a three-stage hydraulic cylinder in Embodiment 4 of the present invention.

图26为本发明实施例4端面贴合式新型缓冲原理图。FIG. 26 is a schematic diagram of a new type of end-face-fitted buffer according to Embodiment 4 of the present invention.

图27为本发明实施例4插装阀组实物图。FIG. 27 is a physical view of the cartridge valve block in Embodiment 4 of the present invention.

图28为本发明实施例4起竖控制原理图。FIG. 28 is a schematic diagram of the erection control principle according to Embodiment 4 of the present invention.

图29为本发明实施例4起竖控制面板图。FIG. 29 is a diagram of a vertical control panel according to Embodiment 4 of the present invention.

图30为本发明实施例4特种车辆实验样机图。FIG. 30 is a diagram of an experimental prototype of a special vehicle in Embodiment 4 of the present invention.

图31为本发明实施例4实验样机起竖状态图。FIG. 31 is a diagram showing the erection state of the experimental prototype of Example 4 of the present invention.

图32为本发明实施例4实验与仿真对比图。FIG. 32 is a comparison diagram of experiment and simulation in Example 4 of the present invention.

图33为本发明实施例5起竖油缸垂直方向受力分析图。FIG. 33 is an analysis diagram of the vertical direction force of the erecting oil cylinder according to the fifth embodiment of the present invention.

图34为本发明实施例5负载与特种车辆底盘连接处垂直方向受力分析图。Fig. 34 is an analysis diagram of the vertical direction force at the connection between the load and the chassis of the special vehicle according to the fifth embodiment of the present invention.

图35为本发明实施例5特种车辆协同运动仿真模型图。FIG. 35 is a diagram of a simulation model of coordinated motion of special vehicles in Embodiment 5 of the present invention.

图36为本发明实施例5起竖液压缸模型图。Fig. 36 is a model diagram of the erecting hydraulic cylinder according to the fifth embodiment of the present invention.

图37为本发明实施例5调平系统控制信号图。FIG. 37 is a control signal diagram of a leveling system according to Embodiment 5 of the present invention.

图38为本发明实施例5协同运动调平支腿位移图。FIG. 38 is a displacement diagram of the coordinated motion leveling outriggers according to Embodiment 5 of the present invention.

图39为本发明实施例5协同运动起竖液压缸位移图。Fig. 39 is a displacement diagram of the hydraulic cylinders for coordinated movement and erection according to the fifth embodiment of the present invention.

图40为本发明实施例5协同运动起竖角度图。FIG. 40 is a diagram showing the erection angle of the coordinated movement according to Embodiment 5 of the present invention.

图41为本发明实施例5协同运动调平支腿位移偏差图。FIG. 41 is a displacement deviation diagram of the coordinated motion leveling outriggers according to Embodiment 5 of the present invention.

图42为本发明实施例5协同运动起竖力曲线图。FIG. 42 is a graph showing the erecting force of coordinated motion in Embodiment 5 of the present invention.

图43为本发明实施例5大倾角工况下调平支腿受力图。Fig. 43 is the force diagram of the leveling outrigger under the condition of large inclination angle according to the fifth embodiment of the present invention.

图44为本发明实施例5小倾角工况下调平支腿受力图。Fig. 44 is the force diagram of the leveling outrigger under the condition of small inclination angle according to the fifth embodiment of the present invention.

图45为本发明实施例5大倾角工况下调平支腿径向力图。Fig. 45 is the radial force diagram of the leveling leg under the condition of large inclination according to the fifth embodiment of the present invention.

图46为本发明实施例5两种运动方式起竖系统方向的加速度对比图。FIG. 46 is a comparison diagram of acceleration in the direction of the erection system of two motion modes according to Embodiment 5 of the present invention.

其中:在图10中,图(a)为特种车辆俯左仰状态受力图,图(b)为特种车辆俯右仰状态受力图;Among them: in Figure 10, Figure (a) is the force diagram of the special vehicle in the pitch-left state, and Figure (b) is the force diagram of the special vehicle in the pitch-right state;

在图17中,图(a)为大倾角下调平支腿位移仿真曲线图,图(b)为小倾角下调平支腿位移仿真曲线图;In Figure 17, Figure (a) is the simulation curve of the displacement of the leveling outrigger under large inclination angle, and Figure (b) is the simulation curve of the displacement of the leveling outrigger under the small inclination angle;

在图21中,图(a)为大倾角下调平倾角变化曲线图,图(b)为小倾角下调平倾角变化曲线图,图(c)为大倾角下调平支腿位移曲线图,图(d)为小倾角下调平支腿位移曲线图;In Figure 21, Figure (a) is the change curve of the leveling inclination angle when the large inclination angle is adjusted, Figure (b) is the change curve of the inclination angle when the small inclination angle is adjusted, and Figure (c) is the displacement curve of the leveling leg when the large inclination angle is adjusted. d) is the displacement curve diagram of the leveling outrigger adjusted at a small inclination angle;

在图22中,图(a)为小倾角下俯仰角变化对比图,图(b)为小倾角下横滚角变化对比图;In Figure 22, Figure (a) is a comparison diagram of the change in pitch angle under a small inclination angle, and Figure (b) is a comparison diagram of the change in the roll angle under a small inclination angle;

在图23中,图(a)为大倾角工况仿真与实验调平偏差曲线图,图(b)为小倾角工况仿真与实验调平偏差曲线图;In Figure 23, Figure (a) is a graph of the simulation and experimental leveling deviation under large inclination angle conditions, and Figure (b) is a graph of simulation and experimental leveling deviation under small inclination angle conditions;

在图32中,图(a)为仿真与实验起竖角度变化曲线,图(b)为仿真与实验起竖角度偏差曲线;In Figure 32, Figure (a) is the variation curve of the vertical angle between the simulation and the experiment, and Figure (b) is the deviation curve of the vertical angle between the simulation and the experiment;

在图38中,图(a)为协同运动时大倾角工况下调平支腿位移图,图(b)为协同运动时小倾角工况下调平支腿位移图;In Figure 38, Figure (a) is the displacement diagram of the leveling outrigger under the condition of large inclination during coordinated motion, and Figure (b) is the displacement diagram of the outrigger under the condition of small inclination under the coordinated motion;

在图41中,图(a)为协同运动时大倾角工况下调平支腿位移偏差图,图(b)为协同运动时小倾角工况下调平支腿位移偏差图;In Figure 41, Figure (a) is the displacement deviation diagram of the leveling outrigger under the condition of large inclination angle during coordinated movement, and Figure (b) is the displacement deviation diagram of the outrigger under the condition of small inclination under the coordinated movement;

在图46中,图(a)为两种运动起竖系统水平方向的加速度对比图,图(b)为两种运动起竖系统竖直方向的加速度对比图。In Figure 46, Figure (a) is a comparison diagram of the acceleration in the horizontal direction of the two motion erection systems, and Figure (b) is a comparison diagram of the acceleration in the vertical direction of the two motion erection systems.

具体实施方式Detailed ways

为了使本领域的普通技术人员能更好的理解本发明的技术方案,下面结合附图和实施例对本发明的技术方案做进一步的描述。In order to enable those skilled in the art to better understand the technical solutions of the present invention, the technical solutions of the present invention are further described below with reference to the accompanying drawings and embodiments.

实施例1:参照附图1-46所示的一种特种车辆快速展车协同控制方法,包括步骤:Embodiment 1: Referring to a kind of coordinated control method for rapid display of special vehicles shown in the accompanying drawings 1-46, it includes the steps:

Step1.特种车辆在协同展车的过程中,提出特种车辆协同展车运动的各项边界条件,并根据边界条件规划特种车辆展车过程协同运动方案,同时提出并行工作的协同展车模式;Step1. In the process of collaborative exhibition of special vehicles, various boundary conditions of the coordinated exhibition movement of special vehicles are proposed, and the coordinated movement scheme of the special vehicle exhibition process is planned according to the boundary conditions, and a collaborative vehicle exhibition mode of parallel work is proposed at the same time;

Step2.设计基于干扰补偿的特种车辆协同调平方法,并利用基于干扰补偿的特种车辆协同调平方法控制特种车辆的协同展车过程;Step2. Design a coordinated leveling method for special vehicles based on interference compensation, and use the coordinated leveling method for special vehicles based on interference compensation to control the coordinated display process of special vehicles;

Step3.设计基于高压蓄能的特种车辆协同起竖方法,并利用基于高压蓄能的特种车辆协同起竖方法控制特种车辆的协同展车过程,完成特种车辆快速展车协同控制;Step3. Design the coordinated erection method of special vehicles based on high-voltage energy storage, and use the coordinated erection method of special vehicles based on high-voltage energy storage to control the coordinated display process of special vehicles to complete the coordinated control of rapid vehicle display of special vehicles;

Step4.根据起竖机构与调平系统的力学关系建立协同运动的仿真模型,确定特种车辆在协同运动过程中变负载冲击与快速展车系统之间的影响关系。Step 4. According to the mechanical relationship between the erection mechanism and the leveling system, a simulation model of coordinated motion is established, and the influence relationship between the variable load impact and the rapid display system of the special vehicle during the coordinated motion is determined.

优选的,步骤Step1所述的特种车辆展车过程中的协同运动方案的设计过程包括:Preferably, the design process of the coordinated motion scheme in the special vehicle exhibition process described in Step 1 includes:

Step101.根据特种车辆协同展车过程中的各项边界条件,设计调平系统与起竖系统同时工作的协同展车方案;Step101. According to various boundary conditions in the process of cooperative exhibition of special vehicles, design a coordinated exhibition scheme in which the leveling system and the erection system work at the same time;

Step102.在特种车辆协同展车方案的基础上,根据四支点调平的调平原理,对四支点调平的调平原理进行分析,选择采用三点逐高法对车辆进行调平Step102. On the basis of the coordinated exhibition plan for special vehicles, according to the leveling principle of four-pivot leveling, analyze the leveling principle of four-pivot leveling, and choose to use the three-point-by-height method to level the vehicle

Step1021.设计基于四支点调平的调平方案;Step1021. Design a leveling scheme based on four fulcrum leveling;

Step1022.在基于四支点调平的调平原理的基础上,选择采用三点逐高法对车辆进行调平;Step1022. On the basis of the leveling principle based on four pivot points, choose to use the three-point height-by-height method to level the vehicle;

Step103.在特种车辆协同展车方案的基础上,对起竖机构进行优化,设计快速起竖系统方案。Step103. On the basis of the special vehicle collaborative exhibition plan, optimize the erection mechanism and design a rapid erection system solution.

优选的,步骤Step2所述的基于干扰补偿的调平过程控制方法的设计过程包括Preferably, the design process of the disturbance compensation-based leveling process control method described in Step 2 includes the following steps:

Step201.以电动缸作为调平支腿,通过计算调平过程理论误差和计算调平支腿的理论承载力,建立电动缸形变误差模型;Step201. Use the electric cylinder as the leveling leg, and establish the electric cylinder deformation error model by calculating the theoretical error of the leveling process and calculating the theoretical bearing capacity of the leveling leg;

Step202.在电动缸形变误差模型中引入基于干扰补偿的调平控制策略,通过将电动缸的形变量作为调平控制器的初始输入误差,将型变量作为控制系统的前馈,采用模糊PID控制方法进行反馈控制,形成基于干扰补偿的特种车辆协同调平方法。Step202. Introduce the leveling control strategy based on disturbance compensation in the electric cylinder deformation error model. By taking the deformation of the electric cylinder as the initial input error of the leveling controller and the shape variable as the feedforward of the control system, fuzzy PID control is adopted. The method performs feedback control and forms a coordinated leveling method for special vehicles based on disturbance compensation.

优选的,步骤Step3基于高压蓄能的特种车辆协同起竖方法的控制过程包括Preferably, the control process of the method for coordinated erecting of special vehicles based on high-voltage energy storage in Step 3 includes the following steps:

Step301.采用高压蓄能器驱动特种车辆快速起竖方案,建立高压蓄能器;Step301. Adopt the high-voltage accumulator to drive the rapid erection scheme of special vehicles, and establish the high-voltage accumulator;

Step302.在高压蓄能器的基础上,建立三级液压缸数学模型;Step302. On the basis of the high-pressure accumulator, establish a mathematical model of a three-stage hydraulic cylinder;

Step303.在三级液压缸数学模型的基础上,建立缓冲装置的数学模型。Step303. On the basis of the mathematical model of the three-stage hydraulic cylinder, establish the mathematical model of the buffer device.

实施例2:步骤Step1所述的特种车辆展车过程中的展车协同运动方案的设计过程包括Embodiment 2: The design process of the coordinated motion scheme of the exhibition vehicle in the special vehicle exhibition process described in Step 1 includes:

针对传统特种车辆采用传统液压串行驱动方式,存在的驱动效率低、展车时间长等问题,提出集成高压储能起竖驱动与电驱动调平的协同展车运动控制方案,开展电动支腿结构、调平系统及高压储能驱动起竖系统设计,并进行起竖机构优化,为开展展车协同控制分析与实验验证奠定基础;Aiming at the problems of low driving efficiency and long exhibition time due to the traditional hydraulic serial drive method used by traditional special vehicles, a coordinated exhibition vehicle motion control scheme integrating high-voltage energy storage erection drive and electric drive leveling was proposed, and electric outriggers were developed. Design of structure, leveling system and high-voltage energy storage drive erection system, and optimization of erection mechanism, laying a foundation for the coordinated control analysis and experimental verification of exhibition vehicles;

Step101.设计特种车辆的协同展车方案Step101. Design a collaborative exhibition plan for special vehicles

根据实际需求提出特种车辆协同展车方案,设各项边界条件为:According to the actual needs, a special vehicle collaborative exhibition plan is proposed, and the boundary conditions are set as:

(1)调平采用全电调平时间不大于10s,调平精度不大于0.5°,支腿电动缸单腿径向力不大于14.7kN;(1) The all-electric leveling time is not more than 10s, the leveling accuracy is not more than 0.5°, and the single-leg radial force of the outrigger electric cylinder is not more than 14.7kN;

(2)快速起竖时间不大于15s;(2) The rapid erection time is not more than 15s;

(3)起竖液压缸行程不大于5m,起竖过程中重心加速度水平与竖直方向分量均小于1g;(3) The stroke of the erecting hydraulic cylinder is not more than 5m, and the horizontal and vertical components of the acceleration of the center of gravity during the erection process are both less than 1g;

为进一步缩小特种车辆展车总用时,设计调平系统与起竖系统同时工作的调平方案,可使展车总用时不大于15s,本方案调平过程一共分为三个阶段:第一阶段为调平支腿空载快速伸出直至触地,同时起竖系统进行起竖作业,起竖液压缸第一级与第二级伸出;第二阶段为调平支腿触地调平阶段,到特种车辆调平为止,起竖油缸在该阶段第二级完全伸出,第三级出于正在伸出阶段;第三阶段为起竖油缸伸出到位,整车达到平稳状态;协同展车流程图如图2所示;In order to further reduce the total time used for special vehicle exhibition vehicles, a leveling scheme is designed in which the leveling system and the erection system work at the same time, so that the total vehicle exhibition time is not more than 15s. The leveling process of this scheme is divided into three stages: the first stage In order to quickly extend the leveling legs with no load until they touch the ground, and at the same time the erection system performs the erection operation, the first stage and the second stage of the erection hydraulic cylinder are extended; the second stage is the leveling stage when the leveling legs touch the ground. , until the special vehicle is leveled, the erection cylinder is fully extended in the second stage at this stage, and the third stage is in the extending stage; the third stage is when the erection cylinder is extended in place, and the whole vehicle reaches a stable state; The flow chart of the car is shown in Figure 2;

采用上述协同展车方案,可使特种车辆的展车时间从串行工作的25s缩短至并行工作的15s;By adopting the above-mentioned collaborative vehicle exhibition scheme, the exhibition time of special vehicles can be shortened from 25s for serial work to 15s for parallel work;

Step102.在特种车辆协同展车方案的基础上,设计支持上述展平过程的电动调平方案Step1021.设计基于四支点调平的调平方案Step102. On the basis of the special vehicle collaborative exhibition scheme, design an electric leveling scheme that supports the above-mentioned flattening process. Step1021. Design a leveling scheme based on four-pivot leveling

(1)设在任何系统的调平均可以简化为对某一平台平面的调平,根据“三点或两条相交直线确定一个平面”的原理,平台调平的实质是将平台上两条相交直线调成水平,为此,在平台的X、Y两个相互垂直的方向上安装一双轴倾角传感器来测量两个方向上的水平倾角,其坐标关系如图3所示;(1) The leveling set in any system can be simplified as the leveling of a certain platform plane. According to the principle of "three points or two intersecting straight lines determine a plane", the essence of platform leveling is to make two intersecting lines on the platform. The straight line is adjusted to be level. For this purpose, a dual-axis inclination sensor is installed in the two mutually perpendicular directions of X and Y of the platform to measure the horizontal inclination in the two directions. The coordinate relationship is shown in Figure 3;

(2)设支腿i在水平坐标系OX0Y0Z0中的坐标为0Pi=(0PiX,0PiY,0PiZ)T,在平台坐标系OX1Y1Z1中的坐标为1Pi=(1PiX,1PiY,1PiZ)T;假设平台初始角α、β不为0,且通常情况下,平台都为小倾角,满足α、β为小角度的条件,根据空间姿态变换的运动学结论,两坐标系之间的变换矩阵如下:(2) Let the coordinate of the outrigger i in the horizontal coordinate system OX 0 Y 0 Z 0 be 0 P i =( 0 P iX , 0 P iY , 0 P iZ ) T , in the platform coordinate system OX 1 Y 1 Z 1 The coordinates in are 1 P i =( 1 P iX , 1 P iY , 1 P iZ ) T ; it is assumed that the initial angles α and β of the platform are not 0, and under normal circumstances, the platform is a small inclination angle, satisfying α and β as For the condition of small angle, according to the kinematics conclusion of spatial attitude transformation, the transformation matrix between the two coordinate systems is as follows:

Figure BDA0003741941820000111
Figure BDA0003741941820000111

(3)假设在坐标系OX1Y1Z1中,各支腿坐标为:1Pi=(1Xi,1Yi,1Zi)T;则

Figure BDA0003741941820000112
于是各支点Z的坐标为:(3) Assuming that in the coordinate system OX 1 Y 1 Z 1 , the coordinates of each leg are: 1 P i =( 1 X i , 1 Y i , 1 Z i ) T ; then
Figure BDA0003741941820000112
So the coordinates of each fulcrum Z are:

0Zi=(-α,β,1)(1Xi,1Yi,1Zi)T (2) 0 Z i =(-α,β,1)( 1 X i , 1 Y i , 1 Z i ) T (2)

(4)调平之前进行预支承,首先判断出最高点,将这点作为坐标原点,则各支腿的初始位置为:(4) Carry out pre-support before leveling, first determine the highest point, and use this point as the origin of the coordinates, then the initial position of each leg is:

0Zi=-α1Xi1Yi+1Zi (3) 0 Z i = -α 1 X i1 Y i + 1 Z i (3)

显然,1Zi=0,因此,上式可表示为:Obviously, 1 Z i =0, therefore, the above formula can be expressed as:

0Zi=-α1Xi1Yi (4) 0 Z i = -α 1 X i1 Y i (4)

(5)假设i=h为最高点,0Zh0Zi,则任意时刻,各支点与最高点位置差为:(5) Assuming i=h is the highest point, 0 Z h0 Z i , then at any time, the position difference between each fulcrum and the highest point is:

ei0Zh-0Zi=-α(1Xh-1Xi)+β(1Yh-1Yi) (5)e i = 0 Z h - 0 Z i = -α( 1 X h - 1 X i )+β( 1 Y h - 1 Y i ) (5)

(6)各支腿沿车架前后左右对称分布,设支腿分布的的长边间距为La,短边间距为Lb,则有各支腿在动坐标系中的坐标为:(6) The outriggers are symmetrically distributed along the front, rear, left and right sides of the frame. If the distance between the long sides of the outriggers is L a and the distance between the short sides is L b , the coordinates of the outriggers in the moving coordinate system are:

Figure BDA0003741941820000113
Figure BDA0003741941820000113

据此,可计算出各支腿的伸出量,倾角的正负服从右手规则,即从坐标矢端看,逆时针旋转为正,根据X轴和Y轴方向两倾角正负的不同组合,对应的坐标最高的支腿也不同,以下分四种情况分析:Based on this, the extension of each leg can be calculated, and the positive and negative inclination angles obey the right-hand rule, that is, from the coordinate vector end, counterclockwise rotation is positive, according to the different combinations of positive and negative inclination angles in the X-axis and Y-axis directions The corresponding outriggers with the highest coordinates are also different. The following four situations are analyzed:

(a)当α<0,β>0时,支腿1最高:(a) When α<0, β>0, the outrigger 1 is the highest:

Figure BDA0003741941820000114
Figure BDA0003741941820000114

(b)当α>0,β>0时,支腿2最高,(b) When α>0, β>0, the outrigger 2 is the highest,

Figure BDA0003741941820000115
Figure BDA0003741941820000115

(c)当α<0,β>0时,支腿3最高,(c) When α<0, β>0, the outrigger 3 is the highest,

Figure BDA0003741941820000116
Figure BDA0003741941820000116

(d)当α<0,β>0时,支腿4最高,(d) When α<0, β>0, the outrigger 4 is the highest,

Figure BDA0003741941820000121
Figure BDA0003741941820000121

根据上述四种情况可以总结出:每次调平时,各支腿的调节量为0,||αLa||,||βLb||,||αLa||+||βLb||四种数值中的一种,根据高点不同进行分配;调平过程可以循环迭代,直至水平度达到要求;According to the above four situations, it can be concluded that the adjustment amount of each leg is 0 during each leveling, ||αL a ||, ||βL b ||, ||αL a ||+||βL b || One of the four values, assigned according to different high points; the leveling process can be iterated repeatedly until the level reaches the requirements;

Step1022.在基于四支点调平的调平原理的基础上,设计四支点调平方案:为达到10s内快速调平的要求,调平支腿沿车身轴向对称布置,在调平控制器、倾角传感器等的作用下,触地调平阶段检测四条支腿确实着地后,以后支腿左右调平精度为主要控制参数,前支腿在后支腿调平过程中同步伸出,因为采用具有无级调速功能的电动缸作为四条支腿同时动作、并行调平的方案,节省调平时间;由于特种车辆电动调平时支腿不便于缩短,所以采用三点逐高法进行调平,具体调平流程如图4所示;Step1022. On the basis of the leveling principle based on four-fulcrum leveling, design a four-fulcrum leveling scheme: In order to meet the requirement of rapid leveling within 10s, the leveling legs are arranged symmetrically along the body axis, and the leveling controller, Under the action of the inclination sensor, etc., after the four outriggers are detected in the ground contact leveling stage, the left and right leveling accuracy of the rear outriggers is the main control parameter. The electric cylinder with the stepless speed regulation function is used as a scheme in which the four outriggers act at the same time and are leveled in parallel, which saves the leveling time; since the outriggers are inconvenient to shorten during the electric leveling of special vehicles, the three-point-by-height method is used for leveling. The leveling process is shown in Figure 4;

Step103.在特种车辆协同展车方案的基础上,设计快速起竖系统方案Step103. On the basis of the special vehicle collaborative exhibition scheme, design a rapid erection system scheme

Step1031.分析高压蓄能器驱动快速起竖工作原理Step1031. Analyze the working principle of high-voltage accumulator-driven rapid erection

利用高压蓄能器驱动的快速起竖系统如图5所示,快速起竖系统从车辆自身的动力源取力,来驱动液压泵对高压蓄能器进行充能,利用活塞将气腔和液腔分开,快速起竖时将液体比例换向阀打开,高压液体从蓄能器中快速输送到多级液压缸,实现快速起竖,起竖油缸接近末端位置时,缸内末端缓冲阻尼器介入工作,实现减速;蓄能器作为动力源的气液混合驱动系统原理如图6所示;The rapid erection system driven by the high-pressure accumulator is shown in Figure 5. The rapid erection system takes power from the vehicle's own power source to drive the hydraulic pump to charge the high-pressure accumulator. The cavity is separated, and the liquid proportional reversing valve is opened during rapid erection, and the high-pressure liquid is quickly transported from the accumulator to the multi-stage hydraulic cylinder to achieve rapid erection. When the erection cylinder approaches the end position, the end buffer damper in the cylinder intervenes work to achieve deceleration; the principle of the gas-liquid hybrid drive system with the accumulator as the power source is shown in Figure 6;

根据图6所示快速起竖系统原理图,可知需要对高压蓄能器、起竖机构进行建模;高压蓄能器需对其内部进行数学建模,起竖机构分为三部分建模分析:一是对三级起竖液压缸数学建模,二是对三铰点起竖结构进行优化设计,三是对起竖液压缸换级缓冲进行数学建模;According to the schematic diagram of the rapid erection system shown in Figure 6, it can be seen that the high-voltage accumulator and erection mechanism need to be modeled; the high-voltage accumulator needs to be mathematically modeled inside, and the erection mechanism is divided into three parts for modeling and analysis : First, the mathematical modeling of the three-stage erecting hydraulic cylinder, the second is to optimize the design of the erecting structure of the three hinge points, and the third is the mathematical modeling of the stage-changing buffer of the erecting hydraulic cylinder;

Step1032.起竖机构优化设计Step1032. Optimal design of erection mechanism

特种车辆起竖过程是将负载由水平状态变为竖直状态,起竖结构通常采用三铰点结构,由于特种车辆起竖之前需要进行调平,因为车辆前后跨距较大,调平支腿行程有限,所以需要通过起竖角度对调平俯仰角进行补偿,据此设定起竖液压油缸最大可起竖至95°,限定液压油缸在起竖到95°时行程小于5m,安装距小于3m,负载最大长度8m,初始起竖力大于130t,因此需要对起竖机构进行优化设计,起竖结构如图7所示;The erection process of the special vehicle is to change the load from the horizontal state to the vertical state. The erection structure usually adopts a three-joint structure. Because the special vehicle needs to be leveled before the erection, because the front and rear span of the vehicle is large, the leveling legs The stroke is limited, so it is necessary to compensate the leveling and pitching angle through the erection angle. According to this, the hydraulic cylinder can be erected to a maximum of 95°, and the stroke of the hydraulic cylinder is limited to be less than 5m when it is erected to 95°, and the installation distance is less than 3m , the maximum length of the load is 8m, and the initial erection force is greater than 130t, so it is necessary to optimize the design of the erection mechanism. The erection structure is shown in Figure 7;

设起竖机构的主要设计参数如下:The main design parameters of erecting mechanism are as follows:

(1)负载质心O3沿垂直于负载方向距旋转支点O的距离为L4=1.1m;(1) The distance between the load center of mass O 3 and the rotation fulcrum O along the direction perpendicular to the load is L 4 =1.1m;

(2)负载质心O3沿负载方向距旋转支点O的距离为L5=6.1m;(2) The distance between the load center of mass O 3 and the rotation fulcrum O along the load direction is L 5 =6.1m;

(3)负载质量m=32t;(3) Load mass m=32t;

(4)重力加速度取g=9.8m/s2(4) The acceleration of gravity is taken as g=9.8m/s 2 ;

(5)旋转支点O到起竖油缸下支点O2的水平距离为L1(5) The horizontal distance from the rotation fulcrum O to the lower fulcrum O 2 of the vertical cylinder is L 1 ;

(6)旋转支点O到起竖油缸上支点O1沿负载方向的距离为L3(6) The distance from the rotation fulcrum O to the upper fulcrum O 1 of the vertical cylinder along the load direction is L 3 ;

(7)L1与L3为可变量;(7) L 1 and L 3 are variable;

选取负载作为研究对象,负载的欧拉动力学方程为:Selecting the load as the research object, the Euler dynamic equation of the load is:

Jθ”1=FL3 sinθ4-mgL6 cosθ3 (10)Jθ” 1 =FL 3 sinθ 4 -mgL 6 cosθ 3 (10)

起竖机构中存在以下几何关系,The following geometric relationships exist in the erection mechanism,

Figure BDA0003741941820000131
Figure BDA0003741941820000131

Figure BDA0003741941820000132
Figure BDA0003741941820000132

Figure BDA0003741941820000133
Figure BDA0003741941820000133

Figure BDA0003741941820000134
Figure BDA0003741941820000134

θ3=θ12 (15)θ 312 (15)

Figure BDA0003741941820000135
Figure BDA0003741941820000135

Figure BDA0003741941820000136
Figure BDA0003741941820000136

Figure BDA0003741941820000137
Figure BDA0003741941820000137

再根据起竖机构边界条件列出式(19)-(23):Then formulas (19)-(23) are listed according to the boundary conditions of the erection mechanism:

Figure BDA0003741941820000138
Figure BDA0003741941820000138

Figure BDA0003741941820000139
Figure BDA0003741941820000139

Figure BDA00037419418200001310
Figure BDA00037419418200001310

3m≤L1≤8m (22)3m≤L 1 ≤8m (22)

3m≤L3≤8m (23)3m≤L 3 ≤8m (23)

对式(19)-(23)进行计算,对液压缸优化设计可得如表1所示数据;Calculate the formulas (19)-(23), and the data shown in Table 1 can be obtained for the optimal design of the hydraulic cylinder;

表1:起竖液压缸优化后数据Table 1: Data after optimization of erecting hydraulic cylinders

Figure BDA00037419418200001311
Figure BDA00037419418200001311

Figure BDA0003741941820000141
Figure BDA0003741941820000141

经上述过程,可以得出缸安装距、缸在93°时的行程、旋转支点O到起竖油缸上支点O1沿负载方向的距离L3和旋转支点O到起竖油缸下支点O2的水平距离L1等起竖液压缸优化后的数据,进行液压缸的设计。Through the above process, it can be obtained that the installation distance of the cylinder, the stroke of the cylinder at 93°, the distance L3 from the rotation fulcrum O to the upper fulcrum O1 of the vertical cylinder along the load direction, and the distance from the rotation fulcrum O to the lower fulcrum O2 of the vertical cylinder. Based on the optimized data of the erecting hydraulic cylinder, such as the horizontal distance L 1 , the hydraulic cylinder is designed.

实施例3:步骤Step2所述的基于干扰补偿的调平过程控制方法的设计过程包括Embodiment 3: The design process of the disturbance compensation-based leveling process control method described in Step 2 includes:

围绕特种车辆重载工况下的快速调平需求,针对传统液压调平缸在大负载工况下调平精度不高问题,采用电动缸作为调平支腿,建立电动缸形变误差模型,并分析四支点调平工况下的支腿缸负载特性,将电动缸调平过程中由支腿变形产生的变形误差作为反馈控制的前馈输入,采用干扰补偿反馈方法修正调平误差,据此提出基于干扰补偿的特种车辆快速调平控制策略;利用AMESim和MATLAB/Simulink软件对调平系统进行联合仿真验证,并通过搭建的实验样机进行实验验证:Focusing on the rapid leveling requirements of special vehicles under heavy load conditions, in view of the low leveling accuracy of traditional hydraulic leveling cylinders under heavy load conditions, electric cylinders are used as leveling legs to establish a deformation error model of electric cylinders and analyze them. The load characteristics of the outrigger cylinder under the four-point leveling condition, the deformation error generated by the outrigger deformation during the leveling process of the electric cylinder is used as the feedforward input of the feedback control, and the interference compensation feedback method is used to correct the leveling error. A rapid leveling control strategy for special vehicles based on interference compensation; the leveling system is co-simulated and verified by AMESim and MATLAB/Simulink software, and the experimental verification is carried out through the built experimental prototype:

Step201.围绕特种车辆重载工况下的快速调平需求,针对传统液压调平缸在大负载工况下调平精度不高问题,采用电动缸作为调平支腿,建立电动缸形变误差模型Step201. Focusing on the rapid leveling requirements of special vehicles under heavy load conditions, in view of the low leveling accuracy of traditional hydraulic leveling cylinders under heavy load conditions, electric cylinders are used as leveling legs to establish an electric cylinder deformation error model

Step2011.调平过程理论误差计算Step2011. Theoretical error calculation of leveling process

车体调平时的误差主要受支腿与车架变形的影响,调平支腿电动缸中主要的形变来自于行星滚柱丝杠的变形,组件的轴向变形主要分为以下3种情况:一是螺纹和滚柱之间的点接触螺纹槽的赫兹变形,二是丝杠和螺母分别与滚柱接触时的轴向变形,丝杠和螺母分别与滚柱接触时螺牙的变形;The error of the body leveling is mainly affected by the deformation of the outrigger and the frame. The main deformation in the electric cylinder of the leveling outrigger comes from the deformation of the planetary roller screw. The axial deformation of the component is mainly divided into the following three situations: One is the Hertzian deformation of the point contact thread groove between the thread and the roller, the other is the axial deformation of the lead screw and the nut when they are in contact with the roller, and the deformation of the thread when the lead screw and the nut are in contact with the roller respectively;

(1)设在图8中,F0为行星滚柱丝杠的轴向受力,其各接触点受力相同,可以求出各接触点受力;图9中为接触点受力,Fn为接触法向力,Fa为轴向力,Ft为切向力,Fr为径向力,Fs为轴向力和切向力的合力,λ为滚柱的导程角,λ=4°;θ为丝杠与滚柱、螺母与滚柱的接触角,θ=45°;(1) Set in Figure 8, F 0 is the axial force of the planetary roller screw, and the force of each contact point is the same, and the force of each contact point can be calculated; Figure 9 is the force of the contact point, F n is the contact normal force, F a is the axial force, F t is the tangential force, F r is the radial force, F s is the resultant force of the axial force and the tangential force, λ is the lead angle of the roller, λ=4°; θ is the contact angle between screw and roller, nut and roller, θ=45°;

则总轴力与单个接触点的法向力的关系为Then the relationship between the total axial force and the normal force of a single contact point is

Figure BDA0003741941820000142
Figure BDA0003741941820000142

式中n为滚柱个数,为12个;where n is the number of rollers, which is 12;

(2)根据赫兹理论,结合本实施例中行星滚柱丝杠结构的实际接触情况,确定中心丝杠与滚柱之间点接触的四个主曲率分别为:(2) According to the Hertz theory, combined with the actual contact situation of the planetary roller screw structure in this embodiment, it is determined that the four main curvatures of the point contact between the center screw and the roller are:

Figure BDA0003741941820000143
Figure BDA0003741941820000143

式中,R为滚柱与中心丝杠接触点处的圆弧半径,为31mm;R1为中心丝杠螺纹滚道的半径,为24mm;d1为接触点到中心丝杠的半径,为24.2mm;d2为接触点到滚柱轴线的半径,为6.3mm;In the formula, R is the arc radius at the contact point between the roller and the center screw, which is 31mm; R 1 is the radius of the thread raceway of the center screw, which is 24mm; d 1 is the radius from the contact point to the center screw, which is 24.2mm; d 2 is the radius from the contact point to the roller axis, which is 6.3mm;

可知,曲率和为:It can be seen that the curvature sum is:

∑ρ=ρ11122122 ∑ρ=ρ 11122122

主曲率函数为:The principal curvature function is:

Figure BDA0003741941820000151
Figure BDA0003741941820000151

(3)根据赫兹接触理论,得到接触面的弹性形变量为:(3) According to the Hertzian contact theory, the elastic deformation of the contact surface is obtained as:

Figure BDA0003741941820000152
Figure BDA0003741941820000152

式中,E1与E2为滚柱与丝杠弹性模量,均为210MPa;μ1与μ2为滚柱与丝杠泊松比,均为0.3;F0为轴向力;In the formula, E 1 and E 2 are the elastic modulus of the roller and the screw, both are 210MPa; μ 1 and μ 2 are the Poisson’s ratio of the roller and the screw, both are 0.3; F 0 is the axial force;

式中

Figure BDA0003741941820000153
可根据F(ρ)的值查表获得,为1.1;in the formula
Figure BDA0003741941820000153
It can be obtained by looking up the table according to the value of F(ρ), which is 1.1;

(4)将上述参数带入式(13)可得:(4) Bring the above parameters into formula (13) to get:

Figure BDA0003741941820000154
Figure BDA0003741941820000154

行星滚柱丝杠的轴向变形与赫兹接触变形之间存在式(15)所示关系There is a relationship between the axial deformation of the planetary roller screw and the Hertzian contact deformation as shown in equation (15)

Figure BDA0003741941820000155
Figure BDA0003741941820000155

由式(15)可知,支腿的弹性变形量与受力相关,因此需要对特种车辆进行受力分析;It can be seen from equation (15) that the elastic deformation of the outrigger is related to the force, so it is necessary to analyze the force of the special vehicle;

车架变形带来的影响是倾角传感器的测量误差,为消除此误差,结合车载设备实际使用时以横滚角作为调平主要依据,将倾角传感器安装在后侧横梁上,以大幅减小倾角测量误差。The influence of frame deformation is the measurement error of the inclination sensor. In order to eliminate this error, the roll angle is used as the main basis for leveling in combination with the actual use of on-board equipment, and the inclination sensor is installed on the rear beam to greatly reduce the inclination angle. Measurement error.

Step2012.调平支腿承载力理论计算Step2012. Theoretical calculation of bearing capacity of leveling outriggers

(1)以车架和负载整体作为受力对象进行分析,每个支腿与车架刚性连接;调平初始状态时,支腿对车架有一个轴向的支撑力和两个相互垂直的径向支撑力作用;俯仰状态的特种车辆和横滚状态的特种车辆受力如图10所示,设两前支腿对车架的轴向力和径向力分别为f1y、f1x、f1z;两后支腿对车架的轴向力和径向力分别为f2y、f2x、f2z;车身俯仰角α、车身横滚角β;(1) Take the frame and the whole load as the force object for analysis, and each outrigger is rigidly connected to the frame; when the initial state is leveled, the outrigger has an axial support force on the frame and two mutually perpendicular The radial support force acts; the force of the special vehicle in the pitching state and the special vehicle in the rolling state is shown in Figure 10, and the axial force and radial force of the two front outriggers on the frame are respectively f 1y , f 1x , f 1z ; the axial force and radial force of the two rear outriggers on the frame are respectively f 2y , f 2x , f 2z ; the body pitch angle α, the body roll angle β;

在图10中:两前支腿左右跨度h=3m,两后支腿跨度与之相同;同侧前后支腿跨度l=12m车架质量m1=28t,负载质量m2=35t;总质量m=63t;车架质心位于车体垂向的对称面内,距后腿中轴线水平距离l1=8.1m;负载质心位于车体垂向的对称面内,距后腿中轴线水平距离l2=6.2m;重力加速度g=9.8m/s2;特种车辆左右跨距相对较小,左右电动缸的力按同一种力考虑;In Figure 10: the left and right span of the two front outriggers is h=3m, and the span of the two rear outriggers is the same; the span of the front and rear outriggers on the same side is l=12m, the frame mass m1 = 28t, the load mass m2 =35t; the total mass m=63t; the center of mass of the frame is located in the vertical symmetry plane of the car body, and the horizontal distance l 1 =8.1m from the central axis of the rear legs; the center of mass of the load is located in the vertical symmetry plane of the car body, and the horizontal distance l from the central axis of the rear legs 2 = 6.2m; gravitational acceleration g = 9.8m/s 2 ; the left and right spans of special vehicles are relatively small, and the force of the left and right electric cylinders is considered as the same force;

(2)以车架平面为基准,追踪车身状态变化时车架重力与支腿轴向力间的平衡,可列出平衡方程;支腿轴向方向上的合力等于车架及负载重力在支腿轴向方向上的投影;当车体既有俯仰角又有横滚角时,受力平衡方程如下:(2) Taking the frame plane as the benchmark, tracking the balance between the frame gravity and the axial force of the outriggers when the state of the body changes, the balance equation can be listed; the resultant force in the axial direction of the outriggers is equal to the frame and the load gravity in the support The projection on the axial direction of the legs; when the vehicle body has both a pitch angle and a roll angle, the force balance equation is as follows:

f1y+f2y=mg cosαcosβ (29)f 1y +f 2y = mg cosαcosβ (29)

f1x+f2x=mg sinα (30)f 1x +f 2x = mg sinα (30)

f1z+f2z=mg sinβ (31)f 1z +f 2z = mg sinβ (31)

以两前支腿连线为旋转轴,进行力矩平衡分析,力矩平衡方程如下:Taking the connecting line of the two front legs as the rotation axis, the moment balance analysis is carried out. The moment balance equation is as follows:

[m1g(l-l1)+m2g(l-l2)]cosαcosβ=f2yl (32)[m 1 g(ll 1 )+m 2 g(ll 2 )]cosαcosβ=f 2y l (32)

以两后支腿连线为旋转轴,进行力矩平衡分析,力矩平衡方程如下:Taking the connecting line of the two rear outriggers as the rotation axis, the moment balance analysis is carried out. The moment balance equation is as follows:

[m1gl1+m2gl2]cosαcosβ=f1yl (33);[m 1 gl 1 +m 2 gl 2 ]cosαcosβ=f 1y l (33);

Step202.提出基于干扰补偿的调平控制策略,通过理论计算电动缸的形变量,作为调平控制器的初始输入误差,将型变量作为控制系统的前馈,反馈控制采用模糊PID控制方法,将两者融合到一起快速地进行调平;Step202. Propose a leveling control strategy based on disturbance compensation, calculate the deformation variable of the electric cylinder through theory, use it as the initial input error of the leveling controller, use the shape variable as the feedforward of the control system, and use the fuzzy PID control method for feedback control. The two are fused together to quickly level;

Step2021.基于干扰补偿的自适应模糊PID控制其算法结构如图11所示,先根据式(26)计算初始误差作为前馈补偿,反馈控制采用传统自适应模糊PID控制,模糊控制器的输入误差e根据前馈的干扰补偿值得出,再计算出误差变化率ecStep2021. The algorithm structure of adaptive fuzzy PID control based on interference compensation is shown in Figure 11. First, according to formula (26), the initial error is calculated as feedforward compensation, and the feedback control adopts traditional adaptive fuzzy PID control. The input error of the fuzzy controller e is obtained according to the interference compensation value of the feedforward, and then the error rate of change e c is calculated;

Step2022.模糊控制器在运行中通过不断更新e和ec来调整ΔKp、ΔKI和ΔKD的值,实现PID参数的在线自整定,满足不同e和ec对控制参数的不同要求,以达到控制目的;Step2022. The fuzzy controller adjusts the values of ΔK p , ΔK I and ΔK D by continuously updating e and ec during operation, so as to realize the online self-tuning of PID parameters, and meet the different requirements of different e and ec for control parameters, so as to achieve control purposes;

其中,模糊控制器的输入、输出语言变量e、ec、ΔKp、ΔKI、ΔKD的模糊论域均为[-6,6],模糊子集为[NB,NM,NS,ZO,PS,PM,PB],考虑到对论域的覆盖程度和灵敏度、稳定性与鲁棒性原则,各模糊子集采用高斯形隶属度函数;Among them, the fuzzy universes of the input and output linguistic variables e, e c , ΔK p , ΔK I , and ΔK D of the fuzzy controller are all [-6, 6], and the fuzzy subsets are [NB, NM, NS, ZO, PS, PM, PB], considering the coverage and sensitivity, stability and robustness of the universe, each fuzzy subset adopts a Gaussian membership function;

ΔKp的控制规则见表2,ΔKI的控制规则见表3,ΔKD的控制规则见表4;The control rules of ΔK p are shown in Table 2, the control rules of ΔK I are shown in Table 3, and the control rules of ΔK D are shown in Table 4;

表2:ΔKp控制规则表Table 2: ΔK p control rule table

Figure BDA0003741941820000161
Figure BDA0003741941820000161

表3:ΔKI控制规则表Table 3: ΔK I Control Rule Table

Figure BDA0003741941820000171
Figure BDA0003741941820000171

表4:ΔKD控制规则表Table 4: ΔK D control rule table

Figure BDA0003741941820000172
Figure BDA0003741941820000172

Step203.进行调平系统建模与控制分析Step203. Carry out leveling system modeling and control analysis

Step2031.调平系统仿真模型构建Step2031. Construction of simulation model of leveling system

(1)在AMESim中对电动缸进行等效建模,电动缸主要的传动结构为行星滚柱丝杠,可以将旋转运动转化成直线运动,其工作原理与螺纹螺母结构相似,建模时将其简化成螺纹螺母结构,根据其三维结构设置其参数可以消除其差异,这种简化对仿真精度不产生影响;调平支腿如图12所示;(1) Equivalent modeling of the electric cylinder in AMESim. The main transmission structure of the electric cylinder is a planetary roller screw, which can convert rotary motion into linear motion. Its working principle is similar to the threaded nut structure. It is simplified into a threaded nut structure, and the difference can be eliminated by setting its parameters according to its three-dimensional structure. This simplification has no effect on the simulation accuracy; the leveling legs are shown in Figure 12;

(2)由于特种车辆采用四支点调平,所以建立四个调平支腿的机械模型,由于特种车辆在实际作业时将采集到的倾角信号计算出支腿相应位移进行控制,所以特种车辆仿真模型的控制信号直接采用支腿位移信号,在AMESim中创建与MATLAB/Simulink联合仿真图标,联合仿真模块如图13所示;(2) Since the special vehicle uses four fulcrums for leveling, a mechanical model of four leveling legs is established. Since the special vehicle calculates the corresponding displacement of the legs from the collected inclination signal during actual operation, the special vehicle simulation The control signal of the model directly adopts the outrigger displacement signal, and the co-simulation icon with MATLAB/Simulink is created in AMESim. The co-simulation module is shown in Figure 13;

(3)结合调平支腿结构与控制系统,调平系统整体模型如图14所示,计算的行星滚柱丝杠理论受力信号2通过函数3计算输出补偿值,在调平支腿触地时与期望位移信号5结合,并与实际位移信号4进行比较后作为控制器的输入,处理得到驱动电机输入信号,从而控制支腿速度与位移;(3) Combined with the leveling leg structure and control system, the overall model of the leveling system is shown in Figure 14. The calculated theoretical force signal 2 of the planetary roller screw is used to calculate the output compensation value through function 3. When the leveling leg touches The ground time is combined with the expected displacement signal 5 and compared with the actual displacement signal 4 as the input of the controller, and the input signal of the drive motor is obtained by processing, thereby controlling the speed and displacement of the outrigger;

Step2032.参照图12与表2-4在Simulink中搭建系统框图,采用试凑法确定PID控制器初始参数,ΔKp、ΔKI和ΔKD初始值分别为1500、30、5,根据各参数的模糊论域,可得误差和误差变化率的比例因子为150与0.2,ΔKp、ΔKI和ΔKD的量化因子为300、5、1;搭建自适应模糊PID控制器仿真模型如图15所示;Step2032. Refer to Figure 12 and Table 2-4 to build a system block diagram in Simulink, and use the trial and error method to determine the initial parameters of the PID controller. The initial values of ΔK p , ΔK I and ΔK D are 1500, 30, and 5, respectively. In the fuzzy universe, the scale factors of the error and the error rate of change are 150 and 0.2, and the quantization factors of ΔK p , ΔK I and ΔK D are 300, 5, and 1; the simulation model of the adaptive fuzzy PID controller is built as shown in Figure 15 Show;

在MATLAB/Simulink环境下的联合仿真模型如图16所示;The co-simulation model in the MATLAB/Simulink environment is shown in Figure 16;

Step2033.根据上述调平方法,结合图4中的调平流程,将仿真中调平流程简化为以下三个阶段:第一阶段为电动缸空载高速触地阶段;第二阶段为各调平支腿触地检测;第三阶段为低速升车调平;Step2033. According to the above-mentioned leveling method, combined with the leveling process in Fig. 4, the leveling process in the simulation is simplified into the following three stages: the first stage is the no-load high-speed ground contact stage of the electric cylinder; the second stage is each leveling process The outrigger touches the ground detection; the third stage is the low-speed lift and leveling;

在调平机构进行第三阶段低速升车调平时,为确保特种车辆离开地面,调平支腿触地后还需要再上升5mm;When the leveling mechanism is in the third stage of low-speed lift and leveling, in order to ensure that the special vehicle leaves the ground, the leveling outrigger needs to be raised by another 5mm after it touches the ground;

对以下两种工况进行分析:第一种为大倾角工况下调平,即俯仰角为1.9°、横滚角为2.94°的工况;第二种为小倾角工况下调平,即俯仰角为0.28°,横滚角为0.06°的工况;The following two working conditions are analyzed: the first is leveling under the condition of large inclination angle, that is, the working condition with the pitch angle of 1.9° and the roll angle of 2.94°; the second is the leveling under the condition of small inclination angle, that is, the pitch angle The working condition where the angle is 0.28° and the roll angle is 0.06°;

大倾角工况下设定在第三阶段左侧后支腿为最高点,位移为e2=5mm,右侧前支腿位移e4=245mm,右侧后支腿位移为e3=159mm,左侧前支腿位移为e1=90mm;Under the condition of large inclination angle, the left rear outrigger is set as the highest point in the third stage, the displacement is e 2 =5mm, the displacement of the right front outrigger is e 4 =245mm, the displacement of the right rear outrigger is e 3 =159mm, The displacement of the left front outrigger is e 1 =90mm;

在调平进入第二阶段时输入力的补偿信号,通过式(3.6)-(3.10)进行计算,按照两腿受力平均计算,前支腿输入力为180712N,后支腿输入力为127155N。When the leveling enters the second stage, the compensation signal of the input force is calculated by formulas (3.6)-(3.10). According to the average force of the two legs, the input force of the front outrigger is 180712N, and the input force of the rear outrigger is 127155N.

设置仿真时间为10s,在MATLAB/Simulink环境下运行仿真,在AMESim中观察各支腿位移,如图17(a)所示。Set the simulation time to 10s, run the simulation in the MATLAB/Simulink environment, and observe the displacement of each leg in AMESim, as shown in Figure 17(a).

设定调平俯仰角为0.28°,横滚角为0.06°,在第三阶段左侧后支腿为最高点,位移为e2=5mm,右侧前支腿位移e4=66mm,右侧后支腿位移为e3=7mm,左侧前支腿位移为e1=64mm。Set the leveling pitch angle to 0.28° and the roll angle to 0.06°. In the third stage, the left rear outrigger is the highest point, the displacement is e 2 =5mm, the displacement of the right front outrigger is e 4 =66mm, and the right The displacement of the rear outrigger is e 3 =7mm, and the displacement of the left front outrigger is e 1 =64mm.

在信号模块中输入各支腿位移信号,为与实际实验尽量贴合,0-0.81s为调平系统运行检测用时,各支腿位移为0,9.28-10s阶段各支腿保持不动,第一阶段至第三阶段各支腿位移如下。Input the displacement signal of each outrigger in the signal module, in order to fit the actual experiment as much as possible, 0-0.81s is for the detection of the leveling system operation, the displacement of each outrigger is 0, and each outrigger remains motionless in the stage of 9.28-10s, and the first The displacements of the legs from the first stage to the third stage are as follows.

在调平进入第二阶段时输入力的补偿信号,根据设定值与式(29)-(33)进行计算,前支腿输入力为181216N,后支腿输入力为127480N;When the leveling enters the second stage, the compensation signal of the input force is calculated according to the set value and equations (29)-(33). The input force of the front outrigger is 181216N, and the input force of the rear outrigger is 127480N;

设置仿真时间为6s,在MATLAB/Simulink环境下运行仿真,在AMESim中观察各支腿位移,如图(17)b所示;Set the simulation time to 6s, run the simulation in the MATLAB/Simulink environment, and observe the displacement of each leg in AMESim, as shown in Figure (17)b;

可以看出,每个阶段调平支腿伸出到位后会产生较大误差但会在较短时间内稳定,并可以按照预定信号快速伸出到位,从仿真结果可以得出采用基于干扰补偿的自适应模糊PID控制方式可以对特种车辆进行快速调平,并且调平误差较小;It can be seen that the leveling outriggers in each stage will produce large errors after they are extended in place, but they will be stable in a short period of time, and can be quickly extended in place according to the predetermined signal. From the simulation results, it can be concluded that the interference compensation-based The adaptive fuzzy PID control method can quickly level the special vehicle, and the leveling error is small;

Step204.进行电驱动调平系统的实验验证Step204. Carry out the experimental verification of the electric drive leveling system

Step2041.搭建调平系统Step2041. Build a leveling system

构建调平支腿,连接后如图18所示;Build leveling legs, as shown in Figure 18 after connection;

(1)快速调平系统主要由调平控制单元、调平驱动单元和调平执行单元组成,其中,调平控制单元采用工控机+运动控制板卡方式对伺服电机进行控制,包括调平控制电气回路、调平控制器(IPC)、调平控制面板(触摸屏)、两轴倾角传感器、各支腿上下限位开关;调平驱动单元包括各支腿主电机伺服驱动器、辅电机伺服驱动器和制动器;调平执行单元为各支腿电动缸(含调速减速器),系统组成框图如图19所示:(1) The quick leveling system is mainly composed of a leveling control unit, a leveling drive unit and a leveling execution unit. The leveling control unit uses an industrial computer + motion control board to control the servo motor, including the leveling control unit. Electrical circuit, leveling controller (IPC), leveling control panel (touch screen), two-axis inclination sensor, upper and lower limit switches of each outrigger; leveling drive unit includes main motor servo driver, auxiliary motor servo driver and Brake; the leveling execution unit is the electric cylinder of each outrigger (including the speed control reducer), and the system block diagram is shown in Figure 19:

(2)调平控制的系统原理图如图20所示;控制器根据接收到的远程控制指令或本机面板操作指令通过总线发送数据给四个调平电动缸的伺服电机驱动器(含主电机伺服驱动器和辅电机伺服驱动器);伺服电机驱动器与伺服电机之间通信,对伺服电机发送旋转速度、旋转角度、旋转加速度等指令和调制驱动电流;电机尾部安装有多圈绝对值编码器作为位置反馈装置,多圈绝对值编码器直接测量电机旋转圈数,伺服电机通过行星减速器及齿轮副减速,同时将扭矩放大,带动滚珠丝杠旋转;滚珠丝杠副螺母与推杆在导向键的约束下做往复直线运动实现电动缸的伸缩运动;当四只电动缸均接触地面后,调平控制器根据倾角传感器检测的车辆倾斜数据,实时计算各缸需要伸出的长度与速度,分别给各缸发送不同的速度与位置指令,实现车体的调平控制;调平到位后再对车体进行一次调平精度检测和支腿补压,完成快速展车与调平工作;(2) The schematic diagram of the leveling control system is shown in Figure 20; the controller sends data to the servo motor drivers (including the main motor) of the four leveling electric cylinders through the bus according to the received remote control instructions or local panel operation instructions Servo driver and auxiliary motor servo driver); communication between the servo motor driver and the servo motor, sending commands such as rotation speed, rotation angle, rotation acceleration and modulating the drive current to the servo motor; a multi-turn absolute encoder is installed at the tail of the motor as the position Feedback device, multi-turn absolute encoder directly measures the number of rotations of the motor, the servo motor is decelerated through the planetary reducer and gear pair, and at the same time amplifies the torque to drive the ball screw to rotate; the ball screw pair nut and the push rod are in the guide key. Reciprocating linear motion is performed under the constraint to realize the telescopic motion of the electric cylinder; when the four electric cylinders all touch the ground, the leveling controller calculates the length and speed of each cylinder to extend in real time according to the vehicle inclination data detected by the inclination sensor, and gives them respectively. Each cylinder sends different speed and position commands to realize the leveling control of the car body; after the car body is leveled in place, the car body is checked for the leveling accuracy and the outrigger pressure is compensated to complete the rapid car show and leveling work;

本系统采用四点调平方案,调平系统由检测装置、执行机构和控制系统组成;其中,检测装置为双轴倾角传感器,用来检测车体的俯仰角和偏航角;其检测值的大小是系统判断车体是否水平的标志,传感器在全温段的精度直接决定了调平系统的调平精度;执行机构由四套电动支腿组成,支腿由滚珠丝杠副、减速器、伺服电机及其驱动系统组成;控制系统由工控机+运动控制板卡组成,控制器接收倾角传感器测出的车体倾角,算出各支腿升降的距离后,运动控制板卡进行插补运算,并通过EtherCAT总线将控制指令发往各支腿电机的驱动器,驱动器再驱动伺服电机带动支腿完成指定的升降动作;The system adopts a four-point leveling scheme, and the leveling system consists of a detection device, an actuator and a control system; among them, the detection device is a dual-axis inclination sensor, which is used to detect the pitch angle and yaw angle of the vehicle body; The size is a sign that the system judges whether the car body is level. The accuracy of the sensor in the full temperature section directly determines the leveling accuracy of the leveling system; the actuator is composed of four sets of electric outriggers, and the outriggers are composed of ball screw pair, reducer, Servo motor and its drive system are composed; the control system is composed of industrial computer + motion control board, the controller receives the body inclination measured by the inclination sensor, and after calculating the lifting distance of each outrigger, the motion control board performs interpolation calculation, And through the EtherCAT bus, the control command is sent to the driver of each outrigger motor, and the driver then drives the servo motor to drive the outrigger to complete the specified lifting action;

Step2042.大/小倾角工况调平控制验证Step2042. Leveling control verification under large/small inclination conditions

在大倾角工况下进行实验,该工况对应的起始俯仰角1.9°,横滚角2.94°,对实验数据进行处理,得出实验过程中倾角与位移的变化曲线,如图21(a)、图21(b)所示,在小倾角工况下进行实验,该工况对应的起始俯仰角0.28°,横滚角0.07°,对实验数据进行处理,得出实验过程中倾角与位移的变化曲线,如图21(c)、图21(d)所示;The experiment is carried out under the condition of large inclination angle. The initial pitch angle corresponding to this condition is 1.9° and the roll angle is 2.94°. The experimental data is processed to obtain the change curve of inclination angle and displacement during the experiment, as shown in Figure 21(a ), as shown in Figure 21(b), the experiment was carried out under the condition of small inclination angle. The corresponding initial pitch angle of this condition was 0.28°, and the roll angle was 0.07°. After processing the experimental data, it was obtained that the inclination angle and the The change curve of displacement is shown in Figure 21(c) and Figure 21(d);

Step2043.对比分析Step2043. Comparative analysis

将两种工况下的实验数据与仿真数据进行对比,如图22所示,从图21可知,传统模糊PID控制特种车辆在5.98s完成调平,俯仰角调平精度为0.05°,横滚角调平精度为0.02°;The experimental data under the two working conditions are compared with the simulation data, as shown in Figure 22. It can be seen from Figure 21 that the traditional fuzzy PID control special vehicle is leveled in 5.98s, the pitch angle leveling accuracy is 0.05°, and the roll is 0.05°. The angular leveling accuracy is 0.02°;

从图23(a)可知,在0-4.5s时,调平支腿空载快速伸出阶段误差相对较大,最大偏差在14.98mm;在4.5s-9.28s,调平支腿触地调平阶段误差较小,最大误差为1.3mm,各支腿平均误差均不超过0.5mm;From Figure 23(a), it can be seen from 0-4.5s that the error in the no-load rapid extension stage of the leveling outrigger is relatively large, and the maximum deviation is 14.98mm; in 4.5s-9.28s, the leveling outrigger touches the ground to adjust The error in the flat stage is small, the maximum error is 1.3mm, and the average error of each leg does not exceed 0.5mm;

从图23(b)可知,在0-2.2s时,调平支腿空载快速伸出阶段误差相对较大,调平支腿位移误差最大为20mm,在3.6s-5.42s,调平支腿触地调平阶段误差较小,误差最大为1mm,各支腿平均误差不超过0.5mm;It can be seen from Figure 23(b) that at 0-2.2s, the error in the no-load rapid extension stage of the leveling outrigger is relatively large, and the maximum displacement error of the leveling outrigger is 20mm. The error in the leveling stage of the leg touching the ground is small, the maximum error is 1mm, and the average error of each leg does not exceed 0.5mm;

通过以上仿真过程可以看出:本实施例所述基于干扰补偿的特种车辆协同调平方法完成了特种车辆的快速调平实验,实验结果显示在大倾角大负载情况下特种车辆可以在9.28s完成调平,俯仰角调平精度达到0.05°,横滚角调平精度达到0.001°;小倾角状态下特种车辆在5.42s完成调平,俯仰角调平精度为0.04°,横滚角调平精度为0.002°;在小倾角状态下对比两种控制方式,基于干扰补偿的模糊PID控制比传统模糊PID控制调平时间减少9.3%,俯仰角调平精度提高20%,横滚角调平精度提高90%。实验表明了基于干扰补偿的控制方法调平精度较高,验证了特种车辆快速调平方法的可行性。It can be seen from the above simulation process that the coordinated leveling method for special vehicles based on interference compensation described in this embodiment has completed the rapid leveling experiment of special vehicles. Leveling, the pitch angle leveling accuracy reaches 0.05°, and the roll angle leveling accuracy reaches 0.001°; the special vehicle is leveled in 5.42s in the state of small inclination angle, the pitch angle leveling accuracy is 0.04°, and the roll angle leveling accuracy is 0.04°. Compared with the traditional fuzzy PID control, the fuzzy PID control based on interference compensation reduces the leveling time by 9.3%, the pitch angle leveling accuracy is increased by 20%, and the roll angle leveling accuracy is improved 90%. Experiments show that the control method based on disturbance compensation has high leveling accuracy, which verifies the feasibility of the rapid leveling method for special vehicles.

实施例4:步骤Step3所述的基于高压蓄能的特种车辆协同起竖方法的设计过程包括Embodiment 4: The design process of the high-voltage energy storage-based coordinated erection method for special vehicles described in Step 3 includes:

Step301.建立快速起竖系统数学模型Step301. Establish mathematical model of rapid erection system

Step3011.建立高压蓄能器数学模型Step3011. Establish mathematical model of high pressure accumulator

(1)为确定高压蓄能器输出的液压油压力,首先分析蓄能器中气腔压力变化,气体的变化过程为绝热过程,气腔的热力学方程为:(1) In order to determine the hydraulic oil pressure output by the high-pressure accumulator, first analyze the pressure change of the air cavity in the accumulator, the change process of the gas is an adiabatic process, and the thermodynamic equation of the air cavity is:

pgVg=mgRTg (34)p g V g = mg RT g (34)

式中,pg为气腔压力;Vg为气腔体积;mg为气腔内气体质量;R为气体常数;Tg为气腔内气体温度;In the formula, p g is the air cavity pressure; V g is the air cavity volume; m g is the gas mass in the air cavity; R is the gas constant; T g is the gas temperature in the air cavity;

(2)可得出,气体压力变化方程为:(2) It can be concluded that the gas pressure change equation is:

Figure BDA0003741941820000201
Figure BDA0003741941820000201

再分析蓄能器液腔受力,可得液腔受力方程为:Then analyze the force of the accumulator liquid cavity, the force equation of the liquid cavity can be obtained as:

Figure BDA0003741941820000202
Figure BDA0003741941820000202

式中,po为蓄能器液腔压力;Ap为蓄能器活塞面积;Vo为液腔体积;mo为液腔流体质量和活塞质量;Co为油液黏性阻尼系数;In the formula, p o is the accumulator fluid chamber pressure; A p is the accumulator piston area; V o is the fluid chamber volume; m o is the fluid chamber fluid mass and piston mass; C o is the oil viscous damping coefficient;

(3)最后分析高压蓄能器出口流量,蓄能器中液压油压力方程为:(3) Finally, the outlet flow of the high-pressure accumulator is analyzed, and the hydraulic oil pressure equation in the accumulator is:

Figure BDA0003741941820000203
Figure BDA0003741941820000203

式中,E是油液弹性模量;q为蓄能器输出油液流量;In the formula, E is the elastic modulus of the oil; q is the output oil flow of the accumulator;

式(37)中蓄能器输出油液流量方程为:In formula (37), the output oil flow equation of the accumulator is:

Figure BDA0003741941820000204
Figure BDA0003741941820000204

Figure BDA0003741941820000205
Figure BDA0003741941820000205

式中,Cq为流量系数;Cqmax为最大流量系数;Ao为液体节流阀阀口面积;ph为液压缸内压力;ρo为油液密度;Re为雷诺数;

Figure BDA0003741941820000206
为临界雷诺数;In the formula, C q is the flow coefficient; C qmax is the maximum flow coefficient; A o is the valve port area of the liquid throttle valve; ph is the pressure in the hydraulic cylinder; ρ o is the oil density; Re is the Reynolds number;
Figure BDA0003741941820000206
is the critical Reynolds number;

Step3012.在高压蓄能器的基础上,建立三级液压缸数学模型Step3012. On the basis of the high-pressure accumulator, establish the mathematical model of the three-stage hydraulic cylinder

以三级液压缸为研究对象,外缸筒为第一级液压缸,中缸筒为第二级液压缸,活塞、活塞杆、内缸筒构成第三级液压缸,三级液压缸从正腔进油,压力升高到,第一级缸克服外力开始运动,当运动到行程末端时,第一级缸与第二级缸发生碰撞,带动第二级缸开始运动,同理第二级缸到位后带动第三级缸运动,由于缸筒面积依次减小,所以依次伸出的液压缸在换级时有压力突变,会产生冲击;Taking the three-stage hydraulic cylinder as the research object, the outer cylinder is the first-stage hydraulic cylinder, the middle cylinder is the second-stage hydraulic cylinder, and the piston, piston rod, and inner cylinder constitute the third-stage hydraulic cylinder. The cavity is filled with oil, the pressure rises, the first-stage cylinder overcomes the external force and starts to move. When the movement reaches the end of the stroke, the first-stage cylinder collides with the second-stage cylinder, which drives the second-stage cylinder to start moving. Similarly, the second-stage cylinder starts to move. After the cylinder is in place, the third-stage cylinder is driven to move. Since the area of the cylinder barrel decreases in turn, the pressure of the hydraulic cylinders extended in sequence will have a sudden change during the stage change, which will cause shock;

(1)将液压缸的正、反腔分别当作一个节点容腔,通过节点容腔法建立两腔压力方程,可计算出各级缸的输出力,得出三级缸的数学模型如(1) The positive and negative cavities of the hydraulic cylinder are regarded as a node cavity respectively, and the pressure equation of the two cavities is established by the node cavity method, and the output force of the cylinders at all levels can be calculated, and the mathematical model of the three-stage cylinder can be obtained as follows:

Figure BDA0003741941820000211
Figure BDA0003741941820000211

式中,E为油液的有效体积弹性模量;Vf和Vb分别为多级缸正、反腔的初始容积;Qf和Qb分别为流入或流出正、反腔的流量;Af3、Af2、Af1分别为3、2、1级筒正腔作用面积;Ab3、Ab2、Ab1分别为3、2、1级筒反腔作用面积;l3max、l2max、l1max分别为3、2、1级筒的最大位移;pf、pb分别为油缸正、反腔的压力;x32、v32分别为3级筒相对于2级筒的轴向位移、速度;x21、v21分别为2级筒相对于1级筒的轴向位移、速度;x1p、v1p分别为1级筒相对于活塞杆的轴向位移、速度;F3、F2、F1分别为3、2、1级筒输出作用力;Ff3、Ff2、Ff1分别为3、2、1级筒运行过程的摩擦力;Fp3、Fp2、Fp1分别为3、2、1级筒、活塞杆间的碰撞力;In the formula, E is the effective bulk elastic modulus of the oil; V f and V b are the initial volumes of the forward and reverse chambers of the multi-stage cylinder, respectively; Q f and Q b are the flow rates flowing into or out of the forward and reverse chambers, respectively; A f3 , A f2 , and A f1 are the action areas of the 3rd , 2nd , and 1st-stage cylinder positive cavity respectively; Ab3 , Ab2 , and Ab1 are the 3rd, 2nd, and 1st stage counter-cavity action areas respectively; l 3max , l 2max , l 1max is the maximum displacement of the 3rd, 2nd and 1st stage cylinders respectively; p f and pb are the pressures of the forward and reverse chambers of the oil cylinder respectively; x 32 and v 32 are the axial displacement and velocity of the 3rd stage cylinder relative to the 2nd stage cylinder respectively ; x 21 , v 21 are the axial displacement and velocity of the 2-stage cylinder relative to the 1-stage cylinder respectively; x 1p , v 1p are the axial displacement and velocity of the 1-stage cylinder relative to the piston rod; F 3 , F 2 , F 1 is the output force of the 3rd, 2nd and 1st stage cylinders respectively; F f3 , F f2 , F f1 are the frictional forces of the 3rd, 2nd and 1st stage cylinders during the operation respectively; F p3 , F p2 , F p1 are 3, 2. The collision force between the first-stage cylinder and the piston rod;

(2)式(40)中缸筒运行中的摩擦力模型采用改进的LuGre模型,数学模型如(2) In equation (40), the friction model in the operation of the cylinder barrel adopts the improved LuGre model, and the mathematical model is as follows

Figure BDA0003741941820000212
Figure BDA0003741941820000212

式中,z为鬃毛的平均弹性形变;v为接触面的相对速度;σz为刚度系数;τz为阻尼系数;ηz为粘滞系数;vs为Stribeck速度常数;Fc为库伦摩擦力;Fs为静摩擦力;h为油膜厚度;where z is the average elastic deformation of the bristles; v is the relative velocity of the contact surface; σ z is the stiffness coefficient; τ z is the damping coefficient; η z is the viscosity coefficient; v s is the Stribeck velocity constant; F c is the Coulomb Friction force; F s is static friction force; h is oil film thickness;

(3)式(40)中液压缸级间碰撞模型基于赫兹接触力模型,其数学模型如(3) The hydraulic cylinder inter-stage collision model in Eq. (40) is based on the Hertzian contact force model, and its mathematical model is as follows

Figure BDA0003741941820000213
Figure BDA0003741941820000213

式中,Kp和Kn为等效弹簧刚度;μ为迟滞因子;δ为接触点法向穿透深度;vR和vc为两个缸筒的速度;x为缸筒间相对位移;gp为缸筒位移上界;gn为缸筒位移下界;where K p and K n are the equivalent spring stiffness; μ is the hysteresis factor; δ is the normal penetration depth of the contact point; v R and vc are the speeds of the two cylinders; x is the relative displacement between the cylinders; g p is the upper bound of cylinder displacement; g n is the lower bound of cylinder displacement;

Step3013.缓冲装置模型与原理Step3013. Buffer device model and principle

为减小液压缸换级冲击,需在每一级缸的行程终点设计缓冲装置,其结构如图24所示,采用在第一级缸和第二级缸中设计合理的节流孔,连接有杆腔和无杆腔,不断改变节流的面积,使其在起竖过程中,当第一级缸即将伸出到行程末端时,第二级缸就开始动作,使液压缸级间过渡由点过渡转化为区间过渡,来达到消除换级冲击的目的。In order to reduce the impact of hydraulic cylinder change, it is necessary to design a buffer device at the end of the stroke of each stage of the cylinder. With rod cavity and rodless cavity, the throttling area is constantly changed, so that during the erection process, when the first-stage cylinder is about to extend to the end of the stroke, the second-stage cylinder starts to act, making the hydraulic cylinder transition between stages The point transition is transformed into an interval transition to achieve the purpose of eliminating the transition shock.

通过缓冲小孔的流量qs数学模型如式43所示:The mathematical model of the flow q s through the buffer orifice is shown in Equation 43:

Figure BDA0003741941820000221
Figure BDA0003741941820000221

式中,As小孔的过流面积,Δp为小孔前后压差;In the formula, As is the flow area of the small hole, and Δp is the pressure difference before and after the small hole;

为减小液压缸起竖到位时的冲击,三级缸设计成有内外导向套控制运动方向,并通过设计一定的锥度利用多段缓冲减小起竖到位的冲击。In order to reduce the impact of the hydraulic cylinder when it is erected in place, the three-stage cylinder is designed with inner and outer guide sleeves to control the direction of movement, and by designing a certain taper, multi-stage buffers are used to reduce the impact of the erection in place.

Step302.实验验证Step302. Experimental verification

Step3021.构建起竖系统实验样机Step3021. Build the experimental prototype of the erection system

为实现大载荷快速起竖技术要求与安全性需求,实验样机快速起竖系统采用液压泵控+高压蓄能装置双动力源的技术方案,可实现泵控油源与储能装置油源系统双系统控制起竖;In order to meet the technical requirements and safety requirements for rapid erection of large loads, the rapid erection system of the experimental prototype adopts the technical scheme of hydraulic pump control + high-pressure energy storage device dual power sources, which can realize dual systems of pump control oil source and energy storage device oil source system control erection;

(1)首先对蓄能器结构进行建模,高压储能装置采用活塞式结构形式,避免了皮囊式蓄能器在长时间保压时存在的分子间泄漏问题,一次预充气,可保证10年以上的气腔零泄漏;为满足快速起竖的载荷和速度工况需求,设计外形φ406×4213,重量1330kg;低温NBR密封,温度范围:-50℃~+110℃,动密封速度v=2m/s;(1) Firstly, the structure of the accumulator is modeled. The high-pressure energy storage device adopts the piston type structure, which avoids the problem of intermolecular leakage in the long-term pressure holding of the bladder-type accumulator. One pre-charge can guarantee 10 The air cavity has zero leakage for more than one year; in order to meet the requirements of fast erection load and speed conditions, the design shape is φ406×4213, and the weight is 1330kg; low temperature NBR seal, temperature range: -50℃~+110℃, dynamic sealing speed v= 2m/s;

(2)接下来对起竖液压缸进行建模,起竖油缸为三级缸,采用双作用形式,其外形如图25所示,第一级和第二级采用差动连接方式,通过自重可实现回缩,第三级设计有回油腔,以适应起竖末端的拉载荷工况;(2) Next, model the vertical hydraulic cylinder. The vertical hydraulic cylinder is a three-stage cylinder and adopts a double-acting form. Its shape is shown in Figure 25. The first stage and the second stage adopt a differential connection method. It can be retracted, and the third stage is designed with an oil return cavity to adapt to the pulling load conditions of the erection end;

油缸起始段和末段均设计有端面贴合式新型缓冲阻尼装置,通过阻尼匹配,实现起竖、回平到位缓冲和起竖角度的精确控制;此外,在油缸的一级缸筒和二级缸筒中设计阻尼孔;在伸出过程中,当一级缸伸出一定长度但还未到达行程末端时,二级缸即开始动作,使得油缸级间转换时的点过渡变成区间过渡,有效消除一级/二级油缸级间转换时的冲击;同理,二级缸和三级缸间也可采用同样的技术,消除级间转换时的冲击;端面贴合式新型缓冲其原理如图26所示;油缸密封采用斯特封+泛塞密封相结合的方式,实现液压油零泄漏和油缸寿命周期免维护;Both the initial and final sections of the cylinder are designed with a new type of end-faced buffer damping device. Through damping matching, the buffering of erection and levelling in place and the precise control of the erection angle are realized; The damping hole is designed in the cylinder barrel of the first stage; during the extension process, when the first cylinder extends for a certain length but has not reached the end of the stroke, the second cylinder starts to act, so that the point transition during the transition between the cylinder stages becomes an interval transition, Effectively eliminate the impact during the transition between the primary/secondary cylinders; for the same reason, the same technology can also be used between the secondary and tertiary cylinders to eliminate the impact during the transition between stages; As shown in Figure 26; the oil cylinder seal adopts the combination of step seal and pan plug seal to achieve zero leakage of hydraulic oil and maintenance-free life cycle of the oil cylinder;

(3)最后是起竖液压系统搭建,按照仿真模型的液压原理进行搭建,包括变量泵油源装置、高压储能装置、阀控系统、三级液压缸等,起竖装置的动力采用90kW电机驱动,考虑到有调直精度要求,油泵采用排量为180的电比例柱塞泵,可实现起竖装置正常展收的速度控制;液压阀选用零泄漏带手动越权功能的插装阀,保压效果好,通流能力强;插装阀组实物图如图27所示;(3) Finally, the erection hydraulic system is built according to the hydraulic principle of the simulation model, including variable pump oil source device, high-pressure energy storage device, valve control system, three-stage hydraulic cylinder, etc. The power of the erection device adopts 90kW motor Drive, considering the requirement of straightening accuracy, the oil pump adopts an electric proportional plunger pump with a displacement of 180, which can realize the speed control of the normal extension and retraction of the erection device; the hydraulic valve adopts a zero-leakage cartridge valve with manual override function to ensure The pressure effect is good and the flow capacity is strong; the physical diagram of the cartridge valve group is shown in Figure 27;

起竖控制系统由控制器、监控记录仪、操控按钮、压力传感器、起竖杆倾角传感器及到位接近开关组成;起竖控制原理如图28所示;The erection control system consists of a controller, a monitoring recorder, a control button, a pressure sensor, an erection pole inclination sensor and a proximity switch; the erection control principle is shown in Figure 28;

为避免误操作,研制过程中,在操控面板设置有启动按钮,只有在按下操控面板上的启动按钮指示灯亮起后,才能执行起竖装置的起竖和回平动作;在操控面板设置起竖及回平动作按钮,布置监控记录仪、急停开关及指示灯;控制面板如图29所示;监控记录仪实时监控起竖角度、到位信号、液压系统压力值、控制器各IO运行状态及系统故障码;控制器通过CAN总线控制油泵电机,实现油泵电机调速及启停控制;In order to avoid misoperation, during the development process, a start button is set on the control panel. Only after pressing the start button on the control panel and the indicator light is on, the erection and leveling actions of the erection device can be performed; The vertical and leveling action buttons are arranged with monitoring recorder, emergency stop switch and indicator light; the control panel is shown in Figure 29; the monitoring recorder monitors the vertical angle, in-position signal, hydraulic system pressure value, and the operation status of each IO of the controller in real time. And the system fault code; the controller controls the oil pump motor through the CAN bus to realize the speed regulation and start-stop control of the oil pump motor;

起竖指令分正常起竖、快速起竖两类,快速起竖优先级最高,正常起竖优先级最低;当按下这两个任意起竖按钮后,控制器控制对应电磁阀执行相应动作;起竖装置安装有倾角传感器,在起竖到位位置设置两个接近开关;起竖时,综合起竖装置倾角传感器及底盘调平装置的倾角传感器采集值得到起竖装置相对于水平地面的倾斜角度,在综合起竖装置相对于地面的倾斜角度及起竖到位接近开关值判断起竖到位,关闭起竖电磁阀,起竖动作停止;The erection command is divided into two categories: normal erection and quick erection. The priority of quick erection is the highest, and the priority of normal erection is the lowest; when any of these two erection buttons are pressed, the controller controls the corresponding solenoid valve to perform corresponding actions; The erecting device is equipped with an inclination sensor, and two proximity switches are set at the position of erecting in place; when erecting, the inclination angle of the erecting device relative to the horizontal ground is obtained by integrating the values collected by the erecting device inclination sensor and the inclination sensor of the chassis leveling device , in the inclination angle of the integrated erection device relative to the ground and the proximity switch value of the erection position to judge the erection position, close the erection solenoid valve, and the erection action stops;

当按下任意回平动作时,控制器控制回平动作电磁阀,执行回平动作,其中,应急回平优先级高于正常回平动作;在回平到位位置设置两个到位接近开关;综合起竖缸相对于地面的倾斜角度及到位接近开关信号判断回平是否到位;特种车辆的实验样机如图30所示;When any leveling action is pressed, the controller controls the leveling action solenoid valve to execute the leveling action. Among them, the priority of emergency leveling is higher than the normal leveling action; two in-position proximity switches are set at the leveling in-position position; comprehensive The tilt angle of the vertical cylinder relative to the ground and the in-position proximity switch signal determine whether the leveling is in place; the experimental prototype of the special vehicle is shown in Figure 30;

Step3022.快速起竖系统实验结果分析Step3022. Analysis of experimental results of rapid erection system

进行快速起竖实验前先对蓄能器进行充压,在压力达到33Mpa时手动停止充压,进行快速起竖实验,记录起竖角度从0°至95°的变化曲线,仿真结果截取65s-85s之间曲线,实验样机起竖状态如图31所示,实验结果与仿真对比结果如图32所示;Charge the accumulator before the rapid erection experiment, manually stop charging when the pressure reaches 33Mpa, conduct the rapid erection experiment, record the change curve of the erection angle from 0° to 95°, and intercept the simulation result for 65s- The curve between 85s, the erected state of the experimental prototype is shown in Figure 31, and the experimental results and simulation comparison results are shown in Figure 32;

对实验结果进行分析,在6.81s时刻,多级缸换级产生较大冲击,实验样机产生明显的振动,起竖角度振动幅值最大为4.7°;在12.5s时起竖角度达到95.3°,最大摆角3.3°;在14.5s时振动幅值减小至0.9°,起竖角度稳定至95°;According to the analysis of the experimental results, at 6.81s, the multi-stage cylinder changed a large impact, and the experimental prototype produced obvious vibration. The maximum vertical vibration amplitude was 4.7°; at 12.5s, the vertical angle reached 95.3°, The maximum swing angle is 3.3°; the vibration amplitude is reduced to 0.9° at 14.5s, and the erection angle is stable to 95°;

从图32可知,除换级与起竖到位两个时间段,仿真与实验结果偏差均在0.5°以内,实验较好的验证了仿真的结果。It can be seen from Figure 32 that the deviation between the simulation and experimental results is within 0.5°, except for the two time periods of changing the stage and erecting in place, and the experiment verifies the simulation results well.

实施例5:步骤Step4所述的确定特种车辆在协同运动过程中变负载冲击与快速展车系统之间的影响关系的确定依靠协同运动联合仿真过程完成;Embodiment 5: The determination of the influence relationship between the variable load impact and the rapid vehicle display system of the special vehicle during the coordinated motion process described in Step 4 is completed by relying on the coordinated motion co-simulation process;

Step401.协同运动联合仿真Step401. Collaborative motion co-simulation

Step4011.特种车辆联合仿真模型构建Step4011. Construction of co-simulation model for special vehicles

(1)在AMESim仿真模型中起竖部分可以输出起竖液压缸下铰支点的水平与垂直方向的力,也可以输出负载与车辆底盘连接部分的水平与垂直受力,首先对起竖液压缸作用在车辆底盘上的垂直力进行受力分析,如图33所示;(1) In the AMESim simulation model, the erecting part can output the horizontal and vertical forces of the lower hinge point of the erecting hydraulic cylinder, as well as the horizontal and vertical forces of the connecting part between the load and the vehicle chassis. The vertical force acting on the vehicle chassis is subjected to force analysis, as shown in Figure 33;

根据特种车辆参数,根据受力平衡与力矩平衡,得出式(44)-(45):According to the special vehicle parameters, according to the force balance and moment balance, formulas (44)-(45) are obtained:

Figure BDA0003741941820000231
Figure BDA0003741941820000231

Figure BDA0003741941820000232
Figure BDA0003741941820000232

式中,Fgy为起竖液压缸对特种车辆底盘的垂直方向的力,

Figure BDA0003741941820000233
为单个前支腿所受支反力,
Figure BDA0003741941820000234
单个后支腿所受支反力,L1为起竖液压缸下铰支点距离后侧支腿的距离,为3.243m,l为特种车辆前后支腿距离,为12m;In the formula, F gy is the vertical force of the erecting hydraulic cylinder on the chassis of the special vehicle,
Figure BDA0003741941820000233
is the reaction force of a single front outrigger,
Figure BDA0003741941820000234
The reaction force of a single rear outrigger, L 1 is the distance between the lower hinge fulcrum of the vertical hydraulic cylinder and the rear outrigger, which is 3.243m, and l is the distance between the front and rear outriggers of special vehicles, which is 12m;

可得式(46)与式(47)结果Equations (46) and (47) can be obtained

Figure BDA0003741941820000241
Figure BDA0003741941820000241

Figure BDA0003741941820000242
Figure BDA0003741941820000242

(2)分析负载与特种车辆底盘连接处的垂直方向的受力,如图34所示,从图34中可以看出,O点所受垂直方向力全部集中于后侧支腿;(2) Analyze the force in the vertical direction at the connection between the load and the chassis of the special vehicle, as shown in Figure 34. It can be seen from Figure 34 that the vertical force at point O is concentrated on the rear outrigger;

根据分析特种车辆起竖系统与调平系统之间的力学关系,将起竖机构输出的Y方向的力作为调平控制系统的一部分输入信号;将调平与起竖模型连接起来之后得到联合仿真模型如图35所示;According to the analysis of the mechanical relationship between the erection system and the leveling system of the special vehicle, the force in the Y direction output by the erection mechanism is used as a part of the input signal of the leveling control system; after the leveling and erection models are connected, a joint simulation is obtained. The model is shown in Figure 35;

Step4012.协同运动仿真分析Step4012. Collaborative motion simulation analysis

根据分析,对图36中仿真模型中的具体参数如下设置,在函数组件6中输入起竖液压缸对前支腿垂直方向的力,组件7中输入起竖液压缸对后支腿垂直方向的力,组件8中输入负载与特种车辆底盘连接处的垂直方向力,信号9输入如图37所示,在0-65s为0,此时为起竖蓄能器充压阶段,不进行起竖工作,在65s-75s输入为1,此时为调平系统工作,75s-120s,调平结束,输入为0;According to the analysis, the specific parameters in the simulation model in Figure 36 are set as follows. In function component 6, input the vertical force of the vertical hydraulic cylinder on the front outrigger, and in component 7, input the vertical force of the vertical hydraulic cylinder on the rear outrigger. Force, the vertical direction force at the connection between the load and the chassis of the special vehicle is input in component 8, and the input signal 9 is shown in Figure 37. It is 0 from 0 to 65s. At this time, it is the charging stage of the erection accumulator, and erection is not performed. Work, in 65s-75s, the input is 1, the leveling system is working at this time, 75s-120s, the leveling is over, the input is 0;

对协同运动系统在两种工况下进行仿真对以下两种工况进行分析:第一种为大倾角工况,即俯仰角为1.9°、横滚角为2.94°的工况;第二种为小倾角工况,即俯仰角为0.28°,横滚角为0.06°的工况;The coordinated motion system is simulated under two working conditions and the following two working conditions are analyzed: the first is the working condition with large inclination angle, that is, the working condition with the pitch angle of 1.9° and the roll angle of 2.94°; It is the working condition of small inclination angle, that is, the working condition where the pitch angle is 0.28° and the roll angle is 0.06°;

协同运动的仿真流程如下:The simulation process of cooperative motion is as follows:

在0-65s,起竖系统蓄能器充压,调平支腿无动作;在65s-68.69s,调平支腿伸出触地,同时开始快速起竖流程;在68.69s-75s,调平支腿触地调平;在73.47s-120s,调平支腿不动,直至快速起竖全流程结束;In 0-65s, the accumulator of the erection system is charged, and the leveling outrigger does not move; in 65s-68.69s, the leveling outrigger extends and touches the ground, and starts the rapid erection process; in 68.69s-75s, the adjustment The leveling outrigger touches the ground for leveling; in 73.47s-120s, the leveling outrigger does not move until the whole process of rapid erection is completed;

选取仿真结果中时间段处于65s-75s的调平数据,进行数据分析,处在大倾角工况下的调平支腿位移仿真结果如图38(a)所示,处在小倾角工况下调平支腿位移如图38(b)所示;The leveling data in the time period of 65s-75s in the simulation results is selected, and the data is analyzed. The simulation results of the displacement of the leveling outrigger under the condition of large inclination angle are shown in Figure 38(a), and it is lowered under the condition of small inclination angle. The displacement of the flat outrigger is shown in Figure 38(b);

从仿真结果中来看,协同运动可以在10s内完成调平过程;再对起竖过程进行分析,起竖液压缸位移如图39所示,起竖角度如图40所示;From the simulation results, the coordinated motion can complete the leveling process within 10s; then the erection process is analyzed, the displacement of the erection hydraulic cylinder is shown in Figure 39, and the erection angle is shown in Figure 40;

Step402.根据仿真结果进行分析,从图38可以看出,调平运动受影响较大,协同运动主要影响两方面:一是调平系统的精度,二是调平电动缸径向力载荷变化;Step402. Analyze according to the simulation results. It can be seen from Figure 38 that the leveling motion is greatly affected, and the coordinated motion mainly affects two aspects: one is the accuracy of the leveling system, and the other is the change of the radial force and load of the leveling electric cylinder;

首先对调平系统的精度进行分析,将串行运动时调平过程的仿真结果与协同运动时的调平结果进行对比分析,得到两种工况下位移偏差对比图,大倾角工况下调平支腿仿真位移偏差如图41(a)所示,小倾角工况下调平支腿仿真位移偏差如图41(b)所示;Firstly, the accuracy of the leveling system is analyzed, and the simulation results of the leveling process during serial motion and the leveling results during coordinated motion are compared and analyzed, and the comparison chart of displacement deviation under two working conditions is obtained. The simulated displacement deviation of the legs is shown in Fig. 41(a), and the simulated displacement deviation of the leveling legs under the condition of small inclination angle is shown in Fig. 41(b);

从图中可以看出,调平支腿触地调平后偏差在不断增大,大倾角工况下最大误差可达到4.77mm,小倾角工况下最大误差可达到4.75mm,通过与起竖过程进行对比,发现调平误差发生突变的时间段为二、三起竖液压缸换级,在换级时各支腿误差呈现不同走向,左右前支腿的偏差值在突然减小,左右后支腿的偏差值突然增大;但在换级完成后误差又会恢复到换级之前的趋势。It can be seen from the figure that the deviation of the leveling outriggers keeps increasing after they touch the ground. The maximum error can reach 4.77mm under the condition of large inclination angle, and the maximum error can reach 4.75mm under the condition of small inclination angle. The process is compared, and it is found that the time period when the leveling error suddenly changes is the level change of the second and third vertical hydraulic cylinders. During the level change, the errors of each outrigger show different trends. The deviation value of the left and right front outriggers decreases suddenly, and the left and right back The deviation value of the outrigger increases suddenly; but after the change is completed, the error will return to the trend before the change.

结合图42所示起竖力曲线与图43和44所示的前支腿与后支腿所受轴向力变化曲线进行分析,调平支腿的偏差曲线趋势与所受轴向力变化曲线趋势大致相同,对于受力突变的时间段,与起竖力情况进行对比,可知,二三级液压缸换级时起竖力从推力变为拉力,导致调平前支腿受力减小,调平后支腿受力增加,因此才会导致调平偏差发生突变;Combined with the vertical force curve shown in Figure 42 and the axial force change curve of the front outrigger and rear outrigger shown in Figures 43 and 44, the deviation curve trend of the leveling outrigger and the change curve of the axial force received are analyzed. The trend is roughly the same. For the time period of sudden change of force, compared with the erection force, it can be seen that the erection force changes from push force to pull force when the second and third stage hydraulic cylinders are changed, resulting in the reduction of the force on the outriggers before leveling. After leveling, the force on the outrigger increases, so the leveling deviation changes abruptly;

对调平支腿径向力进行分析,因为大倾角工况下径向力相对较大,所以对大倾角工况下起竖过程中的径向力变化进行分析,径向力变化如图45所示;The radial force of the leveling legs is analyzed. Because the radial force is relatively large under the condition of large inclination angle, the change of radial force during the erection process under the condition of large inclination angle is analyzed. The change of radial force is shown in Figure 45. Show;

从图45中可以看出,四个调平支腿合力最大小于150kN,但各支腿符合径向力小于14.7kN的要求;It can be seen from Figure 45 that the maximum combined force of the four leveling legs is less than 150kN, but each leg meets the requirement that the radial force is less than 14.7kN;

综上所述,结合式(25),协同运动中大倾角工况下横滚角调平精度为0.004°,俯仰角精度为0.053°,小倾角工况下横滚角最后调平精度为0.0025°,俯仰角精度为0.043°,从结果可知,协同运动使横滚角调平精度最多下降0.003°,俯仰角调平精度最多下降0.003°;调平支腿径向力符合设计要求;To sum up, combined with Equation (25), the roll angle leveling accuracy is 0.004° under the condition of large inclination angle, the pitch angle accuracy is 0.053°, and the final roll angle leveling accuracy under the condition of small inclination angle is 0.0025 °, the pitch angle accuracy is 0.043°, it can be seen from the results that the coordinated motion reduces the roll angle leveling accuracy by at most 0.003°, and the pitch angle leveling accuracy by at most 0.003°; the radial force of the leveling legs meets the design requirements;

Step403.协同运动对起竖过程影响Step403. Influence of coordinated motion on erection process

特种车辆协同运动对起竖过程的影响主要是在于负载是否会产生过载,因此需对起竖重心的加速度进行校核,图46(a)展示了水平方向的加速度对比,图46(b)展示了竖直方向的加速度对比;The effect of the coordinated motion of special vehicles on the erection process is mainly whether the load will be overloaded. Therefore, the acceleration of the erection center of gravity needs to be checked. Figure 46(a) shows the acceleration comparison in the horizontal direction, and Figure 46(b) shows The acceleration comparison in the vertical direction;

从图46中可以看出协同展车运动时重心的加速度大于串行工作时的加速度,在刚刚开始起竖时竖直方向的加速度最大,协同运动竖直方向最大加速度可达8.04,串行运动竖直方向加速度为6.02;水平方向的加速度在二三级换级时达到最大,协同运动水平方向最大加速度可达5.56,串行运动水平方向加速度为4.21;但仍小于1g,符合设计要求。It can be seen from Figure 46 that the acceleration of the center of gravity during the coordinated exhibition vehicle movement is greater than the acceleration during the serial operation. The acceleration in the vertical direction is the largest at the beginning of the erection, and the maximum acceleration in the vertical direction of the coordinated movement can reach 8.04. The acceleration in the vertical direction is 6.02; the acceleration in the horizontal direction reaches the maximum when the second and third levels are changed, the maximum acceleration in the horizontal direction of the coordinated movement can reach 5.56, and the acceleration in the horizontal direction of the serial movement is 4.21; but it is still less than 1g, which meets the design requirements.

以上显示和描述了本发明的基本原理、主要特征和本发明的优点。本行业的技术人员应该了解,本发明不受上述实施例的限制,上述实施例和说明书中描述的只是说明本发明的原理,在不脱离本发明精神和范围的前提下,本发明还会有各种变化和改进,这些变化和改进都落入要求保护的本发明范围内。本发明要求保护范围由所附的权利要求书及其等效物界定。The foregoing has shown and described the basic principles, main features and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited by the above-mentioned embodiments, and the descriptions in the above-mentioned embodiments and the description are only to illustrate the principle of the present invention. Without departing from the spirit and scope of the present invention, the present invention will have Various changes and modifications fall within the scope of the claimed invention. The claimed scope of the present invention is defined by the appended claims and their equivalents.

Claims (9)

1. A special vehicle rapid vehicle display cooperative control method is characterized in that: comprises the steps of
Step1, in the process of the special vehicle collaborative exhibition, providing various boundary conditions of the special vehicle collaborative exhibition movement, planning a scheme of the special vehicle collaborative movement in the process of the special vehicle exhibition according to the boundary conditions, and simultaneously providing a collaborative exhibition mode of parallel work;
step2, designing a special vehicle cooperative leveling method based on interference compensation, and controlling a cooperative vehicle spreading process of the special vehicle by using the special vehicle cooperative leveling method based on interference compensation;
and Step3, designing a special vehicle collaborative erection method based on high-pressure energy storage, and controlling a collaborative vehicle exhibition process of the special vehicle by utilizing the special vehicle collaborative erection method based on the high-pressure energy storage to complete rapid vehicle exhibition collaborative control of the special vehicle.
2. The special vehicle rapid exhibition cooperative control method according to claim 1, wherein: the design process of the cooperative motion scheme described in Step1 includes
Step101, determining a cooperative vehicle-displaying scheme that a leveling system and a vertical system work simultaneously according to boundary conditions in the cooperative vehicle-displaying process of the special vehicle;
step102, analyzing a leveling principle of four-pivot leveling on the basis of a special vehicle collaborative vehicle-spreading scheme, and leveling the vehicle by adopting a three-point height-by-height method;
and Step103, optimizing the erecting mechanism and designing a quick erecting system scheme on the basis of the special vehicle collaborative vehicle exhibition scheme.
3. The special vehicle rapid exhibition cooperative control method according to claim 2, characterized in that: the analysis process of the four-pivot leveling in the Step102 comprises
(1) Leveling of the system can be simplified into leveling of a certain platform plane, and a double-shaft tilt angle sensor is arranged in X, Y two mutually vertical directions of the platform to measure horizontal tilt angles in the two directions;
(2) set the supporting leg i in the horizontal coordinate system OX 0 Y 0 Z 0 The coordinates in are 0 P i =( 0 P iX , 0 P iY , 0 P iZ ) T In the platform coordinate system OX 1 Y 1 Z 1 The coordinates in are 1 P i =( 1 P iX , 1 P iY , 1 P iZ ) T (ii) a Meanwhile, assuming that initial angles alpha and beta of the platform are not 0, the platform is a small inclination angle, and the conditions that alpha and beta are small angles are met, the transformation matrix between the two coordinate systems is obtained as follows:
Figure FDA0003741941810000011
(3) set in a coordinate system OX 1 Y 1 Z 1 In, the coordinates of each leg are: 1 P i =( 1 X i , 1 Y i , 1 Z i ) T (ii) a Then
Figure FDA0003741941810000012
The coordinates of each fulcrum Z are:
0 Z i =(-α,β,1)( 1 X i , 1 Y i , 1 Z i ) T
(4) and (3) pre-supporting before leveling, firstly judging the highest point, and taking the point as the origin of coordinates, wherein the initial position of each supporting leg is as follows:
0 Z i =-α 1 X i1 Y i + 1 Z i
it is clear that, 1 Z i 0, the above formula can therefore be represented as:
0 Z i =-α 1 X i1 Y i
(5) setting i as h as the highest point, 0 Z h0 Z i and at any moment, the position difference between each fulcrum and the highest point is as follows:
e i0 Z h - 0 Z i =-α( 1 X h - 1 X i )+β( 1 Y h - 1 Y i )
(6) all the supporting legs are symmetrically distributed along the front, the back and the left and the right of the frame, and the distance between the long sides of the distributed supporting legs is L a Short side interval of L b Then, the coordinates of each leg in the moving coordinate system are:
Figure FDA0003741941810000021
Figure FDA0003741941810000022
accordingly, the extension amount of each supporting leg is calculated, the positive and negative of the inclination angle obey the right-hand rule, the supporting leg with the highest corresponding coordinate is different according to different combinations of the positive and negative of the two inclination angles in the X-axis direction and the Y-axis direction, and the four conditions are analyzed as follows:
(1) when α < 0, β > 0, leg 1 is highest:
Figure FDA0003741941810000023
(2) when alpha is more than 0 and beta is more than 0, the supporting leg 2 is the highest,
Figure FDA0003741941810000024
(3) when alpha is less than 0 and beta is more than 0, the supporting leg 3 is the highest,
Figure FDA0003741941810000031
(4) when alpha is less than 0 and beta is more than 0, the supporting leg 4 is the highest,
Figure FDA0003741941810000032
from the four cases above, it can be seen that: when the landing legs are adjusted every time, the adjustment quantity of each landing leg is 0, | alpha L a ||,||βL b ||,||αL a ||+||βL b One of the four numerical values of | l is distributed according to different high points; the leveling process can be iterated circularly until the levelness reaches the requirement.
4. The special vehicle rapid exhibition cooperative control method according to claim 1, characterized in that: the design process of the special vehicle collaborative leveling method based on the disturbance compensation in Step2 comprises
Step201, taking an electric cylinder as a leveling supporting leg, and establishing an electric cylinder deformation error model by calculating a theoretical error of a leveling process and calculating a theoretical bearing capacity of the leveling supporting leg;
and Step202, introducing a leveling control strategy based on interference compensation into the deformation error model of the electric cylinder, taking the deformation quantity of the electric cylinder as an initial input error of a leveling controller, taking the deformation quantity as a feedforward of a control system, and performing feedback control by adopting a fuzzy PID control method to obtain the special vehicle cooperative leveling method based on the interference compensation.
5. The special vehicle rapid exhibition cooperative control method according to claim 4, wherein: the leveling process theoretical error calculation process in Step201 comprises
(1) In the planetary roller screw, F is provided 0 For axial stressing of the planetary roller screw, with the same stressing at each contact point, F n To contact normal force, F a As axial force, F t As tangential force, F r As radial force, F s The resultant force of the axial force and the tangential force is adopted, and lambda is the lead angle of the roller; theta is a contact angle between the screw rod and the roller and between the nut and the roller;
the total axial force is related to the normal force of the single contact point by
Figure FDA0003741941810000033
In the formula, n is the number of the rollers;
(2) according to the Hertz theory, four main curvatures of point contact between the central screw and the roller are respectively determined as follows:
Figure FDA0003741941810000041
in the formula, R is the arc radius of the contact point of the roller and the central screw; r is 1 The radius of the thread roller path of the central screw rod; d is a radical of 1 The radius from the contact point to the central lead screw; d 2 The radius of the contact point to the roller axis;
as can be seen, the curvature sum is:
Σρ=ρ 11122122
the principal curvature function is:
Figure FDA0003741941810000042
(3) according to the Hertz contact theory, the elastic deformation of the contact surface is obtained as follows:
Figure FDA0003741941810000043
in the formula, E 1 And E 2 The elastic modulus of the roller and the screw rod; mu.s 1 And mu 2 Is the Poisson ratio of roller to screw, F 0 Is an axial force.
6. The special vehicle rapid exhibition cooperative control method according to claim 4, wherein: the process of calculating the theoretical bearing capacity of the leveling support leg in Step201 comprises
(1) The axial force and the radial force of the two front supporting legs to the frame are respectively set as f 1y 、f 1x 、f 1z (ii) a The axial force and the radial force of the two rear supporting legs to the frame are respectively f 2y 、f 2x 、f 2z (ii) a A vehicle body pitch angle alpha and a vehicle body roll angle beta; the left-right span of the two front supporting legs is h, and the span of the two rear supporting legs is the same as that of the two front supporting legs; the span of the front and rear supporting legs on the same side is l; mass of the frame is m 1 The load mass is m 2 The total mass is m; the center of mass of the frame is positioned in the vertical symmetrical plane of the vehicle body and has a horizontal distance of l from the central axis of the rear leg 1 (ii) a The load mass center is positioned in the vertical symmetrical plane of the car body and has a horizontal distance of l from the central axis of the rear leg 2 (ii) a The gravity acceleration is g-9.8 m/s 2
(2) Tracking the balance between the gravity of the frame and the axial force of the supporting legs when the state of the vehicle body changes by taking the plane of the frame as a reference, and listing a balance equation; the resultant force in the axial direction of the supporting leg is equal to the projection of the frame and the load gravity in the axial direction of the supporting leg; when the vehicle body has both a pitch angle and a roll angle, the stress balance equation is as follows:
f 1y +f 2y =mgcosαcosβ
f 1x +f 2x =mgsinα
f 1z +f 2z =mgsinβ
and (3) carrying out moment balance analysis by taking a connecting line of the two front supporting legs as a rotating shaft, wherein a moment balance equation is as follows:
[m 1 g(l-l 1 )+m 2 g(l-l 2 )]cosαcosβ=f 2y l
and (3) carrying out moment balance analysis by taking a connecting line of the two rear supporting legs as a rotating shaft, wherein a moment balance equation is as follows:
[m 1 gl 1 +m 2 gl 2 ]cosαcosβ=f 1y l。
7. the special vehicle rapid exhibition cooperative control method according to claim 4, wherein: the leveling control strategy based on interference compensation described in Step202 comprises
Step2021, calculating initial error as feedforward compensation, feedback control using self-adaptive fuzzy PID control, obtaining input error e of fuzzy controller according to feedforward interference compensation value, and calculating error change rate e c
Step2022. fuzzy controller in operation by constantly updating e and e c To adjust delta K p 、ΔK I And Δ K D The online self-tuning of PID parameters is realized, and different e and e are met c Different requirements for control parameters;
wherein, the input and output linguistic variables e, e of the fuzzy controller c 、ΔK p 、ΔK I 、ΔK D All of the ambiguity domains of [ -6, 6 [)]The fuzzy subset is [ NB, NM, NS, ZO, PS, PM, PB]And considering the coverage degree, sensitivity, stability and robustness principle of the domain of interest, each fuzzy subset adopts a Gaussian-shaped membership function.
8. The special vehicle rapid exhibition cooperative control method according to claim 1, characterized in that: the control process of the special vehicle collaborative erecting method based on the high-pressure energy storage comprises the Step of Step3
Step3011, adopting a scheme that a high-pressure accumulator drives a special vehicle to quickly erect, and establishing the high-pressure accumulator;
step3012, establishing a three-level hydraulic cylinder mathematical model on the basis of the high-pressure accumulator;
and Step3013, establishing a mathematical model of the buffer device on the basis of the mathematical model of the three-level hydraulic cylinder.
9. The special vehicle rapid exhibition cooperative control method according to claim 8, characterized in that: the establishing process of the three-level hydraulic cylinder mathematical model in the Step3012 comprises
(1) Respectively using the positive and negative cavities of hydraulic cylinder as a node cavity, establishing a pressure equation of two cavities by node cavity method, calculating the output force of each cylinder, and obtaining a mathematical model of three cylinders, such as
Figure FDA0003741941810000061
In the formula, E is the effective volume elastic modulus of the oil; v f And V b Respectively the initial volumes of the positive cavity and the negative cavity of the multi-stage cylinder; q f And Q b Respectively the flow rate of the fluid flowing into or out of the positive cavity and the negative cavity; a. the f3 、A f2 、A f1 The action areas of the positive cavities of the 3-stage, 2-stage and 1-stage cylinders are respectively; a. the b3 、A b2 、A b1 Respectively the reaction areas of the 3-stage cylinder, the 2-stage cylinder and the 1-stage cylinder; l. the 3max 、l 2max 、l 1max Maximum displacement of 3, 2, 1 stage cylinders respectively; p is a radical of f 、p b The pressures of the positive cavity and the negative cavity of the oil cylinder are respectively; x is the number of 32 、v 32 Axial displacement and speed of the 3-stage cylinder relative to the 2-stage cylinder are respectively; x is the number of 21 、v 21 Axial displacement and speed of the 2-stage cylinder relative to the 1-stage cylinder are respectively; x is the number of 1p 、v 1p Axial displacement and speed of the 1-stage cylinder relative to the piston rod are respectively; f 3 、F 2 、F 1 The output acting force of the 3-stage cylinder, the 2-stage cylinder and the 1-stage cylinder are respectively output; f f3 、F f2 、F f1 Friction forces in the operation processes of the 3-stage cylinder, the 2-stage cylinder and the 1-stage cylinder are respectively; f p3 、F p2 、F p1 The collision force among the 3-stage cylinder, the 2-stage cylinder and the 1-stage cylinder and the piston rod is respectively;
(2) the friction force model in the cylinder operation in the formula (40) adopts an improved LuGre model, and a mathematical model such as
Figure FDA0003741941810000062
Wherein z is the average elastic deformation of the bristles; v is the relative velocity of the contact surface; sigma z Is the stiffness coefficient; tau is z Is a damping coefficient; eta z Is the viscosity coefficient; v. of s Is the Stribeck velocity constant; f c Coulomb friction; f s Is static friction force; h is the thickness of the oil film;
(3) the model of the hydraulic cylinder interstage impingement in equation (40) is based on a Hertz contact force model, the mathematical model of which is as follows
Figure FDA0003741941810000063
In the formula, K p And K n Is the equivalent spring rate; μ is a hysteresis factor; delta is the contact point normal penetration depth; v. of R And v c The speed of the two cylinders; x is the relative displacement between the cylinder barrels; g p The upper limit of the displacement of the cylinder barrel; g is a radical of formula n The lower bound of cylinder displacement.
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