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CN106594170B - It is a kind of to lead the passive floating control method for being laid flat platform of mixing damping historical relic damping - Google Patents

It is a kind of to lead the passive floating control method for being laid flat platform of mixing damping historical relic damping Download PDF

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CN106594170B
CN106594170B CN201610980292.9A CN201610980292A CN106594170B CN 106594170 B CN106594170 B CN 106594170B CN 201610980292 A CN201610980292 A CN 201610980292A CN 106594170 B CN106594170 B CN 106594170B
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slide
damping
pedestal
motor
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CN106594170A (en
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吴俊�
李奕达
朱秋国
熊蓉
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Zhejiang University ZJU
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F15/00Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
    • F16F15/02Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems
    • F16F15/04Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems using elastic means
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F15/00Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
    • F16F15/02Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems
    • 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.

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Abstract

本发明公开了一种主被动混合减震文物减震浮放平台的控制方法,该方法首次将主被动混合减震方法应用于文物保护的防地震研究中。该方法结合了主动减震技术和被动减震技术,可以拥有优于主动减震和被动减震二者任一的控制效果,同时又能弥补单独依靠主动减震或被动减震的不足。可实现在突发地震中减弱地震波对文物的影响,做到文物不倾覆、不滑移、不碰撞,从而保护文物的完整性。该方法主要抑制水平方向的振动传递,即地震波中的横波。地震波中的横波传播速度小于纵波,但是破坏效果远远大于纵波。该装置设置水平方向上正交的X、Y方向的主动控制,有效的通过主动振动控制抑制横波传递给文物的水平加速度分量,速度分量以及位移分量,减弱文物震动,保护文物安全。

The invention discloses a control method for an active-passive hybrid shock-absorbing cultural relic shock-absorbing floating platform. The method firstly applies the active-passive hybrid shock-absorbing method to the earthquake prevention research of cultural relic protection. This method combines active damping technology and passive damping technology, which can have a control effect better than either of active damping and passive damping, and at the same time can make up for the shortcomings of relying on active damping or passive damping alone. It can reduce the impact of seismic waves on cultural relics during sudden earthquakes, so that cultural relics do not overturn, slip or collide, thereby protecting the integrity of cultural relics. This method mainly suppresses the vibration transmission in the horizontal direction, that is, the shear wave in the seismic wave. The propagation speed of shear waves in seismic waves is smaller than that of longitudinal waves, but the destructive effect is far greater than that of longitudinal waves. The device is equipped with active control in the orthogonal X and Y directions in the horizontal direction, effectively suppressing the horizontal acceleration component, velocity component and displacement component transmitted by the shear wave to the cultural relics through active vibration control, weakening the vibration of cultural relics and protecting the safety of cultural relics.

Description

一种主被动混合减震文物减震浮放平台的控制方法A control method for active-passive hybrid shock-absorbing cultural relics shock-absorbing floating platform

技术领域technical field

本发明属于减震技术领域,涉及博物馆中文物浮放平台的减震技术,尤其涉及一种主被动混合减震文物减震浮放平台的控制方法。The invention belongs to the field of shock absorption technology, and relates to a shock absorption technology for a cultural relic floating platform in a museum, in particular to a control method for an active and passive hybrid shock absorption floating platform for cultural relics.

背景技术Background technique

以馆藏浮放文物为主的可移动文物是先人留给我们的宝贵遗产,具有极其重要的科学、文化和历史价值,保护意义重大。然而在地震作用下,缺乏防震措施的浮放文物很容易产生破坏。仅以我国2008年汶川8.0级特大地震为例,据不完全统计,仅四川省就有216家文物收藏单位的3169件可移动文物受到不同程度破坏,造成了巨大的价值损失。由此可知,对文物采取有效减震措施,是减轻其震害的重要前提。The movable cultural relics, mainly floating cultural relics in the collection, are the precious heritage left to us by our ancestors. They have extremely important scientific, cultural and historical values, and their protection is of great significance. However, under the action of earthquakes, floating cultural relics without earthquake-proof measures are easily damaged. Just take the 8.0-magnitude Wenchuan Earthquake in my country in 2008 as an example. According to incomplete statistics, 3,169 movable cultural relics in 216 cultural relic collection units in Sichuan Province alone were damaged to varying degrees, resulting in huge loss of value. It can be seen that taking effective shock-absorbing measures for cultural relics is an important prerequisite for reducing their earthquake damage.

传统方法多为加固或悬挂方式,多数对文物本身的尺寸、形状以及重量等有较多要求,同时需要对文物本身进行一定改造以满足安置限制条件,此外此类多为经验手段,就控制效果而言,传统方法得到的振动输出效果并不是十分理想。浮放展陈文物防震装置运用先进的科技手段提高地震防范能力,设计的柜内型防震装置固定放置于博物馆展柜内,陈列文物浮放于产品的台面上。当出现突发地震时,该产品能有效减小地震对台面的影响,维持文物的稳定浮放,杜绝发生因文物倾覆、文物滑移或台面碰撞展柜内壁造成的文物损坏事故。使用柜内型防震装置,不需改变文物原展陈方式,也无需改造博物馆场地和陈列柜,因此柜内型防震装置是博物馆对浮放展陈珍贵文物实施防震保护的首选。目前已有的浮放平台减震技术主要采用被动减震技术,控制方案主要为通过弹性材料形变或滑动阻尼消耗振动能量,因此其要求在浮放底座周围有足够的空间来满足地震时滑动的需要。比如专利号CN201320448519.7,描述了一种双侧空间受限自触发式隔振台座。地震使其不同平面产生相对运动时通过依靠阻尼耗散地震波的能量,减小传递到文物上的能量。可以看出被动减震存在一定缺陷,首先被动减震对耗散能量材料要求较高,材料的特性直接影响到了最终的控制效果;其次,被动减震要求在浮放底座周围有足够长的容许位移,即最大滑动位移,以满足滑动或形变的需求;最后在断层附近的,长周期、高速振动会导致被动减震控制中孤立层的位移行程加大,使控制效果下降也会受到安置位置的限制,甚至出现放大加速度的现象。因此,需要找到一种既可以避免受到上述限制,又可以在地震中起到良好减震控制效果的控制方法。Traditional methods are mostly reinforcement or suspension methods, most of which have more requirements on the size, shape and weight of the cultural relics themselves, and at the same time need to carry out certain modifications on the cultural relics themselves to meet the constraints of placement. However, the vibration output effect obtained by the traditional method is not very ideal. The anti-shock device for floating cultural relics uses advanced technology to improve the ability to prevent earthquakes. The designed anti-shock device inside the cabinet is fixed and placed in the museum display cabinet, and the cultural relics on display are floated on the table of the product. When a sudden earthquake occurs, this product can effectively reduce the impact of the earthquake on the countertop, maintain the stable floating of cultural relics, and prevent cultural relics from being damaged due to cultural relics overturning, cultural relics slipping, or countertops colliding with the inner wall of the display cabinet. Using the anti-shock device in the cabinet does not need to change the original display method of cultural relics, nor does it need to modify the museum site and display cabinets. Therefore, the anti-shock device in the cabinet is the first choice for museums to implement anti-shock protection for precious cultural relics on display. At present, the existing floating platform shock absorption technology mainly adopts passive shock absorption technology, and the control scheme is mainly to consume vibration energy through elastic material deformation or sliding damping, so it requires enough space around the floating base to meet the sliding during earthquakes. need. For example, the patent number CN201320448519.7 describes a self-triggering vibration isolation pedestal with limited space on both sides. When an earthquake causes relative motion on different planes, the energy of the seismic wave is dissipated by damping, reducing the energy transferred to the cultural relics. It can be seen that there are certain defects in passive shock absorption. First, passive shock absorption has high requirements for energy-dissipating materials, and the characteristics of materials directly affect the final control effect. Second, passive shock absorption requires a sufficiently long allowable Displacement, that is, the maximum sliding displacement to meet the needs of sliding or deformation; finally, near the fault, long-period, high-speed vibration will cause the displacement stroke of the isolated layer in the passive damping control to increase, so that the control effect will also be affected by the placement position. limit, and even the phenomenon of magnifying the acceleration appears. Therefore, it is necessary to find a control method that can not only avoid the above limitations, but also play a good damping control effect in earthquakes.

发明内容Contents of the invention

针对现有技术的不足,本发明提供一种主被动混合减震文物减震浮放平台的控制方法,该方法首次将主被动混合减震方法应用于文物保护的防地震研究中。该方法结合了主动减震技术和被动减震技术,可以拥有优于主动减震和被动减震二者任一的控制效果,同时又能弥补单独依靠主动减震或被动减震的不足。可实现在突发地震中减弱地震波对文物的影响,做到文物不倾覆、不滑移、不碰撞,从而保护文物的完整性。该方法主要抑制水平方向的振动传递,即地震波中的横波。地震波中的横波传播速度小于纵波,但是破坏效果远远大于纵波。该装置设置水平方向上正交的X、Y方向的主动控制,有效的通过主动振动控制抑制横波传递给文物的水平加速度分量,速度分量以及位移分量,减弱文物震动,保护文物安全。Aiming at the deficiencies of the prior art, the present invention provides a control method for a floating platform of cultural relics with active and passive shock absorption, which is the first time that the active and passive hybrid shock absorption method is applied to the earthquake prevention research of cultural relics protection. This method combines active damping technology and passive damping technology, which can have a control effect better than either of active damping and passive damping, and at the same time can make up for the shortcomings of relying on active damping or passive damping alone. It can reduce the impact of seismic waves on cultural relics during sudden earthquakes, so that cultural relics do not overturn, slip or collide, thereby protecting the integrity of cultural relics. This method mainly suppresses the vibration transmission in the horizontal direction, that is, the shear wave in the seismic wave. The propagation speed of shear waves in seismic waves is smaller than that of longitudinal waves, but the destructive effect is far greater than that of longitudinal waves. The device is equipped with active control in the orthogonal X and Y directions in the horizontal direction, effectively suppressing the horizontal acceleration component, velocity component and displacement component transmitted by the shear wave to the cultural relics through active vibration control, weakening the vibration of cultural relics and protecting the safety of cultural relics.

为了达到上述目的,本发明所采用的技术方案如下:一种主被动混合减震文物减震浮放平台的控制方法,所述主被动混合减震文物减震浮放平台包括由下至上依次叠置的底座、第一滑座和第二滑座,所述第一滑座具有X向自由度,所述第二滑座具有Y向自由度,所述X向和Y向为水平向且水平投影交叉成90度;第一滑座和底座以及第一滑座和第二滑座之间均设有主动减震机构和被动减震机构;所述第一滑座和底座以及它们之间的主动减震机构和被动减震机构构成第一减震平台,所述第一滑座和第二滑座以及它们之间的主动减震机构和被动减震机构构成第二减震平台;In order to achieve the above object, the technical scheme adopted in the present invention is as follows: a control method of active and passive hybrid shock absorption floating platform for cultural relics, the active and passive hybrid shock absorption floating platform for cultural relics includes sequentially stacking from bottom to top The base, the first sliding seat and the second sliding seat, the first sliding seat has a degree of freedom in the X direction, the second sliding seat has a degree of freedom in the Y direction, and the X and Y directions are horizontal and horizontal The projections intersect at 90 degrees; active shock absorbing mechanisms and passive shock absorbing mechanisms are provided between the first slide seat and the base, and between the first slide seat and the second slide seat; The active shock absorbing mechanism and the passive shock absorbing mechanism constitute a first shock absorbing platform, and the first slide seat and the second slide seat and the active shock absorbing mechanism and the passive shock absorbing mechanism between them constitute a second shock absorbing platform;

所述的主动减震机构包括:沿X向或Y向布置且由电机驱动的丝杆,与所述第一滑座或第二滑座同步运动并与丝杆螺纹配合的滑套,检测底座或第一滑座运动加速度的陀螺仪,所述陀螺仪用于输出控制所述电机的信号;所述的主动减震机构还包括检测第一滑座与滑套的滑动位移的第一直线位移传感器,所述直线位移传感器用于输出控制所述电机的信号;The active damping mechanism includes: a screw rod arranged along the X-direction or Y-direction and driven by a motor; Or the gyroscope of the motion acceleration of the first sliding seat, the gyroscope is used to output the signal for controlling the motor; the active damping mechanism also includes a first straight line for detecting the sliding displacement of the first sliding seat and the sliding sleeve a displacement sensor, the linear displacement sensor is used to output a signal for controlling the motor;

所述底座设有适应第一滑座X向运动的X向导轨,所述第一滑座设有适应第二滑座Y向运动的Y向导轨;所述被动减震机构为弹簧,所述弹簧设置在第一、第二滑座与滑套的连接处;The base is provided with an X guide rail adapted to the X-direction movement of the first slide, and the first slide is provided with a Y guide guide adapted to the Y-direction movement of the second slide; the passive shock absorbing mechanism is a spring, and the The spring is arranged at the junction of the first and second sliding seats and the sliding sleeve;

还包括采集卡、第二直线位移传感器和计算机,所述第二直线位移传感器用于检测第一滑座或第二滑座的滑动位移,所述第一直线位移传感器和第二直线位移传感器均与采集卡相连,所述采集卡和陀螺仪与计算机相连;It also includes an acquisition card, a second linear displacement sensor and a computer, the second linear displacement sensor is used to detect the sliding displacement of the first sliding seat or the second sliding seat, the first linear displacement sensor and the second linear displacement sensor All are connected with the acquisition card, and the acquisition card and the gyroscope are connected with the computer;

该控制方法包括以下步骤:The control method includes the following steps:

(1)模型的建立:(1) Model establishment:

分别建立第一减震平台和第二减震平台的弹簧—质量—阻尼模型,两模型相同,下面以第一减震平台为例;Establish the spring-mass-damping models of the first shock-absorbing platform and the second shock-absorbing platform respectively. The two models are the same, and the first shock-absorbing platform is taken as an example below;

令底座的加速度ω(t)为:Let the acceleration ω(t) of the base be:

其中,x1(t)为底座的位移,t为时间;Wherein, x 1 (t) is the displacement of the base, and t is the time;

令滑套的加速度为:Make the acceleration of the sliding sleeve for:

其中x3(t)为滑套的位移;u(t)为滑套相对底座的加速度;Where x 3 (t) is the displacement of the sliding sleeve; u(t) is the acceleration of the sliding sleeve relative to the base;

令第一减震平台的加速度的输出为则有:Let the output of the acceleration of the first damping platform be Then there are:

式中,ks为弹簧的刚度系数,m2为第二减震平台的总质量,B为第一减震平台和底座相对滑动的阻尼系数;In the formula, k s is the stiffness coefficient of the spring, m is the total mass of the second damping platform, and B is the damping coefficient of the relative sliding between the first damping platform and the base;

由式(1)-式(3)可得到第一减震平台的状态空间模型:The state space model of the first damping platform can be obtained from formula (1)-(3):

其中,Z为第一减震平台的状态空间变量;Wherein, Z is the state space variable of the first damping platform;

第一减震平台的状态空间模型的输出Y为:The output Y of the state space model of the first damping platform is:

(2)控制方案的构建:(2) Construction of the control scheme:

控制方法采用输出反馈和前馈的方法,控制器采用PID控制器,控制器输出结果G(s)为:The control method adopts the method of output feedback and feedforward, the controller adopts PID controller, and the output result G(s) of the controller is:

式中,s为复变量,Kp为比例系数,Ki为积分系数,Kd为微分系数,N为滤波系数;In the formula, s is a complex variable, Kp is a proportional coefficient, Ki is an integral coefficient, Kd is a differential coefficient, and N is a filter coefficient;

设定允许第一减震平台的最大输出加速度为aset,将aset与步骤(1)中的第一减震平台的状态空间模型的输出Y做差值,得到偏差值e=aset-Y;将偏差值e乘以G(s)的时域方程,得到电机的控制量v1;Set the allowable maximum output acceleration of the first shock-absorbing platform as a set , make a difference between a set and the output Y of the state-space model of the first shock-absorbing platform in step (1), and obtain the deviation value e=a set − Y; Multiply the deviation value e by the time domain equation of G(s) to obtain the control variable v1 of the motor;

将陀螺仪测量得到的底座加速度通过Kalman滤波器进行滤波处理,得到底座的速度v2,通过前馈通道将该底座的速度v2传递给电机,最终电机控制量为v=v1+v2;The base acceleration measured by the gyroscope is filtered through the Kalman filter to obtain the base speed v2, and the base speed v2 is transmitted to the motor through the feedforward channel, and the final motor control value is v=v1+v2;

(3)控制流程:(3) Control process:

(3.1)直线位移传感器获取第一减震平台和底座的相对位移量,通过AD转换后输出给采集卡,计算机读取采集卡采集到的位移量,如果读取到的位移量超出设定的位移阈值时,计算机使电机转动,使滑套复位;(3.1) The linear displacement sensor obtains the relative displacement of the first damping platform and the base, and outputs it to the acquisition card after AD conversion, and the computer reads the displacement collected by the acquisition card. If the read displacement exceeds the set When the displacement threshold is reached, the computer rotates the motor to reset the sliding sleeve;

(3.2)如果读取到的位移量未超出设定的位移阈值时,计算机将陀螺仪采集到的加速度与设定的加速度阈值进行比较;(3.2) If the read displacement does not exceed the set displacement threshold, the computer compares the acceleration collected by the gyroscope with the set acceleration threshold;

(3.2.1)如果陀螺仪采集到的加速度超出设定的加速度阈值时,将底座的加速度与aset做差值,再将该差值作为G(s)的输入量,得到电机的速度控制指令,并下发到电机,控制电机进行减震运动,指令发送完毕后重复步骤(3.1)和步骤(3.2);(3.2.1) If the acceleration collected by the gyroscope exceeds the set acceleration threshold, make a difference between the acceleration of the base and a set , and then use the difference as the input of G(s) to obtain the speed control of the motor Command, and send it to the motor, control the motor to perform shock-absorbing movement, repeat steps (3.1) and steps (3.2) after the command is sent;

(3.2.2)如果陀螺仪采集到的加速度未超出设定的加速度阈值,且地震已停止时,则控制电机执行复位运动,如果已在零位则不运动,重复步骤(3.1)和步骤(3.2);(3.2.2) If the acceleration collected by the gyroscope does not exceed the set acceleration threshold, and the earthquake has stopped, then the motor is controlled to perform a reset movement. If it is already at zero, it does not move, and repeats steps (3.1) and steps ( 3.2);

(3.2.3)如果陀螺仪采集到的加速度未超出设定的加速度的阈值,且地震未停止时,直接重复步骤(3.1)和步骤(3.2);(3.2.3) If the acceleration collected by the gyroscope does not exceed the threshold value of the acceleration set, and the earthquake does not stop, directly repeat step (3.1) and step (3.2);

(3.2.4)如果陀螺仪采集到的加速度未超出设定的加速度阈值,且地震未发生时,计算机使控制电机使滑套复位,并重复步骤(3.1)和步骤(3.2)。(3.2.4) If the acceleration collected by the gyroscope does not exceed the set acceleration threshold and the earthquake does not occur, the computer will control the motor to reset the sliding sleeve, and repeat steps (3.1) and (3.2).

本发明的有益效果:本方案为第一个采用混合减震方案的设计,经过振动输入测试,该混合减震平台可有效隔振。当输入的振动的最大加速度约为2.5m/s2时(约为8级地震),最上层输出的加速度小于1m/s2。实物测试时输入的加速度峰值在2.5m/s2时,平台上倒置的水瓶可较长时间保持倒立,不倾覆。可见该文物防震保护方法可获得优良的控制效果,并且由于之前任一种控制方案的减震效果。Beneficial effects of the present invention: this solution is the first design adopting a hybrid shock absorbing solution, and after vibration input tests, the hybrid shock absorbing platform can effectively isolate vibrations. When the maximum acceleration of the input vibration is about 2.5m/s 2 (about an earthquake of magnitude 8), the output acceleration of the uppermost layer is less than 1m/s 2 . When the peak acceleration input during the physical test is 2.5m/s 2 , the inverted water bottle on the platform can remain upside down for a long time without overturning. It can be seen that the anti-seismic protection method of cultural relics can obtain excellent control effect, and it is due to the shock absorption effect of any previous control scheme.

附图说明Description of drawings

图1为混合减震文物保护平台的结构示意图;Figure 1 is a schematic structural view of a hybrid shock-absorbing cultural relic protection platform;

图2为底座结构示意图;Figure 2 is a schematic diagram of the base structure;

图3为丝杠局部结构示意图;Figure 3 is a schematic diagram of the local structure of the lead screw;

图4为电器元件连接图;Figure 4 is a connection diagram of electrical components;

图5为本发明反馈结合前馈的控制框图;Fig. 5 is the control block diagram of feedback combining feedforward of the present invention;

图6为本发明的主被动混合减震文物减震浮放平台的控制框图。Fig. 6 is a control block diagram of the active-passive hybrid damping cultural relics damping floating platform of the present invention.

具体实施方式Detailed ways

如图1-4所示,本发明的一种主被动混合减震文物减震浮放平台的控制方法,所述主被动混合减震文物减震浮放平台如图1,包括由下至上依次叠置的底座3、第一滑座2和第二滑座1,所述的第一滑座2具有X向自由度,所述第二滑座1具有Y向自由度,所述X向和Y向为水平向且水平投影交叉成90度;第一滑座2和底座3以及第一滑座2和第二滑座1之间均设有主动减震机构和被动减震机构;所述第一滑座2和底座3以及它们之间的主动减震机构和被动减震机构构成第一减震平台,所述第一滑座2和第二滑座1以及它们之间的主动减震机构和被动减震机构构成第二减震平台;As shown in Figures 1-4, a control method of an active-passive hybrid shock-absorbing cultural relics shock-damping floating platform according to the present invention, the active-passive hybrid shock-absorbing cultural relics shock-damping floating platform is shown in Figure 1, including sequentially from bottom to top The stacked base 3, the first sliding seat 2 and the second sliding seat 1, the first sliding seat 2 has a degree of freedom in the X direction, the second sliding seat 1 has a degree of freedom in the Y direction, and the X direction and The Y direction is horizontal and the horizontal projection intersects at 90 degrees; the first slide 2 and the base 3 and the first slide 2 and the second slide 1 are provided with an active shock absorbing mechanism and a passive shock absorbing mechanism; the The first sliding seat 2 and the base 3 and the active shock absorbing mechanism and the passive shock absorbing mechanism between them constitute the first shock absorbing platform, and the first sliding seat 2 and the second sliding seat 1 and the active shock absorbing mechanism between them The mechanism and the passive shock absorbing mechanism constitute the second shock absorbing platform;

以底座3一层为例,如图2。所述的主动减震机构包括:沿X向或Y向布置且由电机331、减速箱336及驱动器38,电机的安装板334,电机驱动的丝杆332,丝杆的固定套335,与所述第一滑座2或第二滑座1同步运动并与丝杆332螺纹配合的滑套333,检测底座3或第一滑座2运动加速度的陀螺仪37,所述陀螺仪37用于输出控制所述电机331的信号;所述的主动减震机构还包括检测第一滑座2与滑套333的滑动位移的第一直线位移传感器36和直线位移传感器连接板343,所述第一直线位移传感器36用于输出控制所述电机331的信号;所述被动减震装置如图2和3所示,包括滑套333,滑套333的第一限位板341和第二限位板342,以及两限位板和滑套之间的弹簧35。Take the first floor of the base 3 as an example, as shown in Figure 2. The active damping mechanism includes: arranged along the X direction or the Y direction and composed of a motor 331, a reduction box 336 and a driver 38, a motor mounting plate 334, a motor-driven screw 332, a fixing sleeve 335 of the screw, and the The first sliding seat 2 or the second sliding seat 1 moves synchronously and the sliding sleeve 333 threaded with the screw rod 332, and the gyroscope 37 that detects the motion acceleration of the base 3 or the first sliding seat 2, and the gyroscope 37 is used for output Control the signal of the motor 331; the active damping mechanism also includes a first linear displacement sensor 36 and a linear displacement sensor connecting plate 343 for detecting the sliding displacement of the first sliding seat 2 and the sliding sleeve 333, the first The linear displacement sensor 36 is used to output the signal for controlling the motor 331; the passive damping device, as shown in Figures 2 and 3, includes a sliding sleeve 333, a first limiting plate 341 and a second limiting plate of the sliding sleeve 333 Plate 342, and the spring 35 between the two limiting plates and the sliding sleeve.

所述底座3设有适应第一滑座X向运动的X向导轨31及滑块32,相对应的所述第一滑座2设有适应第二滑座Y向运动的Y向导轨;所述被动减震机构设置在第一、第二滑座与滑套333的连接处;The base 3 is provided with an X-guiding rail 31 and a slider 32 adapted to the X-direction movement of the first slide seat, and the corresponding first slide seat 2 is provided with a Y-guided guide rail adapted to the Y-direction movement of the second slide seat; The above-mentioned passive damping mechanism is arranged at the junction of the first and second sliding seats and the sliding sleeve 333;

还包括采集卡、第二直线位移传感器39及其连接板344和计算机,所述第二直线位移传感器用于检测第一滑座或第二滑座的滑动位移,所述第一直线位移传感器和第二直线位移传感器均与采集卡相连,所述采集卡和陀螺仪与计算机相连;Also comprise acquisition card, the second linear displacement sensor 39 and connecting plate 344 thereof and computer, described second linear displacement sensor is used for detecting the sliding displacement of first sliding seat or second sliding seat, and described first linear displacement sensor and the second linear displacement sensor are all connected with the acquisition card, and the acquisition card and the gyroscope are connected with the computer;

如图6所示,该控制方法包括以下步骤:As shown in Figure 6, the control method includes the following steps:

(1)模型的建立:(1) Model establishment:

因第一、第二减震平台结构相似却不存在耦合关系,故将其分开建模。将第一减震平台和第二减震平台机械结构简化后,分别建立第一减震平台和第二减震平台的弹簧—质量—阻尼模型,第一减震平台和第二减震平台的模型形式相同。以下先对第一减震平台进行简化和建模。底座3的运动状态受到地震输入的加速度影响,下面以第一减震平台为例;Because the structures of the first and second damping platforms are similar but there is no coupling relationship, they are modeled separately. After simplifying the mechanical structure of the first shock-absorbing platform and the second shock-absorbing platform, respectively establish the spring-mass-damping model of the first shock-absorbing platform and the second shock-absorbing platform, and the The model forms are the same. In the following, the first damping platform is simplified and modeled first. The motion state of the base 3 is affected by the acceleration input by the earthquake, and the first shock-absorbing platform is taken as an example below;

令底座3的加速度ω(t)为:Let the acceleration ω(t) of base 3 be:

其中,x1(t)为底座3的位移,t为时间;Wherein, x 1 (t) is the displacement of base 3, and t is time;

由于滑套333的位移量是底座3的位移以及滑套333相对底座位移之和,对其两次微分,可得滑套333的加速度为:Since the displacement of the sliding sleeve 333 is the sum of the displacement of the base 3 and the displacement of the sliding sleeve 333 relative to the base, by differentiating it twice, the acceleration of the sliding sleeve 333 can be obtained for:

其中x3(t)为滑套333的位移;u(t)为滑套333相对底座的加速度;Wherein x 3 (t) is the displacement of sliding sleeve 333; u (t) is the acceleration of sliding sleeve 333 relative to the base;

第一减震平台的加速度的输出受到弹簧的作用力以及阻尼力的影响,令第一减震平台的加速度的输出为则有:The output of the acceleration of the first damping platform is affected by the force of the spring and the damping force, so that the output of the acceleration of the first damping platform is Then there are:

式中,ks为弹簧的刚度系数,m2为第二减震平台的总质量,B为第一减震平台和底座相对滑动的阻尼系数;In the formula, k s is the stiffness coefficient of the spring, m is the total mass of the second damping platform, and B is the damping coefficient of the relative sliding between the first damping platform and the base;

由式(1)-式(3)可得到第一减震平台的状态空间模型:The state space model of the first damping platform can be obtained from formula (1)-(3):

其中,Z为第一减震平台的状态空间变量;Wherein, Z is the state space variable of the first damping platform;

第一减震平台的状态空间模型的输出Y为:The output Y of the state space model of the first damping platform is:

(2)控制方案的构建:(2) Construction of the control scheme:

根据所构建的模型以及状态量的状态,选择用输出反馈结合前馈的控制方案,如图5所示;反馈部分,选择被控变量为加速度的输出值,即与第一减震平台的加速度数值;加速度的设定值为确保文物不出现损坏的最大允许加速度值aset;反馈量为第一减震平台的输出的加速度aout,由弹簧35和第一直线位移传感器36测量得到,该实际数值同使用理论值计算得到的数值存在一定差异,此处需要用最小二乘辨识求得直线位移与加速度的相关关系。地震所导致的加速度作为底座的加速度ω(t),直接作用于机械结构上。控制方法采用输出反馈和前馈的方法,控制器采用PID控制器,控制器输出结果G(s)为:According to the model constructed and the state of the state quantity, the control scheme using output feedback combined with feedforward is selected, as shown in Figure 5; in the feedback part, the controlled variable is selected as the output value of the acceleration, that is, the acceleration of the first damping platform Numerical value; the set value of the acceleration is the maximum allowable acceleration value a set to ensure that the cultural relics do not appear damaged; the feedback value is the output acceleration a out of the first damping platform, measured by the spring 35 and the first linear displacement sensor 36, There is a certain difference between the actual value and the value calculated by using the theoretical value. Here, it is necessary to use the least squares identification to obtain the correlation between the linear displacement and the acceleration. The acceleration caused by the earthquake acts directly on the mechanical structure as the acceleration ω(t) of the base. The control method adopts the method of output feedback and feedforward, the controller adopts PID controller, and the output result G(s) of the controller is:

式中,s为复变量,Kp为比例系数,Ki为积分系数,Kd为微分系数,N为滤波系数;该方程为复频域下PID控制器公式,使用时,对该式(6)进行拉普拉斯逆变换。In the formula, s is a complex variable, Kp is a proportional coefficient, Ki is an integral coefficient, Kd is a differential coefficient, and N is a filter coefficient; this equation is a PID controller formula in the complex frequency domain. Inverse Laplace transform.

设定允许第一减震平台的最大输出加速度为aset,将aset与步骤(1)中的第一减震平台的状态空间模型的输出Y做差值,得到偏差值e=aset-Y;将偏差值e乘以G(s)的时域方程,得到电机的控制量v1;Set the allowable maximum output acceleration of the first shock-absorbing platform as a set , make a difference between a set and the output Y of the state-space model of the first shock-absorbing platform in step (1), and obtain the deviation value e=a set − Y; Multiply the deviation value e by the time domain equation of G(s) to obtain the control variable v1 of the motor;

将陀螺仪37测量得到的底座3的加速度通过Kalman滤波器进行滤波处理,得到底座3的速度v2,通过前馈通道将该底座的速度v2传递给电机331,最终电机控制量为v=v1+v2;The acceleration of the base 3 measured by the gyroscope 37 is filtered through a Kalman filter to obtain the speed v2 of the base 3, and the speed v2 of the base is transmitted to the motor 331 through the feedforward channel, and the final motor control value is v=v1+ v2;

所述Kalman滤波器进行滤波处理的过程如下:The process of performing filter processing by the Kalman filter is as follows:

前馈部分,陀螺仪37测量得到的底座加速度数值通过Kalman滤波器进行滤波处理,的到底座的速度Vf。Kalman方程递推式如公式(6):In the feedforward part, the acceleration value of the base measured by the gyroscope 37 is filtered through the Kalman filter to obtain the velocity V f of the base. The recursive formula of Kalman equation is as formula (6):

式中为状态x(k+1)的最优估计,A为参数矩阵,为状态x(k)的最优估计,K为滤波增益矩阵,y(k+1)为系统在k+1时刻的输出,C为观测矩阵。Kalman滤波增益阵K(k+1)满足:In the formula is the optimal estimate of the state x(k+1), A is the parameter matrix, is the optimal estimate of the state x(k), K is the filter gain matrix, y(k+1) is the output of the system at k+1 time, and C is the observation matrix. The Kalman filter gain matrix K(k+1) satisfies:

式中R1与R2为的噪声协方差矩阵,P为系统协方差矩阵,∑(k|k)为估计误差协方差矩阵。估计误差协方差阵∑(k+1|k+1)满足:In the formula, R 1 and R 2 are the noise covariance matrix, P is the system covariance matrix, and ∑(k|k) is the estimation error covariance matrix. The estimated error covariance matrix ∑(k+1|k+1) satisfies:

所述Kalman滤波器输入向量为[acc*T 0],其中acc为输入的加速度,参数矩阵A、输入矩阵B、观测矩阵C、输出矩阵D、模型噪声协方差矩阵R、观测噪声协方差矩阵Q、系统协方差矩阵P的设定如下:The Kalman filter input vector is [acc*T 0], where acc is the acceleration of the input, parameter matrix A, input matrix B, observation matrix C, output matrix D, model noise covariance matrix R, observation noise covariance matrix Q. The system covariance matrix P is set as follows:

C=[1 0]C=[1 0]

D=[1]D=[1]

Q=[1]Q=[1]

式中,T为对底座加速度的采样周期。In the formula, T is the sampling period of the acceleration of the base.

前馈通道函数以实现反向运动,设为常数-0.99。Vf通过前馈通道函数后得到电机的前馈控制量V2。将电机331的前馈控制量和反馈控制量相加,得到最终的电机控制量V=V1+V2,并传递给电机驱动器。Feedforward channel function for reverse motion, set to constant -0.99. After V f passes through the feedforward channel function, the feedforward control value V 2 of the motor is obtained. Add the feedforward control quantity and the feedback control quantity of the motor 331 to obtain the final motor control quantity V=V 1 +V 2 , and transmit it to the motor driver.

(3)控制流程:(3) Control process:

(3.1)第二直线位移传感器获取第一减震平台和底座的相对位移量,通过AD转换后输出给采集卡,计算机读取采集卡采集到的位移量,如果读取到的位移量超出设定的位移阈值时,计算机使电机转动,使滑套复位;(3.1) The second linear displacement sensor obtains the relative displacement of the first damping platform and the base, and outputs it to the acquisition card after AD conversion, and the computer reads the displacement collected by the acquisition card. When a certain displacement threshold is reached, the computer rotates the motor to reset the sliding sleeve;

(3.2)如果读取到的位移量未超出设定的位移阈值时,计算机将陀螺仪采集到的加速度与设定的加速度阈值进行比较;(3.2) If the read displacement does not exceed the set displacement threshold, the computer compares the acceleration collected by the gyroscope with the set acceleration threshold;

(3.2.1)如果陀螺仪采集到的加速度超出设定的加速度阈值时,将底座的加速度与aset做差值,再将该差值作为G(s)的输入量,得到电机的速度控制指令,并下发到电机,控制电机进行减震运动,指令发送完毕后重复步骤(3.1)和步骤(3.2);(3.2.1) If the acceleration collected by the gyroscope exceeds the set acceleration threshold, make a difference between the acceleration of the base and a set , and then use the difference as the input of G(s) to obtain the speed control of the motor Command, and send it to the motor, control the motor to perform shock-absorbing movement, repeat steps (3.1) and steps (3.2) after the command is sent;

(3.2.2)如果陀螺仪采集到的加速度未超出设定的加速度阈值,且地震已停止时,则控制电机执行复位运动,如果已在零位则不运动,重复步骤(3.1)和步骤(3.2);(3.2.2) If the acceleration collected by the gyroscope does not exceed the set acceleration threshold, and the earthquake has stopped, then the motor is controlled to perform a reset movement. If it is already at zero, it does not move, and repeats steps (3.1) and steps ( 3.2);

(3.2.3)如果陀螺仪采集到的加速度未超出设定的加速度的阈值,且地震未停止时,直接重复步骤(3.1)和步骤(3.2);(3.2.3) If the acceleration collected by the gyroscope does not exceed the threshold value of the acceleration set, and the earthquake does not stop, directly repeat step (3.1) and step (3.2);

(3.2.4)如果陀螺仪采集到的加速度未超出设定的加速度阈值,且地震未发生时,计算机使控制电机使滑套复位,并重复步骤(3.1)和步骤(3.2)。(3.2.4) If the acceleration collected by the gyroscope does not exceed the set acceleration threshold and the earthquake does not occur, the computer will control the motor to reset the sliding sleeve, and repeat steps (3.1) and (3.2).

在程序中有如下几点需要设置:The following points need to be set in the program:

(1)零位的设定:基于目前机械机构,零位设置为机械行程的中间点,此时底座、第一滑座和第二滑座的外形在竖直方向上的投影重合,并取此第二直线位移传感器的AD转换数值的平均值作为零位,将此数值的波动范围乘以1.5后设置为零位附近的死区。(1) Zero position setting: Based on the current mechanical mechanism, the zero position is set as the middle point of the mechanical stroke. At this time, the projections of the base, the first sliding seat and the second sliding seat in the vertical direction coincide, and take The average value of the AD conversion value of the second linear displacement sensor is used as the zero position, and the fluctuation range of this value is multiplied by 1.5 and then set as the dead zone near the zero position.

(2)加速度阈值设定:静止状态下分别取陀螺仪采集的X、Y方向加速度的均值,设定为零位,同时将数值的波动范围乘以1.5后设置为零位附近的死区。(2) Acceleration threshold setting: Take the mean value of the acceleration in the X and Y directions collected by the gyroscope in the static state, and set it as zero. At the same time, multiply the fluctuation range of the value by 1.5 and set it as the dead zone near the zero.

(3)判断地震状态:当陀螺仪采集的加速度均超出设置的加速度零位及死区时,认定正在发生地震;当采集到的加速度超出加速度阈值及死区时,进行对地震是否停止的判别,如果加速度未超出阈值的时间大于等于30秒,则认定地震未发生或已停止;如果加速度超出阈值的时间小于30秒,则认定地震仍在进行中。(3) Judging the earthquake state: When the acceleration collected by the gyroscope exceeds the set acceleration zero and dead zone, it is determined that an earthquake is occurring; when the collected acceleration exceeds the acceleration threshold and the dead zone, it is judged whether the earthquake has stopped , if the acceleration does not exceed the threshold for more than or equal to 30 seconds, it is determined that the earthquake has not occurred or has stopped; if the acceleration exceeds the threshold for less than 30 seconds, it is determined that the earthquake is still in progress.

(4)设置控制程序运行周期为2ms。(4) Set the operating cycle of the control program as 2ms.

本发明首次采用结合了主动控制减震及被动减震的混合减震方案的减震控制方法,同时结合了主动减震和被动减震方案的优点,优于之前的减震控制方案。相较于现有的传统减震和被动减震方案,具有减震效果好、可应对地震能级高、可应对地震持续时间长、可应对地震频率广、相对滑动位移小等优点。经过振动输入测试,该混合减震平台可有效隔震。当输入的震动的最大加速度约为2.5m/s2时(约为8级地震),最上层输出的加速度小于1m/s2,实物测试时输入加速度峰值在2.5m/s2时平台上倒置的水瓶(农夫山泉东方树叶)可较长时间保持直立,不倾覆,可见该文物防震保护平台可有效完成减震工作。The present invention adopts the damping control method of the mixed damping scheme combining active damping and passive damping for the first time, and combines the advantages of the active damping and passive damping schemes at the same time, which is superior to the previous damping control scheme. Compared with the existing traditional shock absorption and passive shock absorption schemes, it has the advantages of good shock absorption effect, high earthquake energy level, long earthquake duration, wide earthquake frequency and small relative sliding displacement. Vibration input tested, this hybrid shock-absorbing platform provides effective vibration isolation. When the maximum acceleration of the input vibration is about 2.5m/s 2 (approximately a magnitude 8 earthquake), the output acceleration of the top layer is less than 1m/s 2 , and the input acceleration peak value is 2.5m/s 2 when the physical test is inverted on the platform The water bottle (Nongfu Mountain Spring Oriental Leaves) can be kept upright for a long time without overturning. It can be seen that the anti-shock protection platform for cultural relics can effectively complete the shock absorption work.

Claims (1)

1. a kind of leading the passive floating control method for being laid flat platform of mixing damping historical relic damping, the master passively mixes damping historical relic damping The floating platform that is laid flat includes the pedestal being sequentially stacked from the bottom to top, first slide and second slide, and the first slide has X to freedom Degree, the second slide have a Y-direction degree of freedom, and the X is to being that horizontal direction and floor projection are crossed as 90 degree with Y-direction;First slides It is equipped with active vibration damping mechanism and passive energy dissipation mechanism between seat and pedestal and first slide and second slide;Described first slides Seat and pedestal and the active vibration damping mechanism between them and passive energy dissipation mechanism the first damped platform of composition, the first slide And second slide and active vibration damping mechanism between them and passive energy dissipation mechanism constitute the second damped platform;
The active vibration damping mechanism includes:Along X to or Y-direction arrangement and by motor-driven lead screw, with the first slide or The sliding sleeve that second slide moves synchronously and coordinates with wire rod thread detects pedestal or the gyroscope of first slide acceleration of motion, The gyroscope is for exporting the signal for controlling the motor;The active vibration damping mechanism further includes detection first slide and cunning The first straight line displacement sensor of the slide displacement of set, the linear displacement transducer is for exporting the letter for controlling the motor Number;
The pedestal, which is equipped with, adapts to X direction guiding rails of the first slide X to movement, and the first slide, which is equipped with, adapts to second slide Y-direction The Y-direction guide rail of movement;The passive energy dissipation mechanism is spring, and the connection in the first, second slide and sliding sleeve is arranged in the spring Place;
Further include capture card, second straight line displacement sensor and computer, the second straight line displacement sensor is for detecting the The slide displacement of one slide or second slide, the first straight line displacement sensor and second straight line displacement sensor with acquisition Card is connected, and the capture card and gyroscope are connected with computer;
It is characterized in that, the control method includes the following steps:
(1) foundation of model:
Spring-quality-damper model of the first damped platform and the second damped platform is established respectively, two models are identical, below By taking the first damped platform as an example;
The acceleration ω (t) of pedestal is enabled to be:
Wherein, x1(t) it is the displacement of pedestal, t is the time;
Enable the acceleration of sliding sleeveFor:
Wherein x3(t) it is the displacement of sliding sleeve;U (t) is acceleration of the sliding sleeve with respect to pedestal;
The output of the acceleration of the first damped platform is enabled to beThen have:
In formula, ksFor the stiffness coefficient of spring, m2For the gross mass of the second damped platform, B is that the first damped platform and pedestal are opposite The damped coefficient of sliding;
The state-space model of the first damped platform can be obtained by formula (1)-formula (3):
Wherein, Z is the state space variable of the first damped platform;
The output Y of the state-space model of first damped platform is:
(2) structure of control program:
For control method using method output feedback and feedovered, controller uses PID controller, controller to export result G (s) For:
In formula, s is complex variable, and Kp is proportionality coefficient, and Ki is integral coefficient, and Kd is differential coefficient, and N is filter factor;
The maximum output acceleration of the first damped platform of permission is set as aset, by asetWith the first damped platform in step (1) The output Y of state-space model do difference, obtain deviation e=aset-Y;Deviation e is multiplied by the when domain equation of G (s), is obtained To the controlled quentity controlled variable v1 of motor;
The pedestal acceleration that gyroscope measurement obtains is filtered by Kalman filter, obtains the speed of pedestal The speed v2 of the pedestal is passed to motor by v2 by feedforward path, and final motor controlled quentity controlled variable is v=v1+v2;
(3) control flow:
(3.1) linear displacement transducer obtains the relative shift of the first damped platform and pedestal, is given by being exported after AD conversion Capture card, computer read the collected displacement of capture card, if when displacement threshold value of the displacement read beyond setting, Computer makes motor rotate, and sliding sleeve is made to reset;
(3.2) if the displacement read without departing from setting displacement threshold value when, computer is by the collected acceleration of gyroscope It spends and is compared with the acceleration rate threshold of setting;
(3.2.1) if the collected acceleration of gyroscope beyond setting acceleration rate threshold, by the acceleration and a of pedestalset Difference is done, then using the difference as the input quantity of G (s), obtains the rate control instruction of motor, and be issued to motor, control electricity Machine carries out damping campaign, and instruction repeats step (3.1) and step (3.2) after being sent;
(3.2.2) is if the collected acceleration of gyroscope and when earthquake has stopped, is then controlled without departing from the acceleration rate threshold of setting Motor processed executes resetting movement, if in zero-bit if do not move, repeat step (3.1) and step (3.2);
(3.2.3) if the collected acceleration of gyroscope without departing from the acceleration of setting threshold value, and when earthquake does not stop, directly Connect repetition step (3.1) and step (3.2);
(3.2.4) is if the collected acceleration of gyroscope and when earthquake does not occur, is calculated without departing from the acceleration rate threshold of setting Machine makes control motor that sliding sleeve be made to reset, and repeats step (3.1) and step (3.2).
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