CN104961051A - Grab bucket anti-oscillation method applicable to grab bucket crane - Google Patents
Grab bucket anti-oscillation method applicable to grab bucket crane Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B66—HOISTING; LIFTING; HAULING
- B66C—CRANES; LOAD-ENGAGING ELEMENTS OR DEVICES FOR CRANES, CAPSTANS, WINCHES, OR TACKLES
- B66C13/00—Other constructional features or details
- B66C13/04—Auxiliary devices for controlling movements of suspended loads, or preventing cable slack
- B66C13/06—Auxiliary devices for controlling movements of suspended loads, or preventing cable slack for minimising or preventing longitudinal or transverse swinging of loads
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Abstract
本发明公开了一种适用于抓斗起重机上的抓斗防晃方法,该防晃方法为:在小车起动阶段时,主动控制小车加速度进行加速,抓斗偏离量S逐渐增大,当抓斗的速度V2与小车速度V1相同,且抓斗偏离角θ不超过偏离角阈值θ′时,使小车转入匀速运动;小车在匀速运动过程中,抓斗偏离量S保持不超过偏离量阈值S′;在小车停车阶段时,主动控制小车加速度进行减速,抓斗偏离量S逐渐减小,当小车停止时,抓斗偏离量S小于抓斗与池壁之间的安全距离。本发明的优点是,抓斗的大质量,长摆动周期,在反馈防晃中均为不利因素,而在主动防晃中,大质量、长摆动周期却减小了计算、干扰和其他因素引起的误差,使防晃得以较好的实现且保证了工作效率。
The invention discloses a grab bucket anti-sway method applicable to grab bucket cranes. The anti-sway method is as follows: during the starting stage of the trolley, the acceleration of the trolley is actively controlled to accelerate, and the deviation S of the grab bucket increases gradually. When the grab bucket When the speed V 2 of the trolley is the same as the speed V 1 of the trolley, and the deviation angle θ of the grab does not exceed the deviation angle threshold θ′, the trolley turns into a uniform motion; during the uniform motion of the trolley, the deviation S of the grab bucket does not exceed the deviation Threshold S'; when the trolley stops, the acceleration of the trolley is actively controlled to decelerate, and the deviation S of the grab bucket gradually decreases. When the trolley stops, the deviation S of the grab bucket is less than the safety distance between the grab bucket and the pool wall. The advantage of the present invention is that the large mass and long swing period of the grab bucket are unfavorable factors in feedback anti-sway, but in active anti-sway, the large mass and long swing period reduce calculation, interference and other factors. The error, so that the anti-shake can be better realized and ensure the work efficiency.
Description
技术领域 technical field
本发明属于起重机技术领域,具体涉及一种适用于抓斗起重机上的抓斗防晃方法。 The invention belongs to the technical field of cranes, and in particular relates to a grab bucket anti-sway method suitable for grab bucket cranes.
背景技术 Background technique
生活垃圾抓斗起重机(简称垃圾吊车)是生活垃圾焚烧发电厂或处理场所常用的主要作业设备之一。其工作特点是环境恶劣,工作场所高温、高湿,含腐蚀性气体;生产节奏快,作业频率高。为此要求起重机运行速度快,前进或后退的频率高,加减速时间短。但由于抓斗是通过钢丝绳悬挂在起重机小车上的,而小车的运动相当复杂,其中既有小车自身的运动,又有大车带动小车的运动。起重机大车和小车水平运动及提升系统的起升和下降将使抓斗产生晃动。如果没有考虑防晃措施,一般地说,起重机运行速度越快、加减速时间越短,越容易产生晃动。较长的钢丝绳和重量大的抓斗因惯性而导致晃动周期加长,使阻碍晃动的摩擦力的影响减小,因而也容易产生大幅度的晃动。垃圾吊车恰恰工作在运行速度快、加减速时间短、抓料和放料的位置定位要求高,抓斗联接的钢丝绳较长,即使是抓斗内空置也具有较大的质量,因而极易产生晃动和设施的碰撞。 Domestic waste grab crane (referred to as garbage crane) is one of the main operating equipment commonly used in domestic waste incineration power plants or processing sites. Its work is characterized by harsh environment, high temperature, high humidity, and corrosive gas in the workplace; fast production rhythm and high operating frequency. For this reason, the crane is required to run fast, to move forward or backward frequently, and to have short acceleration and deceleration time. However, since the grab is suspended on the trolley of the crane through a wire rope, the movement of the trolley is quite complicated, including the movement of the trolley itself and the movement of the trolley driven by the cart. The horizontal movement of the crane cart and trolley and the lifting and lowering of the lifting system will cause the grab to shake. If anti-sway measures are not considered, generally speaking, the faster the crane runs and the shorter the acceleration and deceleration time, the easier it is to sway. Longer wire ropes and heavy grab buckets result in longer shaking periods due to inertia, which reduces the influence of frictional force that hinders shaking, and thus is prone to large-scale shaking. The garbage crane works precisely when the running speed is fast, the acceleration and deceleration time is short, and the positioning requirements for grabbing and discharging materials are high. The steel wire rope connected to the grab bucket is long, and even if the grab bucket is empty, it has a large mass, so it is easy to produce Shaking and collision of facilities.
大幅度的抓斗晃动可能使抓斗与垃圾池壁或其他设施相撞,轻则加快抓斗、池壁的损坏,重则引发安全事故。为了防止撞击,不得不减低垃圾吊的运行速度,但降速的措施将严重影响垃圾吊车的作业效率。 A large shake of the grab bucket may cause the grab bucket to collide with the wall of the garbage pool or other facilities, which may speed up the damage of the grab bucket and the pool wall, or cause a safety accident if it is serious. In order to prevent the impact, the running speed of the garbage crane has to be reduced, but the measures to reduce the speed will seriously affect the operating efficiency of the garbage crane.
国内的垃圾吊车晃动一般仅靠起重机操作人员的技能保证,因而垃圾吊车的作业效率与操作人员的技巧有很大的关系。但即使是熟练的操作人员,一般也不可能将垃圾吊的能力发挥到极致。因为垃圾吊车往往是在操作室操作的,操作人员与垃圾吊有时有很大距离;另外,操作人员也有可能由于夜班等原因疲劳或者走神;而这极容易发生抓斗与池壁的相撞的故障。 The shaking of domestic garbage cranes is generally only guaranteed by the skills of the crane operators, so the operating efficiency of the garbage cranes has a lot to do with the skills of the operators. But even for skilled operators, it is generally impossible to maximize the ability of the garbage crane. Because the garbage crane is often operated in the operating room, there is sometimes a large distance between the operator and the garbage crane; in addition, the operator may be fatigued or distracted due to night shifts and other reasons; and this is extremely prone to collisions between the grab bucket and the pool wall Fault.
要实现垃圾吊车的防晃,一般会考虑采用常规的闭环控制系统,就是要稳定哪个晃动量,就对晃动量实行闭环控制。抓斗的晃动,是大车和小车频繁启动和停止及忽大忽小的加减速度变化,卷扬系统的高速提升和下降引起的。要稳定抓斗的沿大车、小车轨道两个方向的速度,需要对抓斗的速度实行闭环控制。 To realize the anti-sway of the garbage crane, it is generally considered to adopt a conventional closed-loop control system, that is, to stabilize the amount of sway, the closed-loop control is implemented on the amount of sway. The shaking of the grab is caused by the frequent start and stop of the cart and trolley, the sudden big and small acceleration and deceleration changes, and the high-speed lifting and lowering of the winch system. In order to stabilize the speed of the grab along the two directions of the cart and trolley tracks, it is necessary to implement closed-loop control on the speed of the grab.
但对抓斗速度实行闭环控制,有两个难点:按照闭环控制的常规方法,要稳定抓斗两个方向速度的平衡和位置定位,必须精准的检测抓斗的两个方向的运行速度,把抓斗速度作为反馈量与给定信号比较。但抓斗通过钢丝绳悬挂在小车下方,很难检测它的速度和位置。其次,即使能检测小车的速度,由于抓斗是个长周期振荡环节,响应慢其位置不断的在变化。要对其进行校正,也相当困难。图1所示是抓斗速度闭环控制各环节的传递函数。 However, there are two difficulties in the closed-loop control of the grab speed: According to the conventional method of closed-loop control, in order to stabilize the balance and position positioning of the two-direction speed of the grab, it is necessary to accurately detect the running speed of the two directions of the grab. The grab speed is compared with the given signal as a feedback quantity. However, the grab is suspended under the trolley through a wire rope, so it is difficult to detect its speed and position. Secondly, even if the speed of the trolley can be detected, since the grab is a long-period oscillation link, the response is slow and its position is constantly changing. It is also quite difficult to correct it. Figure 1 shows the transfer function of each link of the grab speed closed-loop control.
也可以考虑把抓斗的偏离量作为控制目标。抓斗的晃动是位置偏离了小车卷扬悬挂点的水平投影。因为小车是安装在大车上的,大车的运动将带动小车运动引起抓斗沿大车轨道方向的偏离分量SX。而小车又可以在大车上运动,小车自身的运动,将引起抓斗沿小车轨道方向的偏离分量SY。SX和SY是互相垂直的两个矢量,它们合成抓斗对小车的总偏离量。控制偏离量需要检测大车轨道方向的偏离量SX和小车轨道方向的偏离量SY。但要直接精准的检测这两个数据也是相当困难的。 It is also possible to consider the deviation of the grab as the control target. The shaking of the grab bucket is the horizontal projection of the position deviating from the hoisting point of the trolley. Because the trolley is installed on the trolley, the movement of the trolley will drive the movement of the trolley and cause the deviation component S X of the grab along the direction of the trolley track. And the trolley can move on the trolley, the movement of the trolley itself will cause the deviation component S Y of the grab along the track direction of the trolley. S X and S Y are two vectors perpendicular to each other, and they synthesize the total deviation of the grab to the trolley. To control the deviation, it is necessary to detect the deviation S X in the track direction of the cart and the deviation S Y in the track direction of the trolley. However, it is quite difficult to directly and accurately detect these two data.
在抓斗晃出偏离量不大的情况下,悬挂钢丝绳弯曲可以忽视,把钢丝绳看成始终是保持直线的。这样,可以通过检测钢丝绳在大小车轨道两个方向与铅直线的角度θX和θY来计算出SX和SY。 When the deviation of the grab bucket is not large, the bending of the suspension wire rope can be ignored, and the wire rope is regarded as always maintaining a straight line. In this way, S X and S Y can be calculated by detecting the angles θ X and θ Y of the wire rope and the vertical line in the two directions of the large and small car tracks.
但是,虽然检测θX和θY并不是很难实现,但如果要将θX和θY保持为0作为控制目标,也是无法实现的。因为反馈过程中并没有办法去直接控制产生偏离的抓斗本身,唯一的控制途径是控制小车(包括通过控制大车带动的小车的移动)来控制偏离角。比如在起动的时候,小车产生移动,抓斗必然产生偏离,如反馈控制系统立即响应来抑制θX和θY角,那么只能降低小车的运动速度,这就使小车根本无法产生有效的移动。 However, although it is not difficult to detect θ X and θ Y , it is impossible to keep θ X and θ Y as the control target. Because in the feedback process, there is no way to directly control the grab itself that has deviated, the only way to control it is to control the trolley (including the movement of the trolley driven by the cart) to control the deviation angle. For example, when starting, the trolley moves, and the grab will inevitably deviate. If the feedback control system responds immediately to suppress the θ X and θ Y angles, then the movement speed of the trolley can only be reduced, which makes it impossible for the trolley to move effectively. .
上述的控制,靠简单的反馈控制无法实现,必须允许偏离角的存在,但又无法规定一个固定的偏离角,因为在控制系统中,反馈控制的要求就是追求控制的实际值与目标值尽量接近,而偏离值本身并不是控制所要追求的,反而是应该最终消除的。这就形成一个悖论:防晃要求消除偏离角,但运行又需要存在偏离角。 The above control cannot be achieved by simple feedback control, and the existence of the deviation angle must be allowed, but a fixed deviation angle cannot be specified, because in the control system, the requirement of feedback control is to pursue the actual value of the control as close as possible to the target value , and the deviation value itself is not what the control wants to pursue, but should be eliminated eventually. This forms a paradox: anti-sway requires the elimination of the deviation angle, but the operation requires the existence of the deviation angle.
如果说,可以规定允许一定的偏离角,当偏离角幅值大于这个规定值时,控制小车设法使偏离角幅值减小,结束阶段则规定目标偏离角为0,则可以实现控制垃圾吊的晃动偏离角不是太大。这就实现了垃圾吊的防晃反馈控制,目前一些垃圾吊已经采用了类似的措施。 If it can be specified that a certain deviation angle is allowed, when the deviation angle amplitude is greater than the specified value, the control car tries to reduce the deviation angle amplitude, and at the end stage, the target deviation angle is specified as 0, then the control of the garbage crane can be achieved. Shake deviation angle is not too big. This realizes the anti-sway feedback control of the garbage crane. At present, some garbage cranes have adopted similar measures.
因此,必须按照起重机运行的各个阶段设置不同的目标控制偏离角。但控制偏离角只能通过控制小车的速度和加速度来实现。如果对这两个量进行反馈控制,对抓斗的防晃作用很小。需要反馈的量一般只能是吊绳的偏离角,而抓斗偏离角的控制环节中具有振荡环节,因此极难实现。这样的防晃控制很难达到理想的效果。因为如果对抓斗偏离角限定一个幅度,那么当偏离角幅度小于该值时,反馈控制系统应该不予干预;而当偏离角达到限定值时,反馈控制系统应该控制小车使该角不再增大。从单摆的运动规律来看,要想让到达目标值的偏离角不再变化,小车只有在与该时刻的抓斗的运动速度恰好相同,并且抓斗的偏离角也正好能给抓斗提供这个速度才行。而这基本上是不可能的。因为上述的反馈控制并没有将抓斗速度作为反馈量。 Therefore, different target control deviation angles must be set according to each stage of crane operation. But controlling the deviation angle can only be realized by controlling the speed and acceleration of the car. If feedback control is performed on these two quantities, the anti-shake effect on the grab is very small. The quantity that needs feedback can only be the deviation angle of the lifting rope, and the control link of the grab bucket deviation angle has an oscillation link, so it is extremely difficult to realize. Such anti-sway control is difficult to achieve the desired effect. Because if there is a limit to the deviation angle of the grab, then when the deviation angle is less than the value, the feedback control system should not intervene; and when the deviation angle reaches the limit value, the feedback control system should control the car so that the angle does not increase. big. From the perspective of the movement law of the simple pendulum, if the deviation angle to reach the target value does not change, the trolley can only move at exactly the same speed as the grab at that moment, and the deviation angle of the grab can also provide the grab with the right angle. This speed will do. And that's basically impossible. Because the above-mentioned feedback control does not take the grab speed as the feedback amount.
因此,这样的反馈控制只有可能将偏离角限制在一个范围内。按照单摆的运动规律,偏离角将在此范围内振荡,也就是保持一个晃动。不仅如此。如果偏离角达到控制限定值的时候,抓斗的速度过大,则也有可能因为小车加速性能和小车速度的限制,无法响应反馈控制的要求而超过目标偏离角。即仍然存在失控的可能。 Therefore, such feedback control is only possible to limit the deviation angle within a range. According to the law of motion of a simple pendulum, the deviation angle will oscillate within this range, that is, it will keep shaking. Not only that. If the speed of the grab is too high when the deviation angle reaches the control limit value, it may also be unable to respond to the requirements of feedback control and exceed the target deviation angle due to the limitation of the acceleration performance of the trolley and the speed of the trolley. That is, there is still the possibility of getting out of control.
还有,如果偏离角不断增大,反馈控制系统可能作出小车大幅减速甚至反向行驶的控制,这将严重影响作业效率。即使偏离角被限制在一定的幅值内,小车可能不得不在较小的运行速度和较小的加减速力度下运行,也就是说,起重机并没有发挥较好的效率。图2所示为抓斗偏离角闭环控制各环节的传递函数。 Also, if the deviation angle continues to increase, the feedback control system may control the trolley to decelerate significantly or even drive in the reverse direction, which will seriously affect the operating efficiency. Even if the deviation angle is limited within a certain range, the trolley may have to run at a small speed and with a small acceleration and deceleration force, that is to say, the crane does not play a good role in efficiency. Figure 2 shows the transfer function of each link in the closed-loop control of the grab deviation angle.
当然,也可以在反馈环路中加入校正环节。但由于需要校正的是大惯性振荡环节,因此也极难取得良好的效果。 Of course, a correction link can also be added in the feedback loop. However, since what needs to be corrected is the large inertial oscillation link, it is extremely difficult to obtain good results.
发明内容 Contents of the invention
本发明的目的是根据上述现有技术的不足之处,提供一种适用于抓斗起重机上的抓斗防晃方法,该防晃方法预先根据抓斗的单摆运动规律,通过计算,主动控制小车的运动参数,使小车在起动、运动、停止的全过程中,抓斗偏离角先增大,再保持不变,再减小,进而消除抓斗的周期性前后摆动。 The object of the present invention is to provide a grab bucket anti-sway method suitable for grab cranes based on the shortcomings of the above-mentioned prior art. The movement parameters of the trolley make the deviation angle of the grab bucket increase first, then keep the same, and then decrease during the whole process of starting, moving and stopping the trolley, thereby eliminating the periodic back and forth swing of the grab bucket.
本发明目的实现由以下技术方案完成: The object of the present invention is realized by the following technical solutions:
一种适用于抓斗起重机上的抓斗防晃方法,涉及小车以及经钢丝绳吊装于所述小车下方的抓斗,其特征在于所述防晃方法为:在所述小车起动阶段时,主动控制所述小车加速度进行加速,所述抓斗偏离量S逐渐增大,当所述抓斗的速度V2与所述小车速度V1相同,且所述抓斗偏离角θ不超过偏离角阈值θ′时,使所述小车转入匀速运动;所述小车在匀速运动过程中,所述抓斗偏离量S保持不超过偏离量阈值S′;在所述小车停车阶段时,主动控制所述小车加速度进行减速,所述抓斗偏离量S逐渐减小,当所述小车停止时,所述抓斗偏离量S小于所述抓斗与池壁之间的安全距离。 An anti-sway method for grabs suitable for grab cranes, involving a trolley and a grab hoisted below the trolley via a wire rope, characterized in that the anti-sway method is: during the start-up phase of the trolley, actively control The acceleration of the trolley accelerates, and the deviation S of the grab increases gradually. When the speed V 2 of the grab is the same as the speed V 1 of the trolley, and the deviation angle θ of the grab does not exceed the deviation angle threshold θ ’, the trolley turns into a uniform motion; during the uniform motion of the trolley, the deviation S of the grab bucket does not exceed the deviation threshold S’; when the trolley stops, the trolley is actively controlled The acceleration decelerates, and the deviation S of the grab bucket gradually decreases. When the trolley stops, the deviation S of the grab bucket is smaller than the safety distance between the grab bucket and the pool wall.
主动控制所述小车加速度进行加速的方法为:根据所述抓斗的晃动周期T以及所述小车的给定速度V1和加速度a1,计算当所述小车加速到给定速度V1时,是否能使所述抓斗与所述小车进行同步匀速运动,同时所述抓斗的偏离角θ不超过偏离角阈值θ′;若可以,则控制所述小车在加速度a1下加速到给定速度V1,使所述抓斗与所述小车保持同步匀速运动,且偏离角θ保持不超过偏离角阈值θ′;若不可以,则修改所述小车加速度a1,直至当所述小车加速到给定速度V1时,能使所述抓斗与所述小车进行同步匀速运动。 The method of actively controlling the acceleration of the trolley is: according to the shaking period T of the grab bucket and the given speed V 1 and acceleration a 1 of the trolley, calculate when the trolley accelerates to a given speed V 1 , Whether it is possible to make the grab and the trolley move synchronously and at a constant speed, and at the same time, the deviation angle θ of the grab bucket does not exceed the deviation angle threshold θ′; Speed V 1 , so that the grab and the trolley keep moving at a constant speed synchronously, and the deviation angle θ does not exceed the deviation angle threshold θ′; if not, modify the acceleration a 1 of the trolley until the trolley accelerates When the given speed V1 is reached, the grab and the trolley can be moved synchronously and at a uniform speed.
在于所述抓斗的晃动周期T的计算公式为: The formula for calculating the shaking period T of the grab bucket is:
T=2π(L/ g)1/2 T=2π(L/g) 1/2
其中,L为所述抓斗与所述小车之间悬挂的钢丝绳长度。 Wherein, L is the length of the wire rope suspended between the grab bucket and the trolley.
主动控制所述小车加速度进行减速的方法为:根据所述抓斗的晃动周期T以及所述小车的给定速度V1和加速度a1,计算当所述小车减速到0时,是否可以使所述抓斗的偏离角θ和速度均减小为0;若可以,则控制所述小车在加速度a1下减速至停止,使所述抓斗的偏离角θ和速度均减小为0;若不可以,则修改所述小车加速度a1,直至当所述小车减速到0时,所述抓斗的偏离角θ和速度均能减小为0。 The method of actively controlling the acceleration of the trolley to decelerate is: according to the shaking period T of the grab bucket and the given speed V 1 and acceleration a 1 of the trolley, calculate whether the trolley can be decelerated to 0 Both the deviation angle θ and the speed of the grab bucket are reduced to 0; if possible, control the trolley to decelerate to stop under the acceleration a 1 , so that the deviation angle θ and speed of the grab bucket are both reduced to 0; if If not, modify the acceleration a 1 of the trolley until when the trolley decelerates to 0, both the deviation angle θ and the speed of the grab can be reduced to 0.
所述偏离量阈值S′为S′<Sp,式中Sp为抓斗允许晃动的安全距离。 The deviation threshold S' is S'<Sp, where Sp is the safe distance that the grab is allowed to shake.
本发明的优点是,抓斗的大质量,长摆动周期,在反馈防晃中均为不利因素,而在主动防晃中,大质量、长摆动周期却减小了计算、干扰和其他因素引起的误差,使防晃得以较好的实现且保证了工作效率。 The advantage of the present invention is that the large mass and long swing period of the grab bucket are unfavorable factors in feedback anti-sway, but in active anti-sway, the large mass and long swing period reduce calculation, interference and other factors. The error, so that the anti-shake can be better realized and ensure the work efficiency.
附图说明 Description of drawings
图1为现有技术中常规速度反馈控制的传递函数示意图; Fig. 1 is the transfer function schematic diagram of conventional speed feedback control in the prior art;
图2为现有技术中抓斗偏离角反馈控制的传递函数示意图; Fig. 2 is a schematic diagram of the transfer function of the grab deviation angle feedback control in the prior art;
图3为本发明中主动防晃控制起动阶段的控制流程示意图; Fig. 3 is a schematic diagram of the control flow of the active anti-sway control startup stage in the present invention;
图4为本发明中主动防晃控制停止阶段的流程示意图。 Fig. 4 is a schematic flow chart of the stop phase of the active anti-sway control in the present invention.
具体实施方式 Detailed ways
以下结合附图通过实施例对本发明的特征及其它相关特征作进一步详细说明,以便于同行业技术人员的理解: The features of the present invention and other relevant features are described in further detail below in conjunction with the accompanying drawings through the embodiments, so as to facilitate the understanding of those skilled in the art:
实施例:本实施例具体涉及一种适用于抓斗起重机上的抓斗防晃方法,在小车的下方经钢丝绳悬吊有抓斗,对于抓斗防晃来说,防晃其实并不需要完全抑制抓斗的偏离量。防晃的要求在于:为了提高劳动生产率,在小车启动时,一般要求能加速到全速,此时允许抓斗产生偏离量;然后小车转入全速移动,抓斗仍然允许有偏离量,但希望偏离值不超过一个不大的值,不要增大,也不要有明显的前后交替晃动;在小车减速停止时,要让小车迅速及时地停止,寻求最小的滑行距离,而且停止时抓斗要迅速停止晃动,无前冲偏离量(即负方向的偏离量)或前冲偏离量较小。在靠近池壁时,前冲偏离量绝对不可以大于抓斗与池壁的安全距离。理想的状态是小车迅速减速到0的同时,抓斗的偏离量也正好减低到0。 Embodiment: This embodiment specifically relates to a grab bucket anti-sway method suitable for grab cranes. A grab bucket is suspended below the trolley via a wire rope. For the grab bucket anti-sway, the anti-sway does not need to be completely Suppresses the amount of deviation of the grab. The anti-sway requirement is: in order to improve labor productivity, when the trolley is started, it is generally required to accelerate to full speed, and the grab is allowed to deviate at this time; then the trolley moves at full speed, and the grab is still allowed to deviate, but it is hoped The value does not exceed a small value, do not increase it, and do not have obvious front and rear alternate shaking; when the trolley decelerates and stops, the trolley must stop quickly and in time, seek the minimum sliding distance, and the grab must stop quickly when stopping Shaking, no forward deviation (that is, deviation in the negative direction) or small forward deviation. When approaching the pool wall, the forward deviation must not be greater than the safe distance between the grab bucket and the pool wall. The ideal state is that when the trolley quickly decelerates to 0, the deviation of the grab is also reduced to 0.
抓斗的晃动是有其规律的,在很大的范围里,抓斗的运动可以用单摆的运动来近似,因此实际上抓斗的运动是可以预测的。如果考虑对抓斗实行主动防晃,则可以取得比较好的效果,由给定的控制参数,可以知道小车的运动参数(速度、加速度);根据抓斗的单摆运动公式,可以预知抓斗未来的运动参数(偏离值,速度,加速度);作为单摆,抓斗由于其运动周期长,抓斗的质量大,因而受环境的干扰也小,根据垃圾吊车的制造参数,根据抓斗的运动规律进行计算,主动改变小车的运动速度和加速度,理论上完全可以达到前面所述的对垃圾吊车的工作要求。 The shaking of the grab bucket has its own rules. In a large range, the motion of the grab bucket can be approximated by the motion of a single pendulum, so the motion of the grab bucket is actually predictable. If the active anti-sway of the grab is considered, better results can be achieved. From the given control parameters, the motion parameters (speed, acceleration) of the trolley can be known; according to the simple pendulum motion formula of the grab, the Future motion parameters (deviation value, speed, acceleration); as a simple pendulum, the grab has a long motion cycle and a large mass, so it is less disturbed by the environment. According to the manufacturing parameters of the garbage crane, according to the grab Calculating the law of motion and actively changing the speed and acceleration of the trolley can theoretically fully meet the working requirements of the garbage crane mentioned above.
为此,可以根据单摆的运动公式来计算,在起动加速阶段,以尽量大的力度来加速为目标进行控制;在该阶段,允许偏离值增大。在匀速运动阶段,以尽量大的速度运动为目标来控制;在该阶段,要求偏离值保持一个不大的值不增大。在减速停车阶段,以尽量大的力度来减速,在该阶段,要求偏离值与小车速度配合减小。当小车速度为0时,偏离值也为0,则为理想状态。 For this reason, it can be calculated according to the motion formula of a simple pendulum. In the stage of starting acceleration, the acceleration is controlled with as much force as possible; in this stage, the deviation value is allowed to increase. In the stage of uniform motion, the goal is to control with the maximum speed movement; in this stage, the deviation value is required to keep a small value and not increase. In the stage of deceleration and stop, decelerate with as much force as possible. In this stage, the deviation value is required to decrease in coordination with the speed of the trolley. When the speed of the trolley is 0, the deviation value is also 0, which is an ideal state.
以上的控制方式,都是预先根据抓斗的单摆运动规律,通过计算,主动控制小车的运动参数而达到防晃的目的。小车起动、运动、停止的全过程中,抓斗偏离角先增大,再保持不变,再减小。这样的运动状态,消除了抓斗的周期性前后摆动,也就实现了本技术的防晃目标。 The above control methods are based on the single pendulum motion law of the grab in advance, through calculation, and actively control the motion parameters of the trolley to achieve the purpose of anti-shaking. During the whole process of starting, moving and stopping the trolley, the grab deviation angle first increases, then remains unchanged, and then decreases. Such a motion state eliminates the periodic back and forth swing of the grab bucket, and thus realizes the anti-shaking goal of the technology.
因此,只要根据抓斗的单摆运动规律,主动对小车进行相应的控制,可以使起重机以较理想的运动参数工作。当然,由于环境与其他因素的影响,单靠主动防晃,在理想的速度和加速度下,抓斗不可能完全实现停止时的晃动,但这种晃动可以是轻微的,对起重机的安全和起重机的高效运动是可以接受的,或者可以认为是理想的。 Therefore, as long as the trolley is actively controlled according to the single pendulum motion law of the grab bucket, the crane can work with ideal motion parameters. Of course, due to the influence of the environment and other factors, it is impossible for the grab to completely realize the shaking when it stops under the ideal speed and acceleration only by active anti-sway, but this kind of shaking can be slight, which is harmful to the safety of the crane and the crane. Efficient movement of is acceptable, or may be considered ideal.
防晃按小车沿大车轨道方向和沿小车轨道方向的运动分别控制。大车移动,就控制沿大车轨道方向的晃动,控制最终对象虽然是小车,但实际控制的是大车传动系统。小车移动,就控制沿小车轨道方向的晃动,实际控制的是小车传动系统。以下阐述的内容和变量,都指的是对其中一个系统的,需要两个方向消晃,就同时控制两个系统。 The anti-shake is controlled separately according to the movement of the trolley along the direction of the cart track and along the direction of the trolley track. When the cart moves, the shaking along the direction of the cart track is controlled. Although the final object of control is the trolley, the actual control is the transmission system of the cart. When the trolley moves, the shaking along the track of the trolley is controlled, and the actual control is the transmission system of the trolley. The content and variables described below all refer to one of the systems. If two directions are required to control the two systems at the same time.
如图3、4所示,本实施例中适用于抓斗起重机上的抓斗防晃方法具体包括如下步骤: As shown in Figures 3 and 4, the grab anti-sway method applicable to the grab crane in this embodiment specifically includes the following steps:
(1)首先测量小车与抓斗之间的钢丝绳长度L,之后根据单摆的运动公式以及该长度L,可以算出ω=(g/L)1/2,抓斗晃动的周期则为T=2π/ω=2π(L/ g)1/2; (1) First measure the length L of the steel wire rope between the trolley and the grab, and then calculate ω=(g/L) 1/2 according to the motion formula of the simple pendulum and the length L, and the shaking period of the grab is T= 2π/ω=2π(L/g) 1/2 ;
在小车起动时,抓斗必然会产生偏离量S,若小车为匀加速,则偏离量S的计算公式为:S=a1 L (1-cosωt) /g ; When the trolley is started, the grab will inevitably produce a deviation S. If the trolley is accelerating uniformly, the calculation formula for the deviation S is: S=a 1 L (1-cosωt) /g;
根据抓斗的晃动周期T,和小车的给定速度V1、加速度a1,可以计算出抓斗未来的运动参数(偏离量s、速度V2、加速度a2)。 According to the shaking period T of the grab, and the given speed V 1 and acceleration a 1 of the trolley, the future motion parameters of the grab (deviation s, speed V 2 , acceleration a 2 ) can be calculated.
(2)如图3所示,在小车起动阶段,主动控制小车的加速度a1进行加速运动,计算当小车加速到给定速度V1时,抓斗的偏离量S是否能保持不超过偏离量阈值S′,或偏离角θ是否能保持不超过偏离角阈值θ′,使抓斗与小车进行同步匀速运动,其中偏离角阈值θ′为: (2) As shown in Figure 3, during the start-up stage of the trolley, actively control the acceleration a 1 of the trolley to accelerate the movement, and calculate whether the deviation S of the grab bucket can be kept within the deviation when the trolley accelerates to a given speed V 1 The threshold S', or whether the deviation angle θ can be kept within the deviation angle threshold θ', so that the grab and the trolley perform synchronous and uniform motion, where the deviation angle threshold θ' is:
θ′=arcsin(S′/L) θ'=arcsin(S'/L)
若可以,则控制小车在加速度a1下加速到给定速度V1,使抓斗与小车保持同步匀速运动,且偏离角θ不超过偏离角阈值θ′; If it is possible, control the trolley to accelerate to a given speed V 1 under the acceleration a 1 , so that the grab and the trolley keep moving synchronously and at a constant speed, and the deviation angle θ does not exceed the deviation angle threshold θ′;
若不可以,则修改小车加速度a1,直至当小车加速到给定速度V1时,抓斗的偏离角θ不超过偏离角阈值θ′,抓斗与小车进行同步匀速运动; If not, modify the acceleration a 1 of the trolley until when the trolley accelerates to a given speed V 1 , the deviation angle θ of the grab does not exceed the deviation angle threshold θ′, and the grab and the trolley perform synchronous and uniform motion;
需要说明的是,偏离量阈值S′和偏离角阈值θ′是人为规定的值,由抓斗起重机设计者或用户对抓斗的晃动的容忍程度决定;S′的极限即为抓斗起重机设计时规定的或抓斗起重机用户规定的晃动控制安全距离Sp,对于垃圾抓斗起重机,Sp是小车在最靠近垃圾池壁的极限位置时抓斗靠池壁侧与池壁的距离,因此必须有: It should be noted that the deviation threshold S' and the deviation angle threshold θ' are artificially specified values, which are determined by the grab crane designer or user's tolerance for the shaking of the grab bucket; the limit of S' is the design value of the grab crane. The rocking control safety distance Sp stipulated at the time or specified by the user of the grab crane. For the garbage grab crane, Sp is the distance between the grab near the pool wall and the pool wall when the trolley is at the limit position closest to the garbage pool wall. Therefore, there must be :
S′<Sp S′<Sp
相应地,θ′和抓斗的高度有关,可以由θ=arcsin(S/L)算出: Correspondingly, θ' is related to the height of the grab bucket, which can be calculated by θ=arcsin(S/L):
θ′=arcsin(S′/L) θ'=arcsin(S'/L)
当S′>Sp时,不能保证垃圾抓斗不与池壁相撞; When S′>Sp, it cannot be guaranteed that the garbage grab will not collide with the pool wall;
事实上,S′<Sp是抓斗防晃的最低要求,虽然能保证运行的安全,但对抓斗起重机的高效作业,还是有较大的差距的,一般不能按此规定S′; In fact, S′<Sp is the minimum requirement for grab anti-sway. Although it can ensure the safety of operation, there is still a big gap for the efficient operation of grab cranes. Generally, S′ cannot be stipulated according to this;
从理论上来说,根据抓斗操作运行的V1,a1等参数用单摆运动公式进行计算,抓斗未来的运动是可知的;S′的值表达了控制目标精度,因此S′的值也是可以人为规定的,其选值范围在0~Sp之间;但由于测量误差、计算误差,从工业应用来说,S′的值控制得过低会增加设备成本,而且同样可能会降低起重机作业效率;根据使用要求,S′一般可以在0.1Sp~0.5Sp之间选取; Theoretically speaking, according to the parameters such as V 1 and a 1 of the operation of the grab, the single pendulum motion formula is used to calculate the future motion of the grab; the value of S′ expresses the accuracy of the control target, so the value of S′ It can also be artificially specified, and its selected value range is between 0 and Sp; but due to measurement errors and calculation errors, from an industrial application, if the value of S' is controlled too low, it will increase the equipment cost, and it may also reduce the cost of the crane. Operating efficiency; according to the requirements of use, S' can generally be selected between 0.1Sp and 0.5Sp;
对于没有规定安全距离Sp的起重机,在抓斗防晃中一般可以取Sp为大车或小车在最高运行速度时0.2~5秒钟移动的距离来计算。L大,该值可以取得大一些;L小,该值可以取得小一些;对于L值变化很大的起重机,Sp也可以取变量,并不会妨碍主动防晃的计算; For cranes that do not have a specified safety distance Sp, in the grab anti-sway, Sp can generally be calculated as the distance that the cart or trolley moves in 0.2 to 5 seconds at the highest operating speed. If L is large, the value can be made larger; if L is small, the value can be made smaller; for cranes whose L value changes greatly, Sp can also be a variable, which will not hinder the calculation of active anti-sway;
(3)之后小车转入匀速运动,速度为V1(一般情况下应该是小车的全速),在这个匀速运动的过程中,这个偏离量S不超过偏离量阈值S′; (3) Afterwards, the trolley turns into a uniform motion at a speed of V 1 (in general, it should be the full speed of the trolley). During this uniform motion, the deviation S does not exceed the deviation threshold S′;
(4)如图4所示,同理,在小车停止阶段,主动控制小车的加速度a1进行减速运动,计算当小车减速为0时,是否可以使抓斗的偏离角θ和速度均减小为0; (4) As shown in Figure 4, similarly, at the stop stage of the trolley, actively control the acceleration a 1 of the trolley to decelerate, and calculate whether the deviation angle θ and speed of the grab can be reduced when the deceleration of the trolley is 0 is 0;
若可以,则控制小车在加速度a1下减速至停止,使抓斗的偏离角θ和速度均减小为0; If possible, control the trolley to decelerate to stop under the acceleration a 1 , so that the deviation angle θ and speed of the grab bucket are both reduced to 0;
若不可以,则修改小车加速度a1,直至当小车减速到0时,抓斗的偏离角θ和速度均能减小为0。 If not, modify the trolley acceleration a 1 until when the trolley decelerates to 0, both the deviation angle θ and the speed of the grab can be reduced to 0.
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