CN110315571A - A kind of software actuator control method of robotic asssembly posture correction - Google Patents
A kind of software actuator control method of robotic asssembly posture correction Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及一种软体致动器控制方法,尤其是一种机器人装配姿态纠偏的软体致动器控制方法。The invention relates to a software actuator control method, in particular to a software actuator control method for rectifying robot assembly posture.
背景技术Background technique
对于广泛存在于低压电器、塑料玩具以及3C等产品中的异构非刚性零件,这类零件的装配过程中接触力以及零件之间的配合情况复杂,在此类零件的自动化装配中,传统的刚性末端执行器所执行的的夹紧-定位-安装这样的装配动作,通常会由于零件的制造误差、定位误差以及装配执行系统刚度过大等原因造成零件损坏。在当前的机器人自动化装配领域中,为了保证此类异构非刚性零件的有效装配,多采用刚性末端夹持器进行零件夹持。在机器人末端关节安装力反馈传感器,通过装配接触力反馈进行零件装配姿态感知,然后根据所感知的零件装配姿态,控制装配机器人对装配姿态进行调整。这类机器人装配姿态纠偏控制方法需要额外安装力传感器,且需要在机器人运行控制程序中增加特定的装配姿态纠偏算法,即增加了成本,降低了姿态纠偏方法对于不同机器人的适应性,又降低了机器人自动化装配的运行的效率。For heterogeneous non-rigid parts that widely exist in low-voltage electrical appliances, plastic toys, and 3C products, the contact force during the assembly process of such parts and the coordination between parts are complicated. In the automatic assembly of such parts, traditional The assembly action of clamping-positioning-installation performed by the rigid end effector usually causes parts to be damaged due to the manufacturing error, positioning error and excessive rigidity of the assembly execution system. In the current field of robotic automated assembly, in order to ensure the effective assembly of such heterogeneous non-rigid parts, rigid end grippers are often used for parts clamping. A force feedback sensor is installed at the end joint of the robot, and the assembly attitude of the part is sensed through the assembly contact force feedback, and then the assembly robot is controlled to adjust the assembly attitude according to the sensed part assembly attitude. This type of robot assembly attitude correction control method requires additional installation of force sensors, and a specific assembly attitude correction algorithm needs to be added to the robot operation control program, which increases the cost and reduces the adaptability of the attitude correction method to different robots. Operational efficiency of robotic automated assembly.
相比于刚性夹持机构,采用橡胶材料制造的气动软体致动器具有多自由度以及对复杂力作用环境适应性高的特点,使得气动软体致动器对应用于装配姿态纠偏具有很好的潜力。但是目前对弹性气动软体的形变控制只对单一形变方向的大变形量进行控制,并不适用于装配姿态纠偏时多形变方向、小变形量的情况。Compared with the rigid clamping mechanism, the pneumatic soft actuator made of rubber material has the characteristics of multiple degrees of freedom and high adaptability to the complex force environment, which makes the pneumatic soft actuator very good for the correction of assembly posture. potential. However, the current deformation control of the elastic-pneumatic soft body only controls the large deformation in a single deformation direction, and is not suitable for the situation of multiple deformation directions and small deformation when the assembly posture is corrected.
发明内容SUMMARY OF THE INVENTION
为了克服已有装配姿态纠偏控制方法硬件成本高、适应性不强的不足,本发明提出了一种机器人装配姿态纠偏的软体致动器控制方法,实现异构非刚性零件机器人装配过程中的装配姿态感知以及装配姿态纠偏。In order to overcome the shortcomings of high hardware cost and poor adaptability of the existing assembly attitude correction control method, the present invention proposes a software actuator control method for robot assembly attitude correction, which realizes the assembly of heterogeneous non-rigid parts in the robot assembly process. Attitude perception and assembly attitude correction.
本发明解决其技术问题所采用的技术方案是:The technical scheme adopted by the present invention to solve its technical problems is:
一种机器人装配姿态纠偏的软体致动器控制方法,对于能向任意方向偏转的多腔室气动软体致动器,采用一种结合偏转方向向量以及偏转角度的方法表示软体致动器的变形情况;根据气动软体致动器气压控制以及弹性变形的特点,将装配姿态纠偏控制过程分为装配姿态感知以及装配姿态调整两个阶段:A software actuator control method for robot assembly attitude correction. For a multi-chamber pneumatic soft actuator that can deflect in any direction, a method combining a deflection direction vector and a deflection angle is used to represent the deformation of the soft actuator. ;According to the characteristics of air pressure control and elastic deformation of the pneumatic software actuator, the assembly attitude correction control process is divided into two stages: assembly attitude perception and assembly attitude adjustment:
在装配姿态感知阶段,将气动软体机器人视为一个弯曲形变传感器,根据各腔室的气压值可以得到软体形变的偏转方向向量,根据各腔室的气压值反馈以及理想气体状态方程计算软体形变过程的体积变化,进而根据弹性材料变形的曲率连续准则计算当前体积变化下的弯曲角;In the assembly attitude perception stage, the pneumatic soft robot is regarded as a bending deformation sensor. According to the air pressure value of each chamber, the deflection direction vector of the soft body deformation can be obtained, and the soft body deformation process can be calculated according to the air pressure value feedback of each chamber and the ideal gas state equation. The volume change of , and then calculate the bending angle under the current volume change according to the curvature continuity criterion of elastic material deformation;
在装配姿态调整阶段,将多腔室软体视为气动弯曲致动器,根据弹性体的Yeoh本构模型以及虚功原理可以得到气压做功与弯曲角度的关系,通过控制各腔室的气压使软体向指定的方向以指定的角度弯曲,从而实现装配姿态纠偏。In the assembly posture adjustment stage, the multi-chamber software is regarded as a pneumatic bending actuator. According to the Yeoh constitutive model of the elastic body and the principle of virtual work, the relationship between the air pressure work and the bending angle can be obtained. Bend in the specified direction and at the specified angle, so as to realize the assembly posture correction.
进一步,对于一个具有n个腔室的软体致动器,软体致动器控制方法包括以下步骤:Further, for a soft body actuator with n chambers, the soft body actuator control method includes the following steps:
步骤一:确定软体致动器各腔室的弯曲方向向量Step 1: Determine the bending direction vector of each chamber of the soft actuator
选择软体致动器的底部截面作为投影基准面,选取软体致动器底部中心点为原点,在投影基准面上建立平面坐标系,使气动软体致动器的各腔室控制气压相等,然后增加软体致动器的第i(1~n)腔室的控制气压使软体致动器产生弯曲,将气动致动器轴线在投影基准面投影方向上的单位向量作为第i腔室的弯曲方向向量;Select the bottom section of the soft actuator as the projection reference plane, select the bottom center point of the soft actuator as the origin, and establish a plane coordinate system on the projection reference plane to make the control air pressure of each chamber of the pneumatic soft actuator equal, and then increase The control air pressure of the ith (1~n) chamber of the soft actuator causes the soft actuator to bend, and the unit vector of the axis of the pneumatic actuator in the projection direction of the projection datum plane as the bending direction vector of the i-th chamber;
步骤二:采集标准装配过程的各腔室气压变化情况Step 2: Collect the air pressure changes of each chamber in the standard assembly process
在机器人完成标准装配的过程中,每间隔相同时间采集n·k组软体致动器各腔室的气压数据Pi,j,其中i=1~n代表软体致动器各不同腔室,j=1~k代表执行装配动作时采集得到的各腔室气压值序号;In the process of completing the standard assembly of the robot, the air pressure data P i,j of each chamber of the n·k groups of soft actuators are collected at the same time interval, where i=1~n represents the different chambers of the soft actuator, j =1~k represents the serial number of the air pressure value of each chamber collected when performing the assembly action;
步骤三:评判装配偏差状况Step 3: Evaluate assembly deviation
在机器人执行装配任务时,间隔与步骤一相同的时间采集软体致动器第i腔室不同时刻的气压反馈值P’i,j,比较Pi,j与P’i,j差值,若When the robot performs the assembly task, the air pressure feedback values P' i,j at different times of the ith chamber of the soft actuator are collected at the same interval as in step 1, and the difference between P i,j and P' i,j is compared.
|Pi,j-P’i,j|>δ (1)|P i,j -P' i,j |>δ (1)
则认为装配过程出现误差,记录当前各腔室气压值P’i并通知机器人停止装配动作退回到安全位置,其中δ为所设定的允许误差范围;Then it is considered that there is an error in the assembly process, the current air pressure value P' i of each chamber is recorded and the robot is notified to stop the assembly action and return to a safe position, where δ is the set allowable error range;
步骤四:出现装配误差时的软体姿态感知Step 4: Soft Body Pose Perception When Assembly Errors Occur
当装配过程产生误差时,软体致动器在外力作用下产生弯曲,其弯曲方向即为外力作用方向,根据力的相互作用,此时作用在软体致动器上的外力与各腔室气压对软体制动器的合力反向;根据步骤一中确定的各腔室弯曲方向向量以及弯曲情况下各腔室的气压值P’i,可以得到误差状况下各腔室气压对软体致动器合力的弯曲方向向量为When there is an error in the assembly process, the soft actuator will bend under the action of external force, and its bending direction is the direction of the external force. The resultant force of the software brake is reversed; according to the bending direction vector of each chamber determined in step 1 and the air pressure value P' i of each chamber under the bending condition, the bending of the resultant force of the software actuator by the air pressure of each chamber under the error condition can be obtained The direction vector is
则软体致动器在误差状况下的弯曲方向与此方向向量相反,即Then the bending direction of the soft actuator under the error condition is opposite to this direction vector, that is,
对于装配误差情况下的软体致动器弯曲形变过程作假设以简化分析,根据理想气体状态方程,气体体积V与气压P之间的关系为Assuming the bending deformation process of the soft body actuator under the condition of assembly error to simplify the analysis, according to the ideal gas state equation, the relationship between the gas volume V and the pressure P is:
其中n为气体物质量,R为气体常量,T为温度,则根据软体致动器弯曲形变前的空腔体积、气压,弯曲形变后的气压值以及公式(4)得到形变发生后的软体致动器气腔体积Vm;where n is the amount of gas substance, R is the gas constant, and T is the temperature. According to the cavity volume and air pressure before the bending deformation of the soft body actuator, the air pressure value after the bending deformation and the formula (4), the soft body actuator after the deformation is obtained. Actuator air cavity volume V m ;
进一步,根据软体致动器的截面形状得到弯曲形变之后的弯曲角θ与软体致动器体积Vm的关系Further, according to the cross-sectional shape of the soft actuator, the relationship between the bending angle θ after the bending deformation and the volume V m of the soft actuator is obtained
θ=f(Vm) (5)θ=f(V m ) (5)
则根据公式(3)提供的软体致动器弯曲方向以及公式(5)提供的弯曲角确定装配误差时的软体致动器装配姿态;Then, according to the bending direction of the soft actuator provided by the formula (3) and the bending angle provided by the formula (5), the assembly posture of the soft actuator when the assembly error is determined;
步骤五:软体致动器装配姿态调整Step 5: Adjustment of the assembly attitude of the software actuator
根据零件装配过程的接触力、配合类型分析以及步骤(4)中装配偏差时的装配姿态感知,得到当前误差状况下的正确装配姿态,即进行正确装配时的软体致动器的偏转方向向量以及偏转角度θc;According to the contact force in the part assembly process, the analysis of the fit type, and the perception of the assembly attitude during the assembly deviation in step (4), the correct assembly attitude under the current error condition is obtained, that is, the deflection direction vector of the software actuator when the correct assembly is performed. and the deflection angle θ c ;
由公式(2)中所表达的各腔室气压对软体致动器合力的弯曲方向向量,则有The bending direction vector of each chamber air pressure to the resultant force of the soft body actuator expressed in formula (2), then we have
其中Pin,i为各气腔输入气体压强;where P in,i is the input gas pressure of each air cavity;
基于步骤四中的假设以及公式(5)得到软体致动器弯曲角度为θc时各气腔体积Based on the assumption in step 4 and formula (5), the volume of each air cavity is obtained when the bending angle of the soft actuator is θc
Vm,i=gi(θc)(i=1~n) (7)V m,i = gi (θ c )(i=1~n) (7)
其中n为软体致动器气腔个数,gi()为弯曲角度θc与各气腔体积Vm,i之间的函数关系;where n is the number of air cavities of the soft actuator, g i () is the functional relationship between the bending angle θ c and the volume V m,i of each air cavity;
在软体致动器装配姿态调整过程中,压缩气体所做的功完全用于克服外部约束力以及橡胶材料内部应力所做的功,根据虚功原理,建立平衡表达式In the process of adjusting the assembly attitude of the soft actuator, the work done by the compressed gas is completely used to overcome the external restraint force and the work done by the internal stress of the rubber material. According to the principle of virtual work, a balance expression is established.
其中dVc,i为姿态调整前后气腔体积变化量,Vr,i为各气腔橡胶材料体积,Wou为克服外部约束所做的功,W为橡胶材料能量密度函数,采用二阶Yeoh本构模型应变能量密度函数,则Among them, dV c,i is the volume change of the air cavity before and after attitude adjustment, V r, i is the volume of the rubber material in each air cavity, W ou is the work done to overcome the external constraints, W is the energy density function of the rubber material, using the second-order Yeoh The constitutive model strain energy density function, then
其中,C10,C20为材料参数,λ为致动器轴向主伸长比;Among them, C 10 and C 20 are material parameters, and λ is the axial main elongation ratio of the actuator;
联立公式(6)~(9),代入各部分已知量求得软体致动器姿态纠偏控制所需的各气腔输入气体压强Pin,i,通过控制输入气体压强达到所需值即可调整气动软体致动器到正确装配姿态,并返回步骤三重新执行装配动作。Simultaneous formulas (6) to (9) are substituted into the known quantities of each part to obtain the input gas pressure P in,i of each air cavity required for the attitude correction control of the software actuator, and the required value is achieved by controlling the input gas pressure, namely Adjust the pneumatic software actuator to the correct assembly posture, and return to step 3 to perform the assembly action again.
所述第四步中,对于装配误差情况下的软体致动器弯曲形变过程,作以下假设以简化分析:In the fourth step, for the bending deformation process of the soft actuator under the condition of assembly error, the following assumptions are made to simplify the analysis:
4.1)气动软体致动器无径向膨胀,即截面外部轮廓尺寸不变;4.1) There is no radial expansion of the pneumatic software actuator, that is, the outer contour size of the section remains unchanged;
4.2)气动软体致动器气腔外壁的橡胶材料均匀变化;4.2) The rubber material on the outer wall of the air cavity of the pneumatic software actuator changes uniformly;
4.3)不考虑应变限制层对整体变形过程产生的力学影响;4.3) The mechanical influence of the strain limiting layer on the overall deformation process is not considered;
4.4)形变前后弹性基体的总体体积保持不变;4.4) The overall volume of the elastic matrix remains unchanged before and after deformation;
4.5)多腔室气动软体致动器在弯曲变形过程中曲率均匀变化。4.5) The curvature of the multi-chamber pneumatic soft actuator changes uniformly during the bending deformation process.
本发明的主要技术构思为:采用一种投影的方法将气动软体致动器的弯曲方向表示为各气腔气压合力的作用方向,利用气动软体执行器的各气腔气压反馈实现机器人自动化装配过程的装配姿态感知,通过对软体执行器的气压控制使气动软体以指定的方式发生弯曲形变从而达到装配姿态纠偏调整的目的。The main technical idea of the present invention is as follows: a projection method is used to express the bending direction of the pneumatic soft actuator as the action direction of the combined pressure of each air cavity, and the automatic assembly process of the robot is realized by using the air pressure feedback of each air cavity of the pneumatic soft actuator. Through the air pressure control of the software actuator, the pneumatic software can be bent and deformed in a specified way to achieve the purpose of rectifying and adjusting the assembly posture.
本发明的有益效果主要表现在:提出了一种应用于机器人装配姿态纠偏的软体致动器控制方法,相较于其他的装配姿态识别纠偏,能降低硬件成本、提高异构非刚性零件机器人装配的效率以及适用性。The beneficial effects of the present invention are mainly manifested in that a software actuator control method applied to robot assembly posture correction is proposed, which can reduce hardware cost and improve robot assembly of heterogeneous non-rigid parts compared with other assembly posture recognition and correction. efficiency and applicability.
附图说明Description of drawings
图1为机器人装配姿态纠偏的软体致动器控制方法的流程图。FIG. 1 is a flowchart of a software actuator control method for robot assembly posture correction.
图2为软体气动致动器应用示例。Figure 2 shows an example of a soft pneumatic actuator application.
图3为图2的A-A截面图,其中,1为末端执行器底板,2为可动顶珠安装杆,3为顶珠安装杆,4为三腔室柱形气动软体装置,5为夹持机构安装杆,6为固定顶珠,7为顶紧气缸,8为气缸安装板,9为顶珠弹簧,10为夹持机构固定板,11为夹持机构。Fig. 3 is the A-A sectional view of Fig. 2, wherein 1 is the end effector base plate, 2 is the movable top ball mounting rod, 3 is the top ball mounting rod, 4 is the three-chamber cylindrical pneumatic software device, and 5 is the clamping mechanism installation Rod, 6 is the fixed top ball, 7 is the top-tightening cylinder, 8 is the cylinder mounting plate, 9 is the top ball spring, 10 is the fixing plate of the clamping mechanism, and 11 is the clamping mechanism.
图4为软体气动致动器偏转示意图。Figure 4 is a schematic diagram of the deflection of the soft pneumatic actuator.
具体实施方式Detailed ways
下面结合附图对本发明作进一步描述。The present invention will be further described below in conjunction with the accompanying drawings.
参照图1~图4,一种机器人装配姿态纠偏的软体致动器控制方法,对于能向任意方向偏转的多腔室气动软体致动器,采用一种结合偏转方向向量以及偏转角度的方法表示软体致动器的变形情况。根据气动软体致动器气压控制以及弹性变形的特点,将装配姿态纠偏控制过程分为装配姿态感知以及装配姿态调整两个阶段。在装配姿态感知阶段,将气动软体机器人视为一个弯曲形变传感器,根据各腔室的气压值可以得到软体形变的偏转方向向量,根据各腔室的气压值反馈以及理想气体状态方程计算软体形变过程的体积变化,进而根据弹性材料变形的曲率连续准则计算当前体积变化下的弯曲角。在装配姿态调整阶段,将多腔室软体视为气动弯曲致动器,根据弹性体的Yeoh本构模型以及虚功原理可以得到气压做功与弯曲角度的关系,通过控制各腔室的气压可以使软体向指定的方向以指定的角度弯曲,从而实现装配姿态纠偏。Referring to Figures 1 to 4, a software actuator control method for robot assembly posture correction, for multi-chamber pneumatic soft actuators that can deflect in any direction, a method combining deflection direction vector and deflection angle is used to represent Deformation of soft body actuators. According to the characteristics of air pressure control and elastic deformation of the pneumatic software actuator, the assembly attitude correction control process is divided into two stages: assembly attitude perception and assembly attitude adjustment. In the assembly attitude perception stage, the pneumatic soft robot is regarded as a bending deformation sensor. According to the air pressure value of each chamber, the deflection direction vector of the soft body deformation can be obtained, and the soft body deformation process can be calculated according to the air pressure value feedback of each chamber and the ideal gas state equation. The volume change of , and then calculate the bending angle under the current volume change according to the curvature continuity criterion of elastic material deformation. In the assembly attitude adjustment stage, the multi-chamber software is regarded as a pneumatic bending actuator. According to the Yeoh constitutive model of the elastic body and the principle of virtual work, the relationship between the air pressure work and the bending angle can be obtained. The software body is bent in the specified direction and at the specified angle, so as to realize the correction of the assembly posture.
以一个应用了三腔室软体气动执行器(附图2中零件4)的刚软复合机器人末端执行器为对象对本发明作进一步描述,软体致动器控制方法包括以下步骤:The present invention is further described with a rigid-soft composite robot end-effector using a three-chamber soft-body pneumatic actuator (part 4 in FIG. 2 ) as an object, and the soft-body actuator control method includes the following steps:
步骤一:确定软体致动器各腔室的弯曲方向向量Step 1: Determine the bending direction vector of each chamber of the soft actuator
选择软体致动器的底部截面作为投影基准面,选取软体致动器底部中心点为原点,在投影基准面上建立平面坐标系。使气动软体致动器的各腔室控制气压相等,然后增加软体致动器的某一腔室的控制气压使软体致动器产生弯曲(如图3所示),由于该三气腔软体气动执行器各气腔以120°为间隔排列,其各气腔在投影基准面上的单位向量分别为(如图3所示)。Select the bottom section of the soft actuator as the projection datum, select the bottom center point of the soft actuator as the origin, and establish a plane coordinate system on the projection datum. Make the control air pressure of each chamber of the pneumatic soft actuator equal, and then increase the control air pressure of a chamber of the soft actuator to bend the soft actuator (as shown in Figure 3). Each air cavity of the actuator is arranged at an interval of 120°, and the unit vector of each air cavity on the projection datum plane respectively (As shown in Figure 3).
步骤二:采集标准装配过程的各腔室气压变化情况Step 2: Collect the air pressure changes of each chamber in the standard assembly process
在机器人完成标准装配的过程中,每间隔相同时间采集n·k组软体致动器各腔室的气压数据Pi,j。其中i=1~3代表软体致动器各不同腔室,j=1~k代表执行装配动作时采集得到的各腔室气压值序号。In the process of completing the standard assembly of the robot, the air pressure data P i,j of each chamber of the n·k groups of soft actuators are collected at the same time interval. Wherein i=1-3 represent different chambers of the soft actuator, and j=1-k represent the serial numbers of the air pressure values of the chambers collected when performing the assembly action.
步骤三:评判装配偏差状况Step 3: Evaluate assembly deviation
在机器人执行装配任务时,间隔与步骤一相同的时间采集软体致动器第i腔室不同时刻的气压反馈值P’i,j,比较Pi,j与P’i,j差值,若When the robot performs the assembly task, the air pressure feedback values P' i,j at different times of the ith chamber of the soft actuator are collected at the same time interval as in step 1, and the difference between P i,j and P' i,j is compared.
|Pi,j-P’I,j|>0.1Pa (1)|P i,j -P' I,j |>0.1Pa (1)
则认为装配过程出现误差,记录当前各腔室气压值P’i并通知机器人停止装配动作退回到安全位置。Then it is considered that there is an error in the assembly process, the current air pressure value P' i of each chamber is recorded and the robot is notified to stop the assembly action and return to a safe position.
步骤四:出现装配误差时的软体姿态感知Step 4: Soft Body Pose Perception When Assembly Errors Occur
当装配过程产生误差时,软体致动器在外力作用下产生弯曲(如图3所示),其弯曲方向即为外力作用方向,根据力的相互作用,此时作用在软体致动器上的外力与各腔室气压对软体制动器的合力反向。根据步骤一中确定的各腔室弯曲方向向量以及弯曲情况下各腔室的气压值Pi,可以得到误差状况下各腔室气压对软体致动器合力的弯曲方向向量为When an error occurs in the assembly process, the soft actuator bends under the action of external force (as shown in Figure 3), and its bending direction is the direction of the action of the external force. The external force is opposite to the resultant force of the air pressure of each chamber on the soft brake. According to the bending direction vector of each chamber determined in step 1 and the air pressure value P i of each chamber under the bending condition, the bending direction vector of each chamber air pressure to the resultant force of the soft actuator under the error condition can be obtained as:
则软体致动器在误差状况下的弯曲方向与此方向向量相反,即Then the bending direction of the soft actuator under the error condition is opposite to this direction vector, that is,
对于装配误差情况下的软体致动器弯曲形变过程,可以作以下假设以简化分析:For the bending deformation process of the soft-body actuator under the condition of assembly error, the following assumptions can be made to simplify the analysis:
4.1)气动软体致动器无径向膨胀,即截面外部轮廓尺寸不变;4.1) There is no radial expansion of the pneumatic software actuator, that is, the outer contour size of the section remains unchanged;
4.2)气动软体致动器气腔外壁的橡胶材料均匀变化;4.2) The rubber material on the outer wall of the air cavity of the pneumatic software actuator changes uniformly;
4.3)不考虑应变限制层对整体变形过程产生的力学影响;4.3) The mechanical influence of the strain limiting layer on the overall deformation process is not considered;
4.4)形变前后弹性基体的总体体积保持不变;4.4) The overall volume of the elastic matrix remains unchanged before and after deformation;
4.5)多腔室气动软体致动器在弯曲变形过程中曲率均匀变化。4.5) The curvature of the multi-chamber pneumatic soft actuator changes uniformly during the bending deformation process.
基于以上假设,根据理想气体状态方程,气体体积V与气压P之间的关系为Based on the above assumptions, according to the ideal gas equation of state, the relationship between the gas volume V and the gas pressure P is
其中n为气体物质量,R为气体常量,T为温度。则可以根据软体致动器弯曲形变前的空腔体积、气压,弯曲形变后的气压值以及公式(4)得到形变发生后的软体致动器气腔体积Vm。进一步,基于以上假设4.1),4.4),4.5)根据软体致动器的截面形状得到弯曲形变之后的弯曲角θ与软体致动器体积Vm的关系where n is the amount of gas substance, R is the gas constant, and T is the temperature. Then, the air cavity volume V m of the soft actuator after the deformation can be obtained according to the cavity volume and air pressure before the bending deformation of the soft actuator, the air pressure value after the bending deformation and the formula (4). Further, based on the above assumptions 4.1), 4.4), 4.5) according to the cross-sectional shape of the soft actuator, the relationship between the bending angle θ after the bending deformation and the volume V m of the soft actuator is obtained
θ=f(Vm) (5)θ=f(V m ) (5)
则可以根据公式(3)提供的软体致动器弯曲方向以及公式(5)提供的弯曲角确定装配误差时的软体致动器装配姿态。Then, according to the bending direction of the soft actuator provided by the formula (3) and the bending angle provided by the formula (5), the assembly posture of the soft actuator during the assembly error can be determined.
步骤五:软体致动器装配姿态调整Step 5: Adjustment of the assembly attitude of the software actuator
根据零件装配过程的接触力、配合类型分析以及步骤(4)中装配偏差时的装配姿态感知,可以得到当前误差状况下的正确装配姿态,即进行正确装配时的软体致动器的偏转方向向量以及偏转角度θc。According to the contact force in the part assembly process, the analysis of the fit type and the perception of the assembly attitude during the assembly deviation in step (4), the correct assembly attitude under the current error condition can be obtained, that is, the deflection direction vector of the soft actuator during correct assembly. and the deflection angle θ c .
由公式(2)中所表达的各腔室气压对软体致动器合力的弯曲方向向量,则有The bending direction vector of each chamber air pressure to the resultant force of the soft actuator expressed in formula (2), then we have
其中Pin,i为各气腔输入气体压强。where P in,i is the input gas pressure of each air cavity.
基于步骤四中的假设4.1)~4.5)以及公式(5)可以得到软体致动器弯曲角度为θc时各气腔体积Based on the assumptions 4.1)~4.5) and formula (5) in step 4, the volume of each air cavity can be obtained when the bending angle of the soft actuator is θc
Vm,i=gi(θc)(i=1~3) (7)V m,i = gi (θ c )(i=1~3) (7)
其中gi()为弯曲角度θc与各气腔体积Vm,i之间的函数关系;where g i () is the functional relationship between the bending angle θ c and the volume V m,i of each air cavity;
在软体致动器装配姿态调整过程中,压缩气体所做的功完全用于克服外部约束力以及橡胶材料内部应力所做的功,根据虚功原理,建立平衡表达式In the process of adjusting the assembly attitude of the soft actuator, the work done by the compressed gas is completely used to overcome the external restraint force and the work done by the internal stress of the rubber material. According to the principle of virtual work, a balance expression is established.
其中dVc,i为姿态调整前后气腔体积变化量,Vr,i为各气腔橡胶材料体积,Wou为克服外部约束所做的功,W为橡胶材料能量密度函数,采用二阶Yeoh本构模型应变能量密度函数,则Among them, dV c,i is the volume change of the air cavity before and after attitude adjustment, V r, i is the volume of the rubber material in each air cavity, W ou is the work done to overcome the external constraints, W is the energy density function of the rubber material, using the second-order Yeoh The constitutive model strain energy density function, then
其中,C10,C20为材料参数由橡胶材料取C10=0.11MPa,C20=0.02MPa,λ为致动器轴向主伸长比。Among them, C 10 and C 20 are material parameters, and C 10 =0.11MPa and C 20 =0.02MPa are taken from the rubber material, and λ is the axial main elongation ratio of the actuator.
在所应用的示例中该三气腔气动致动器固连在夹钳安装杆上,且所固连的夹钳安装杆受弹簧弹力约束(如图2所示),因而在姿态调整过程中有In the applied example, the three-air-chamber pneumatic actuator is fixed on the clamp mounting rod, and the fixed clamp mounting rod is constrained by the spring force (as shown in Figure 2), so during the attitude adjustment process Have
其中,m为弹簧个数,ki,li分别为各个顶紧弹簧的弹簧系数以及姿态调整时的形变量,G和h分别为固连在软体致动器上的物体重量及其在姿态调整过程中的位移。Among them, m is the number of springs, k i , li are the spring coefficients of each tensioning spring and the deformation amount during attitude adjustment, respectively, G and h are the weight of the object fixed on the soft actuator and its attitude Displacement during adjustment.
联立公式(6)~(10),代入各部分已知量求得软体致动器姿态纠偏控制所需的各气腔输入气体压强Pin,i,通过控制输入气体压强达到所需值即可调整气动软体致动器到正确装配姿态。Simultaneous formulas (6) to (10) are substituted into the known quantities of each part to obtain the input gas pressure P in,i of each air cavity required for the attitude correction control of the software actuator, and the required value is achieved by controlling the input gas pressure, namely Adjustable pneumatic soft body actuator to the correct assembly posture.
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