一种并联机器人误差综合补偿方法

针对并联机器人轨迹规划和轨迹跟踪过程中,同时存在机构误差引起的期望轨迹与理想轨迹之间的偏差和非线性摩擦、负载变化等扰动因素引起的动态误差,提出一种并联机器人误差综合补偿方法:在轨迹规划过程中,基于并联机器人位姿误差模型将位姿误差补偿转化为驱动杆参数组合优化问题,进而利用粒子群算法寻优驱动杆参数,修正并联机器人期望轨迹;在轨迹跟踪过程中,设计基于自适应迭代学习控制算法的动态误差补偿策略,实现对期望轨迹的有效跟踪。在Stewart平台下基于ADAMS和Matlab进行仿真试验,在轨迹规划和轨迹跟踪过程中,分别修正期望轨迹偏差并补偿轨迹跟踪动态误差,实现并联机器人误差综合补偿。进一步,基于混联机床进行工件加工试验,验证方法对于提高并联机器人工作精度的有效性。     

2-RPaRSS并联操作手运动副间隙误差分析及补偿

针对新型3T1R并联操作手2-RPaRSS存在运动副间隙引起的定位偏差,造成操作手的实际轨迹与理论轨迹不吻合的问题,提出了一种基于自适应混合粒子群优化(AHPSO）算法的轨迹修正方法。建立操作手包含的各类运动副误差模型,在模型中将间隙误差完全等效成杆长误差;根据逆运动学方程建立并联操作手2-RPaRSS的位姿误差模型,得到关于输入、输出的微分关系式,并引入驱动杆输入角补偿量;利用粒子群优化(PSO)算法对补偿量寻优,将间隙误差补偿问题转化为求适应度极小值问题;通过混合权值自适应调整、学习因子自适应调节、混沌扰动范围自适应调节策略改进了PSO算法,得到AHPSO算法。仿真结果表明AHPSO算法性能优良,具有更好的收敛性和稳定性,对并联操作手运动副间隙误差的补偿是一种有效方法,补偿后定位精度得到了明显改善。     

立式加工中心空间几何误差辨识解析及定位误差补偿研究

为大幅提升立式加工中心加工精度,满足当代数控机床对高精度的需求,针对立式加工中心3个运动轴,深入分析了其轴向运动空间几何误差,提出了可有效辨识运动轴轴向运动空间6项几何误差的辨识方法.建立了空间6项几何误差辨识模型,并针对关联轴联动垂直度误差进行了有效分析,建立了垂直度误差辨识解析模型.同时,针对3个独立运动轴轴向定位...     

BP神经网络补偿并联机器人定位误差

为减小机构末端定位误差,提高机器人运动精度,分析了所开发的6-DOF精密并联机器人末端位姿的误差来源及以往误差补偿方法的局限性。通过实际测量末端位姿,在精密定位的局部工作空间内,提出了基于BP神经网络的机器人关节空间误差补偿方法。确定了BP神经网络模型,建立了误差补偿的数据样本,并对数据样本进行了标准化,通过实验对比的方法确定了隐层神经元的个数,同时对网络的推广能力进行了验证。经过误差补偿,6-DOF精密并联机器人的平移定位误差下降了80%,转角定位误差下降了60%。该实验结果表明,基于BP神经网络的误差补偿方法对机器人局部工作空间的补偿具有明显的效果,满足精密并联机器人工作的精度要求。     

运用多体理论和神经网络的机床热误差补偿

利用多体系统理论,在典型体的坐标变换中,加入了位移误差矢量和位置误差矢量,形成了具有普遍意义的坐标变换,根据机床拓扑结构的低序体阵列,建立了机床通用误差计算模型。同时,对机床的主轴热变形和床身热变形进行了建模和辨识,通过5个温度敏感点的监测,用常规的5点法对机床主轴热变形进行研究,运用神经网络方法(RBF)建立温度与变形参数模型,将误差参数集成到通用误差模型中。在Makino四轴加工中心进行试验研究,设计出一套多个凸台的空间曲面,比较了不同凸台上的4个点补偿前后空间轮廓数据,误差减少60%,补偿效果显著。     

A method for off-line compensation of cutting force-induced errors in robotic machining by tool path modification

Industrial robots are promising cost-effective and flexible alternatives for multi-axis milling applications in machining of complex parts of light materials with lower tolerances, having freeform surfaces. As it is well-known, the poor accuracy, stiffness, and the complexity of programming are the most important limiting factors for wider adoption of robotic machining in machine shops. The paper presents the developed method for off-line compensation of machining robot tool tip static displacements as a dominant part of cutting force-induced errors. The developed method is based on modification of programmed trajectory in G-code. Off-line modification of programmed trajectory is performed according to the predicted static tool tip displacements calculated based on developed robot compliance model and cutting forces predicted by mechanistic model. The obtained experimental results show the relevance of developed method since the machining errors could be significantly reduced. This allows the desired accuracy of robot machining to converge towards nominal specifications.     

Critical success factors for Kaizen implementation in manufacturing industries in Mexico

To machine a noncoaxial nonaxisymmetric aspheric lens, a new parallel grinding method that employs a fixture with an adjustable gradient (AGF) is proposed. The AGF is developed for a three-axis computer numerically controlled grinding machine. The grinding method is presented according to the proposed grinding system. To ensure the machining accuracy, the main machining errors and the compensation algorithm are discussed for the grinding method using the AGF. Simulation results show that the AGF rotation errors are crucial factors affecting the profile error of the machined workpiece. Experimental results show that employing the compensation algorithm increases machining accuracy.     

Modeling and compensation of geometric errors in simultaneous cutting using a multi-spindle machine tool

A volumetric error compensation method for a machining center that has multiple cutting tools operating simultaneously has been developed. Due to axis sharing, the geometric errors of multi-spindle, concurrent cutting processes are characterized by a significant coupling of error components in each cutting tool. As a result, it is not possible to achieve exact volumetric error compensation for all axes. To minimize the overall volumetric error in simultaneous cutting, a method to determine compensation amount using weighted least squares has been proposed. This method also allows tolerance distribution of machining accuracy for different surfaces of a workpiece. A geometric error model has been developed using an arch-type, multi-spindle machine tool, and the error compensation simulation results based on this model are presented. The simulation results demonstrated effectiveness of the proposed error compensation algorithm for use with multi-spindle simultaneous cutting applications.     

工业机器人定位误差在线自适应补偿

受工业机器人本体结构几何及非几何误差因素的影响,机器人执行末端的实际运动轨迹与其理论规划轨迹往往不一致,这严重限制了机器人在加工领域的拓展应用。另外,通过研究发现机器人除在工作空间上定位误差等级存在差异分布外,在服役时间上随着机器人工作性能的退化也会显著恶化其定位精度。为解决该问题,提出了一种基于定长记忆窗增量学习的机器人定位误差在线自适应补偿方法。在该方法中,首先定量分析机器人定位误差与位姿的相关关系,将工作空间划分为多个位姿区块并创建校准样本库,建立了位姿映射模型的自适应优化机制以克服空间中误差等级差异分布的问题;然后设计了定长记忆窗增量学习算法,克服神经网络模型的灾难性遗忘缺陷,并平衡了在线模式下建立机器人新、旧位姿数据映射关系的精度和效率,解决了机器人性能退化加剧定位误差影响位姿映射模型适用性的问题,从而确保算法的补偿精度稳定在目标精度水平线以上;最后,利用St?ubli机器人和UR机器人对所提方法进行了精度在线补偿实验验证。实验结果表明该方法可将St?ubli机器人的定位误差从0.85 mm降至0.13 mm,将UR机器人的定位误差从2.11 mm降至0.17 mm,明显提高...     

Compliance error calibration for robot based on statistical properties of single joint

This paper focuses on compliance error calibration. Because kinematic parameter error is the main error of a robot, we should first compensate for it. And because the compliance errors of some joints are too small, not all joints should be compensated for he compliance errors. We rotate the single joint along its axis locked other joints to obtain the statistical properties of all joints. The compliance errors are induced by gravity and elastostatic. This paper presents a mapping from the compliance error onto the joint variable vector; on the other hand, it utilized a method to transform the robot compliance error from the laser tracker system frame to the robot frame. The main attention is paid to analyze each joint compliance error using a single axis rotating by laser tracking system. To compensate the compliance error, we divided this problem into three sequential subtasks: identifying the robot compliance matrix, computing the compliance error of gravity without external loading, compensating compliance errors of elastostatic error on external loading.

     

曲轴非圆磨削运动中动态误差及补偿

动态误差是影响曲轴非圆磨削加工精度的主要因素,动态误差补偿可实时修正磨削过程的各种误差,保证补加工工件的加工精度.通过分析曲轴非圆磨削过程中动态误差产生的原因,对非圆磨削中数控系统的伺服滞后误差进行了定量分析,并对以恒线速度为基础的运动模型进行了仿真计算,计算结果表明,伺服滞后误差严重影响加工精度,且数控系统的调整只能减少伺服滞后误差,不能消除伺服滞后误差.提出了采用神经网络预测曲轴非圆磨削过程的误差,并对补偿数据进行必要的延迟处理后进行相应的补偿,以解决在线测量的角度偏差.通过离线测量加工试验表明,采用径向基函数网络较好地解决了曲轴非圆磨削过程中的误差补偿.     

An integrated error compensation method based on on-machine measurement for thin web parts machining

Thin webs are widely used in the aerospace industry for the advantages of compact structure, light weight and high strength-to-weight ratio. Due to its low rigidity, serious machining error may occur, therefore, Finite Element method and mechanism analysis are usually utilized to modeling its deformation. However, they are very time-consuming and only suitable for elastic deformation error. In this study, an integrated error compensation method is proposed based on on-machine measurement (OMM) inspection and error compensation. The OMM inspection is firstly applied to measure the comprehensive machining errors. The Hampel filtering is then used to eliminate outliers, followed by the triangulation-based cubic interpolation as well as a machine learning algorithm which are used to establish the compensation model. At last, the real time compensation of high-density cutting points is realized by developing the compensation system based on External Machine Zero Point Shift (EMZPS) function of machine tool. Three sets of machining experiment of a typical thin web part are conducted to validate the feasibility and efficiency of the proposed method. Experiment results revealed that after compensation, the comprehensive machining errors were controlled under different machining conditions and 58.1%, 68.4% and 62.6% of the machining error ranges were decreased, respectively. This method demonstrates immense potential for further applications in efficiency and accuracy improvement of thin-walled surface parts.     

机器人手臂误差分析及误差补偿

本文对机器人手臂的误差和影响误差的因素作了分析,建立起机器人夹持器(手)的运动误差与各种原始误差的函数式,文章着重于推导作为误差传递函数的各种偏导数矩阵,得到了统一的表达式。这种形式特别适合电子计算机计算。文章最后讨论了误差补偿方法和导出了补偿计算的公式。     

Prioritization analysis and compensation of geometric errors for ultra-precision lathe based on the random forest methodology

Geometric errors remarkably affect the dimensional accuracy of parts manufactured by ultra-precision machining. It is vital to consider the workpiece shape for the identification of crucial error types. This research investigates the prioritization analysis of geometric errors for arbitrary curved surfaces by using random forest. By utilizing multi-body system (MBS) theory, a volumetric error model is initially established to calculate tool position errors. An error dataset, which contains information of 21 geometric errors, workpiece shape, and dimensional errors, is then constructed by discretizing the workpiece surface along the tool path. The problem of identifying crucial geometric errors is translated into another problem of feature selection by applying random forest on the error dataset. Moreover, the influence extent of each geometric error on the dimensional accuracy of four typical curved surfaces is analyzed through numerical simulation, and crucial geometric errors are identified based on the proposed method. Then, an iterative method of error compensation is proposed to verify the reasonability of the determined crucial geometric errors by specifically compensating them. Finally, under compensated and uncompensated conditions, two sinusoidal grid surfaces are machined on an ultra-precision lathe to validate the prioritization analysis method. Findings show that the machining accuracy of the sinusoidal grid surface with crucial geometric error compensation is better than that without compensation.     

工件分特征下的五轴数控机床关键几何误差分析与补偿方法

提出了工件分特征下的五轴数控机床关键几何误差分析与补偿方法,将复杂工件进行特征分解,通过灵敏度分析辨识工件分特征下的关键几何误差并补偿,从而提高工件整体加工精度。以某一复杂工件为例,首先,将其分解为平面、斜面、圆柱和圆锥台四个典型特征;然后,基于灵敏度分析分别辨识出各典型特征对应的关键几何误差;最后,分特征地进行误差补偿。在AC双转台五轴数控机床上进行了实验验证,实验结果表明,辨识得到的关键几何误差灵敏度系数之和占比均大于90%,补偿后工件四个典型特征的加工精度提高了20%~30%。研究结果表明,所提方法能有效辨识不同工件分特征下的关键几何误差,从而提高复杂工件的加工精度。     

Prediction and compensation of machining geometric errors of five-axis machining centers with kinematic errors

Kinematic errors due to geometric inaccuracies in five-axis machining centers cause deviations in tool positions and orientation from commanded values, which consequently affect geometric accuracy of the machined surface. As is well known in the machine tool industry, machining of a cone frustum as specified in NAS979 standard is a widely accepted final performance test for five-axis machining centers. A critical issue with this machining test is, however, that the influence of the machine's error sources on the geometric accuracy of the machined cone frustum is not fully understood by machine tool builders and thus it is difficult to find causes of machining errors. To address this issue, this paper presents a simulator of machining geometric errors in five-axis machining by considering the effect of kinematic errors on the three-dimensional interference of the tool and the workpiece. Kinematic errors of a five-axis machining center with tilting rotary table type are first identified by a DBB method. Using an error model of the machining center with identified kinematic errors and considering location and geometry of the workpiece, machining geometric error with respect to the nominal geometry of the workpiece is predicted and evaluated. In an aim to improve geometric accuracy of the machined surface, an error compensation for tool position and orientation is also presented. Finally, as an example, the machining of a cone frustum by using a straight end mill, as described in the standard NAS979, is considered in case studies to experimentally verify the prediction and the compensation of machining geometric errors in five-axis machining.     

复杂曲面零件在线检测与误差补偿方法

复杂曲面零件的高精度加工与精密检测一直是数字化制造领域的研究热点。为提高复杂曲面零件的加工精度、检测精度,提出一种集数控机床在线检测、加工误差分解与补偿加工为一体的集成化方法。介绍集成化在线检测方法及补偿系统的基本原理,分析数控加工后曲面零件测点数据的误差组成,提出一种基于空间统计分析的加工误差分解方法,在建立基于B样条曲面的确定性曲面回归模型的基础上,对回归模型残差进行空间独立性分析,分解出系统误差和随机误差,进而通过数控代码的修改,实现零件加工过程的系统误差补偿。列举一个曲面零件的加工与检测实例,进行方法有效性验证。通过加工工件的在线检测、误差分解、代码修改及补偿加工等环节,实例零件的加工精度有了大幅提高,而该系统的检测精度也通过与三坐标测量机(Coordinate measuring machine, CMM)检验结果的对比,得到了有效验证。     

Offline and online strategies to improve pose accuracy of a Stewart Platform using indoor-GPS

The pose accuracy of a robot manipulator may be improved by assessing and correcting systematic errors. Both offline and online strategies can be considered. To date, there has not been a solution for the online pose error correction of parallel manipulators. Moreover, offline strategies using indoor-GPS as reference measurement system have not yet been investigated. In this paper an optimization-based kinematic calibration method and an online correction technique are proposed and implemented for a low-cost Stewart Platform. In both cases, an indoor-GPS system was used as reference measurement equipment. Performance of both strategies are compared to a kinematic calibration method based on direct parameter measurement. Pose errors are evaluated for each strategy using a robotic total station. Performance of the optimization-based calibration and the online correction technique were similar and better than the direct parameter measurement calibration. Both techniques resulted in average pose errors less or equal to 0.3 mm and 0.05°. The proposed strategies may be adapted to other similar parallel manipulators and are applicable to large sized equipment.     

Motion error compensation of multi-legged walking robots

Existing errors in the structure and kinematic parameters of multi-legged walking robots,the motion trajectory of robot will diverge from the ideal sports requirements in movement.Since the existing error compensation is usually used for control compensation of manipulator arm,the error compensation of multi-legged robots has seldom been explored.In order to reduce the kinematic error of robots,a motion error compensation method based on the feedforward for multi-legged mobile robots is proposed to improve motion precision of a mobile robot.The locus error of a robot body is measured,when robot moves along a given track.Error of driven joint variables is obtained by error calculation model in terms of the locus error of robot body.Error value is used to compensate driven joint variables and modify control model of robot,which can drive the robots following control model modified.The model of the relation between robot’s locus errors and kinematic variables errors is set up to achieve the kinematic error compensation.On the basis of the inverse kinematics of a multi-legged walking robot,the relation between error of the motion trajectory and driven joint variables of robots is discussed.Moreover,the equation set is obtained,which expresses relation among error of driven joint variables,structure parameters and error of robot’s locus.Take MiniQuad as an example,when the robot MiniQuad moves following beeline tread,motion error compensation is studied.The actual locus errors of the robot body are measured before and after compensation in the test.According to the test,variations of the actual coordinate value of the robot centroid in x-direction and z-direction are reduced more than one time.The kinematic errors of robot body are reduced effectively by the use of the motion error compensation method based on the feedforward.     

基于球杆仪检测信息的并联机构运动学标定

由于并联构型装备难于实现全闭环反馈控制,使运动学标定成为一项具有显著经济价值并能非常有效提高并联构型装备精度的手段,运动学标定通常包括误差建模、测量、辨识和补偿4个环节。基于以上因素,以5自由度混联机械手TriVariant为对象,研究一种基于球杆仪检测信息的运动学标定方法。首先建立球杆仪测量值与影响末端可补偿位姿误差的几何误差源的映射关系,并给出可辨识条件。在此基础上,以误差参数辨识矩阵条件数为评价指标,探讨合理设置球杆仪安装位置和数目的方法。最后,计算机仿真和试验验证了所提出方法的可行性和有效性,并指出仍然需要解决的若干问题。