Accuracy analysis and synthesis of 3-RPS parallel machine based on orthogonal design
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摘要: 为了分析3-RPS并联机构在整个工作空间内各个位姿参数对位姿误差的影响程度,并且使该机构在整个工作空间内都满足精度要求,利用正交设计的思想对该机构进行了精度分析与精度综合.根据正交设计的思想,把该机构的3个位姿参数看成对位姿误差有影响的3个因素,用位姿误差的极差值作为敏感系数,通过极差分析得到了位姿参数对位姿误差的影响程度.以敏感系数的比值为依据合理划分各个因素的水平数,使排列的正交表为精度综合提供更加合理的位姿,对表中的各个位姿进行精度综合,得到了给定精度要求下的21项几何原始误差的公差值.结果表明:用正交设计的思想可以分析清楚位姿参数对位姿误差的影响程度,精度综合结果使机构在整个工作空间内满足精度要求,为物理样机的研制提供了参考.Abstract: To analyze the influence degree of pose parameters on pose errors, and to guarantee the accuracy requirements of 3-RPS parallel mechanism in the whole workspace, the orthogonal design method was adopted for accuracy analysis and accuracy synthesis. According to the orthogonal design method, three pose parameters of 3-RPS parallel mechanism were considered as three factors for pose errors, and the pose error values from range analysis were introduced as error sensitive indexes. The influence degree of pose parameters on pose errors were obtained through range analysis. The factors were divided into reasonable levels based on the ratio of error sensitive indexes, and then more reasonable poses from orthogonal table were provided for accuracy synthesis. Accuracy synthesis was carried out according to the orthogonal table and tolerance values of 21 geometry original errors were derived according to accuracy requirements. The result shows that: By applying the orthogonal design method in accuracy analysis and synthesis, the influence degree of pose parameters on pose errors was analyzed completely, the accuracy synthesis results ensure the accuracy requirements in the whole workspace and a reference was provided for the development of prototype.
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Key words:
- parallel mechanism /
- accuracy analysis /
- sensitive coefficient /
- accuracy synthesis /
- orthogonal design
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[1] Chanal H,Duc E,Hascoet J Y,et al.Reduction of a parallel kinematics machine tool inverse kinematics model with regard to machining behaviour[J].Mechanism and Machine Theory,2009,44(7):1371-1385 [2] Weck M,Staimer D.Accuracy issues of parallel kinematic machine tools[J].Multi-Body Dyn,2002,216(1):51-57 [3] 祃琳,黄田,王洋,等.面向制造的并联机床精度设计[J].中国机械工程,1999,10(10):1114-1118 Ma Lin,Huang Tian,Wang Yang,et al.Accuracy design of parallel machine tool[J].China Mechanical Engineering,1999,10(10):1114-1118(in Chinese) [4] Rout B K,Mittal R K.Optimal manipulator parameter tolerance selection using evolutionary optimization technique[J].Engineering Applications of Artificial Intelligence,2008,21(4):509-524 [5] 洪林,赵新华,张策,等.并联6-SPS机构位姿误差分析[J].天津理工学院学报,2004,20(2):34-36 Hong Lin,Zhao Xinhua,Zhang Ce,et al.Pose errors analysis of 6-SPS stewart platform[J].Journal of Tianjin Institute of Technology,2004,20(2):34-36(in Chinese) [6] Wang S M,Kornel F E.Error model and accuracy analysis of a six-DOF stewart platform[J].Journal of Manufacturing Science and Engineering,2002,124(2):286-295 [7] 赵永杰,赵新华,洪林,等.6-SPS并联机器人单支链精度综合算法[J].天津理工学院学报,2002,18(4):28-31 Zhao Yongjie,Zhao Xinhua,Hong Lin,et al.A kind of algorithm for the accuracy synthesis of the 6-SPS parallel manipulator[J].Journal of Tianjin Institute of Technology,2002,18(4):28-31(in Chinese) [8] Huang T,Whitehouse D J,Chetwynd D G.A unified error model for tolerance design,assembly and error compensation of 3-DOF parallel kinematic machines with parallelogram struts[J].Annals of CIRP,2002,51(1):299-303 [9] Han S K,Yong J C.The kinematic error bound analysis of the stewart platform[J].Journal of Robotic Systems,2000,17(1):63-73 [10] Huang T,Chetwynd D G,Mei J P,et al.Tolerance design of a 2-DOF overconstrained translational parallel robot[J].Transactions on Robotics,2006,22(1):167-172 [11] Rout B K,Mittal R K.Tolerance design of manipulator parameters using design of experiment approach[J].Struct Multidisc Optim,2007,34(5):445-462 [12] Rout B K,Mittal R K.Tolerance design of robot parameters using Taguchi method[J].Mechanical Systems and Signal Processing,2006,20(8):1832-1852 [13] 王伟,贠超.机器人机构精度综合的正交试验法[J].机械工程学报,2009,45(11):18-24 Wang Wei,Yun Chao.Orthogonal experimental design to synthesize the accuracy of robotic mechanism[J].Journal of Mechanical Engineering,2009,45(11):18-24(in Chinese) [14] 金良超.正交设计与多指标分析[M].北京:中国铁道出版社,1988 Jin Liangchao.Orthogonal design and multi-index analysis[M].Beijing:China Railway Press,1988(in Chinese)
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