Topology structure of parallel mechanism (PM) includes two aspects, namely topology structure of branched-chain itself and of branched-chain relative to the moving/static platform. Topology structure of branched-chain relative to the moving/static platform has an important impact on structure, kinematics and dynamics performances of the PM, which is little paid attention to at present. The structure coupling-reducing principle and design methods are illustrated. At the same time, a method for identifying motion decoupling for mechanisms based on Pro/E-ADAMS simulation curve is proposed without solutions for the kinematic equations. Taking the typical two-translation and one rotation PM 3-RRR and three-translation 3-R//R//C PM as the example, the corresponding structure coupling-reduced PM and motion decoupling PM are obtained respectively after topological structure of branched-chains relative to the moving/platform are specially designed based on the previous PMs, the results of which show that coupling degree of the two-translation and one rotation PM is reduced from k=1 to k=0, which leads to be easy to get its analytical forward kinematic solutions, and three-translation PM that is previously of un-motion-decoupling has derived to be with the partial motion-decoupling, which leads to be easier for motion planning and control. Comparing to forward kinematic solutions, motion-decoupling, singularity, workspace and dexterity between the typical 3-R//R//C and its motion decoupling PM, it is found that total performance of motion decoupling PM are obviously better than ones of the previous PM. The work provides an effective method to uncover the relations between topology structure optimization and performance improvement for PMs.
[1] 沈惠平,杨廷力.复杂平面机构装配构型的求解分析与选优[J].机械设计,1997,14(6):444-448. SHEN Huiping,YANG Tingli.Solution analysis and optimization for complex plane mechanism configurations[J].Journal of Machine Design,1997,14(6):444-448.
[2] 杨廷力.机器人机构拓扑结构学[M].北京:机械工业出版社,2004. YANG Tingli.Topology structure design of robot mechanisms[M].Beijing:China Machine Press,2004.
[3] 黄真,赵永生,赵铁石.高等空间机构学[M].北京:高等教育出版,2006. HUANG Zhen,ZHAO Yongsheng,ZHAO Tieshi.Advanced space mechanisms[M].Beijing:Higher Education Press,2006.
[4] HERVE J M.Design of parallel manipulators via the displacement group[C]//The 9th World Congress On Theory of Machine and Mechanisms,1995,Milano,Italy,1995:2079-2082.
[5] 杨廷力,刘安兴,罗玉峰,等.机器人机构拓扑结构设计[M].北京:科学出版社,2012. YANG Tingli,LIU Anxin,LUO Yufeng,et al.Theory and application of robot mechanism topology[M].Beijing:Science Press,2012.
[6] YANG Tingli,LIU Anxin,SHEN Huiping,et al.On the correctness and strictness of the position and orientation characteristic equation for topological structure design of robot mechanisms[J].Journal of Mechanisms and Robotics,2013,5(2):119-134.
[7] GOGU G.Structural synthesis of parallel robots.Part 1:Methodology[M].Springer,2008.
[8] 王宪平,戴一帆,李圣怡.一般机构的解耦运动[J].国防科技大学学报,2002,24(2):85-90. WANG Xianping,DAI Yifan,LI Shenyi.Decoupling motion for general mechanisms[J].Journal of the National Defense University,2002,24(2):85-90.
[9] 马履中,尹小琴,杨廷力.新型三平移并联机器人的特殊位形分析[J].江苏大学学报,2002,23(2):43-45. MA Lüzhong,YIN Xiaoqin,YANG Tingli.Special configuration analysis of a novel three translational parallel robot[J].Journal of Jiangsu University,2002,23(2):43-45.
[10] LIU Xinjun,WANG Jinsong.Parallel kinematics:Type,kinematics,and deisgn[M].Springer,2014.
[11] 黄田,汪劲松.Stewart并联机器人局部灵活度和各向同性条件解析[J].机械工程学报,1999,35(5):41-46. HUANG Tian,WANG Jinsong.Local flexibility and resolve isotropic conditions for Stewart parallel robots[J]. Chinese Journal of Mechanical Engineering,1999,35(5):41-46.
[12] MELERT J P. Parallel robots[M].2nd ed. Springer,2005.
[13] 杨廷力.机械系统基本理论——结构学,运动学,动力学[M].北京:机械工业出版社,1996. YANG Tingli.The basic theory of mechanical systems structure,kinematics, dynamics[M].Beijing:China Machine Press,1996.
[14] 沈惠平,朱小蓉,尹洪波,等.并联机构的结构降耦原理及其设计方法[J].机械工程学报,2016,52(23):102-113. SHEN Huiping,ZHU Xiaorong,YIN Hongbo,et al.Principle and design method for structure coupling-reducing of parallel mechanisms[J].Journal of Mechanical Engineering,2016,52(23):102-113.
[15] SHEN Huiping,YANG Liangjie,MENG Qingmei,et al.Topological structure coupling-reducing of parallel mechanisms[C]//The 14th IFToMM World Congress,Taipei,Taiwan,China,October 25-30,2015:62-73.
[16] SHEN Huiping,YANG Liangjie,ZHU Xiaorong,et al.A method for structure coupling-reducing of parallel mechanisms[C]//The 2015 International Conference on Intelligent Robotics and Applications,August 24-27,2015,Portsmouth,UK. 2015:199-210.
[17] JIN Qiong,YANG Tingli.Synthesis and analysis of a group of 3-Degree-of-Freedom partially decoupled parallel manipulators[J].Journal of Mechanical Design,2004,126(2):301-306.
[18] 高峰,杨加伦,葛巧德. 并联机器人型综合的GF集理论[M].北京:科学出版社,2011. GAO Feng,YANG Jialun,GE Qiaode.GF set theory for parallel robots[M].Beijing:Science Press,2011.
[19] JIN Yan,CHEN I Ming,YANG Guilin.Kinematic design of a 6-DOF parallel manipulator with decoupled translation and rotation[J].IEEE Transactions on Robotics,2006,22(3):545-551.
[20] 杭鲁滨,王彦,吴俊,等.基于拓扑解耦准则的球面并联机构解耦条件研究[J].机械工程学报,2005,41(9):28-32. HANG Lubin,WANG Yan,WU Jun,et al.Study on the decoupling conditions of the spherical parallel mechanism based on the criterion for topologically decoupled parallel mechanisms[J].Chinese Journal of Mechanical Engineering,2005,41(9):28-32.
[21] 沈惠平,熊坤,孟庆梅,等.并联机构运动解耦设计方法及其应用[J].农业机械学报,2016,47(6):348-356. SHEN Huiping,XIONG Kun,MENG Qingmei,et al.Design methods for kinematic decoupled parallel mechanisms and applications[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(6):348-356.
[22] 沈惠平,尹洪波,王振,等.基于拓扑结构分析的求解6-SPS并联机构位置正解的研究[J].机械工程学报,2013,49(11):14-20. SHEN Huiping,YIN Hongbo,WANG Zhen,et al.Research on forward position solutions for 6-SPS parallel mechanisms based on topology structure analysis[J].Journal of Mechanical Engineering,2013,49(11):14-20.
[23] 王振.并联机构拓扑结构和性能关系的研究[D],常州:常州大学,2013. WANG Zhen.Study on the relationship between structure and performances of topological mechanism[D]. Changzhou:Changzhou University,2013.
[24] TSAI L W.Multi-degree-of-freedom mechanisms for machine tools and the like:U.S.,5656905[P].1997.
[25] KONG X W,GOSSELIN C. A class of 3-DOF translational parallel manipulators with linear input-output equations[C]//The Workshop on Parallel Mechanisms and Manipulators,October 3-4,2002,Quebic,Canada. 2002:25-32.
[26] GOGU G.Structural synthesis of parallel robotic manipulators with decoupled motions[M].Report ROBEA MAX-CNRS,2003.