Research on the Description and Analysis Method for the Motion Characteristics of Bending Translation Mechanisms

doi:10.3901/JME.2020.21.079

Abstract

Abstract: For the lack of motion characteristic description model and operation rules of bending translation mechanisms, a method for describing and analyzing the motion characteristics of bending translation mechanisms is proposed. Firstly, the components of motion characteristics of rigid body are summarized, and the forming mechanism of bending translation mechanisms is studied. Then the related concepts to describe the global characteristics of bending translation are presented. Secondly, a description model based on intrinsic geometry is established to express the characteristics of bending translation. Then the corresponding rules of union and intersection operations are established. And two criteria for determining the existence of the rotating axis of the parallel mechanisms are given by a geometric method. Thirdly, a method for analyzing the kinematic characteristics of mechanisms is proposed by using recursive algorithm, which is easy to program. Finally, some specific examples are given to demonstrate the effectiveness of the proposed method. The research results are helpful to improve and deepen the topological structure analysis and synthesis theory of mechanism.

Key words: robot mechanism, bending translation, motion characteristic modeling, motion characteristic analysis

CLC Number:

TH112

SHI Zhixin, YE Meiyan, LUO Yufeng. Research on the Description and Analysis Method for the Motion Characteristics of Bending Translation Mechanisms[J]. Journal of Mechanical Engineering, 2020, 56(21): 79-88.

References

[1] HUANG Zhen,LI Qinchuan. Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method[J]. International Journal of Robotics Research,2003,22(1):59-79.
[2] KONG Xianwen,Gosselin C M. Type synthesis of parallel mechanisms[M]. Berlin:Springer Verlag,2007.
[3] 戴建生.机构学与旋量理论的历史渊源以及有限位移旋量的发展[J].机械工程学报,2015,51(13):13-21. DAI Jiansheng. Historical relation between mechanisms and screw theory and the development of finite displacement screws[J]. Journal of Mechanical Engineering,2015,51(13):13-21.
[4] YANG Shuofei,SUN Tao,HUNG Tian,et al. Aﬁnite screw approach to type synthesis of three-DOF translational parallel mechanisms[J]. Mechanism and Machine Theory,2016,104:405-419.
[5] SUN Tao,HUO Xinming. Type synthesis of 1T2R parallel mechanisms with parasitic motions[J]. Mechanism and Machine Theory,2018,128:412-428.
[6] ZHAO Yanzhi,CAO Yachao,KONG Xianwen. Type synthesis of parallel mechanisms with a constant Jacobian matrix[J]. Journal of Mechanisms and Robotics,2018,10(6):1011-1021.
[7] XU Yundou,ZHAO Yun,YUE Yi,et al. Type synthesis of overconstrained 2R1T parallel mechanisms with the fewest kinematic joints based on the ultimate constraint wrenches[J]. Mechanism and Machine Theory,2020,147:103766.
[8] GOGU G. Mobility of mechanisms:A critical review[J]. Mechanism and Machine Theory,2005,40:1068-1097.
[9] GOGU G. Structural synthesis of parallel robots:Part 1:Methodology[M]. Dordrecht:Springer,2008.
[10] GOGU G. Structural synthesis of parallel robots:Part 2:Translational topologies with two and three degrees of freedom[M]. Dordrecht:Springer,2009.
[11] GOGU G. Structural synthesis of parallel robots:Part 3:Topologies with planar motion of the moving platform[M]. Dordrecht:Springer,2010.
[12] GOGU G. Structural synthesis of parallel robots:Part 4:Other topologies with two and three degrees of freedom[M]. Dordrecht:Springer,2012.
[13] Herve J M. The Lie group of rigid body displacements,a fundamental tool for mechanism design[J]. Mechanism and Machine Theory,1999,34(7):719-730.
[14] LI Qinchuan,Huang Zhen,Herve J M. Type synthesis of 3R2T 5-DOF parallel mechanisms using the lie group of displacements[J]. IEEE Transactions on Robotics and Automation,2004,20(2):173-180.
[15] MENG Jian,LIU Guanfeng,LI Zexiang. A geometric theory for analysis and synthesis of sub-6 DOF parallel manipulators[J]. IEEE Transactions on Robotics,2007,23(4):625-649.
[16] LI Qinchuan,Herve J M. 1T2R parallel mechanisms without parasitic motion[J]. IEEE Transactions on Robotics,2010,26(3):401-410.
[17] LI Qinchuan,Herve J M. Type synthesis of 3-DOF RPR-Equivalent parallel mechanisms[J]. IEEE Transactions on Robotics,2014,30(3):1333-1343.
[18] YE Wei,LI Qinchuan. Type synthesis of lower mobility parallel mechanisms:A review[J]. Chinese Journal of Mechanical Engineering,2019,32(2):13-23.
[19] YANG Tingli,LIU Anxin,JIN Qiong. Position and orientation characteristic equation for topological design of robot mechanisms[J]. ASME Journal of Mechanic Design,2009,131(2):021001.
[20] YANG Tingli,LIU Anxin,SHEN Huiping,et al. On the correctness and strictness of the POC equation for topological structure design of robot mechanisms[J]. ASME Journal of Mechanisms and Robotics,2013,5(2):1009-1018.
[21] SHEN Chengwei,HANG Lubin,YANG Tingli. Position and orientation characteristics of robot mechanisms based on geometric algebra[J]. Mechanism and Machine Theory,2017,108:231-243.
[22] YANG Tingli,LIU Anxin,SHEN Huiping,et al. Topology design of robot mechanisms[M]. Berlin:Springer,2018.
[23] LIU Haitao,XU Ke,SHEN Huiping,et al. Type synthesis of 1T2R parallel mechanisms using structure coupling-reducing method[J]. Chinese Journal of Mechanical Engineering,2019,32(5):80-89.
[24] 杨廷力,沈惠平,刘安心,等.机构拓扑学理论的基本思想与数学方法——从方法论角度回顾几种原创性理论与方法[J].机械工程学报,2020,56(3):1-15. YANG Tingli,LIU Anxin,SHEN Huiping,et al. Basic ideas and mathematical methods of mechanism topology theory-review of several original mechanism topology theories in a methodological perspective[J]. Journal of Mechanical Engineering,2020,56(3):1-15.