类Exechon并联模块弹性静力学建模与分析

doi:10.16183/j.cnki.jsjtu.2017.08.014

摘要/Abstract

摘要： 针对Exechon并联模块动平台摆角范围较小的问题，提出了一种拓扑构型为2RPU&1RPS的类Exechon并联模块.在前期完成的概念设计基础上，对类Exechon并联模块进行了自由度计算及运动学逆解分析.采用子结构综合法，建立了计及关节弹性变形和支链体柔性的类Exechon并联模块弹性静力学模型.依托所建模型，计算了该类并联模块极限位姿下动平台的弹性位移和关节约束反力(力矩)，并进一步给出了两者在工作空间内的映射.研究表明，模块自重对类Exechon并联模块动平台的弹性位移和关节约束反力(力矩)具有重要影响，其静力学特性在工作空间内随位姿变化明显，且在沿z向的工作截面上呈对称性映射.

关键词: 并联机构；类Exechon；逆运动学；弹性静力学；子结构综合

Abstract: A novel Exevariant PKM with a topological arrangement of 2RPU&1RPS was proposed by the authors to achieve a better platform rotational ability over the Exechon parallel kinematic machine (PKM). After introducing the concept design, the mobility analysis and inverse kinematics of the proposed Exevariant PKM are conducted. With the substructure synthesis techniques, a kinetostatic model that includes joint deflections and limb flexibilites is developed to investigate the kinetostatic characteristics of the Exevariant PKM. The platform’s elastic displacements and joint reaction forces/moments of the Exevariant PKM at the extreme position are analyzed. Furthermore, their mappings over any work plane are evaluated throughout the entire workspace. The results reveal that the gravitycaused elastic displacements of the platform and joint force/moment reactions are noticeable. The mappings of platform’s elastic displacements and joint forces/moments reactions in the entire workspace are positiondependant and demonstrate a symmetry over any given work plane.

Key words: parallel kinematic machine; Exevariant; inverse kinematic; kinetostatic; substructure synthesis

中图分类号:

TH 112

汤腾飞1，张俊2，赵艳芹1. 类Exechon并联模块弹性静力学建模与分析[J]. 上海交通大学学报, 2017, 51(8): 992-999.

TANG Tengfei1,ZHANG Jun2,ZHAO Yanqin1. Kinetostatic Modeling and Analysis of
an ExeVariant Parallel Kinematic Machine[J]. Journal of Shanghai Jiao Tong University, 2017, 51(8): 992-999.

参考文献

［1］CUANUrquizo E, RODRIGUEZLeal E. Kinematic analysis of the 3CUP parallel mechanism［J］. Robotics and ComputerIntegrated Manufacturing, 2013, 29(5): 382395.
［2］XIE F, LIU X J, LI T. Type synthesis and typical application of 1T2Rtype parallel robotic mechanisms［J］. Mathematical Problems in Engineering, 2013 (9): 497504.
［3］ZHANG D, GOSSELIN C M. Kinetostatic analysis and design optimization of the tricept machine tool family［J］. Journal of Manufacturing Science and Engineering, 2002, 124(3): 725733.
［4］HENNES N. Ecospeedan innovative machinery concept for high performance 5axis machining of large structural components in aircraft engineering［C］//3rd Chemnitz Parallel Kinematic Seminar. Zwickau: Verlag Wissenschaftliche Scripten, 2002: 763774.
［5］LI Y G, LIU H T, ZHAO X M, et al. Design of a 3DOF PKM module for large structural component machining［J］. Mechanism and Machine Theory, 2010, 45(6): 941954.
［6］NEUMANN K E. Exechon concept［J］. Parallel Kinematic Machines in Research and Practice, 2006, 33: 787802.
［7］李彬, 黄田, 刘海涛, 等. Exechon 混联机器人的三自由度并联机构模块位置分析［J］. 中国机械工程, 2010 (23): 27852789.
LI Bin, HUANG Tian, LIU Haitao, et al. Position analysis of a 3DOF PKM module for a 5DOF hybrid robot Exechon［J］. Chinese Journal of Mechanical Engineering, 2010 (23): 27852789.
［8］ZHANG J, ZHAO Y Q, JIN Y. Kinetostaticmodelbased stiffness analysis of Exechon PKM［J］. Robotics and ComputerIntegrated Manufacturing, 2015, 37(C): 208220
［9］ZHANG J, ZHAO Y Q, JIN Y. Elastodynamic Modeling and analysis for an Exechon parallel kinematic machine［J］. Journal of Manufacturing Science and Engineering, 2016, 138(3): 031011.
［10］BI Z M, KANG B. An inverse dynamic model of overconstrained parallel kinematic machine based on NewtonEuler formulation［J］. Journal of Dynamic Systems, Measurement, and Control, 2014, 136(4): 041001.
［11］BI Z M, JIN Y. Kinematic modeling of Exechon parallel kinematic machine［J］. Robotics and ComputerIntegrated Manufacturing, 2011, 27(1): 186193.
［12］TANG T F, ZHAO Y Q, ZHANG J, et al. Conceptual design and workspace analysis of an Exechoninspired parallel kinematic machine［C］//Advances in Reconfigurable Mechanisms and Robots II. Switzerland: Springer International Publishing, 2016: 445453.
［13］付红栓, 赵恒华, 杨辉. 3TPT型并联机床静力学及刚度研究［J］. 组合机床与自动化加工技术, 2013(1): 4244.
FU Hongshuan, ZHAO Henghua, YANG Hui. Study on the statics and stiffness of 3TPT parallel machine tool［J］. Modular Machine Tool & Automatic Manufacturing Technique, 2013(1): 4244.
［14］PIRAS G, CLEGHORN W L, MILLS J K. Dynamic finiteelement analysis of a planar highspeed, highprecision parallel manipulator with flexible links［J］. Mechanism & Machine Theory, 2005, 40(7):849862.
［15］KLIMCHIK A, CHABLAT D, PASHKEVICH A. Stiffness modeling for perfect and nonperfect parallel manipulators under internal and external loadings［J］. Mechanism and Machine Theory, 2014, 79: 128.
［16］落海伟, 张俊, 王辉, 等. 3RPS并联机构静刚度建模方法［J］. 天津大学学报(自然科学与工程技术版), 2015, 48(09): 797803.
LUO Haiwei, ZHANG Jun, WANG Hui, et al. Static stiffness modeling method of 3RPS PKM［J］. Journal of Tianjin University (Science and Technology), 2015, 48(09): 797803.
［17］黄真. 高等空间机构学［M］. 北京：高等教育出版社, 2006.
［18］MAJOU F, GOSSELIN C, WENGER P, et al. Parametric stiffness analysis of the Orthoglide［J］. Mechanism and Machine Theory, 2007, 42(3): 296311.

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