广东工业大学学报 ›› 2018, Vol. 35 ›› Issue (06): 24-30.doi: 10.12052/gdutxb.180081

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三自由度类球面并联机构的动力学建模及分析

张国英1, 姜浩1, 张涛1, 肖才1, 刘冠峰1, 肖晓兰1, 骆少明2   

  1. 1. 广东工业大学 机电工程学院, 广东 广州 510006;
    2. 仲恺农业工程学院 机电工程学院, 广东 广州 510225
  • 收稿日期:2018-05-22 出版日期:2018-11-23 发布日期:2018-11-05
  • 通信作者: 刘冠峰(1975-),男,教授,博士,博士生导师,主要研究方向为机器人操作理论与运动规划、机构分析及设计、机器人操作系统.E-mail:inrobot.liu.gf@gmail.com E-mail:inrobot.liu.gf@gmail.com
  • 作者简介:张国英(1980-),女,讲师,博士研究生,主要研究方向为机器人机构学与运动控制.
  • 基金资助:
    广东省联合基金重点项目(U1401240);国家国际科技合作专项(2015DFA11700)

Dynamic Modeling and Analysis of 3-DOF Spheroid Parallel Mechanism

Zhang Guo-ying1, Jiang Hao1, Zhang Tao1, Xiao Cai1, Liu Guan-feng1, Xiao Xiao-lan1, Luo Shao-ming2   

  1. 1. School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China;
    2. School of Electromechanical Engineering, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China
  • Received:2018-05-22 Online:2018-11-23 Published:2018-11-05

摘要: 提出一种可应用于电子装配领域的三自由度(2R1T,R表示旋转,T表示平移)类球面并联机构. 该机构由上下2个等半径的动、定平台通过3个相同的RSR(R表示转动副,S表示球关节)支链连接而成. 在运动过程中,动平台与定平台始终关于一个中间平面对称,且动平台可绕着对称面内的任意轴线连续旋转和沿着两平台中心连线方向连续平移. 基于机构特殊的几何对称性,建立了其等效运动学模型,在此基础上运用Lagrange方法建立了机构的动力学模型,并通过具体的运动算例,利用Mathematica计算和ADAMS(Automatic Dynamic Analysis of Mechanical Systems,机械系统动力学自动分析)仿真验证了该动力学模型的正确性和有效性,为进一步研究机构的动态特性及系统运动控制提供理论指导.

关键词: 并联机构, Lagrange方法, 动力学

Abstract: A three-degree-of-freedom (2R1T,R denotes rotation, T denotes translation) spheroid parallel mechanism that can be applied in the field of electronic assembly is proposed. The mechanism is composed of two equal-radius moving platform and base which are connected by three identical RSR (R denotes rotational pair, S denotes spherical pair) branches. The moving platform and the base are always symmetrical about a middle plane during the movement, and the moving platform can rotate around any lines within the plane of symmetry and translate along the center line of the two platforms. Based on the special geometric symmetry of the mechanism, its equivalent kinematics model was established. Then the dynamic model of the mechanism was established by using the Lagrange method. Through specific motion examples, the dynamics were validated using Mathematica calculations and ADAMS (Automatic Dynamic Analysis of Mechanical Systems) simulations. The correctness and validity of the learning model provide theoretical guidance for further research on the dynamic characteristics of the mechanism and system motion control.

Key words: parallel mechanism, Lagrange method, dynamic

中图分类号: 

  • TH112
[1] WU K, YU J J, ZONG G H, et al. A family of rotational parallel manipulators with equal-diameter spherical pure rotation[J]. Journal of Mechanisms & Robotics, 2014, 6(1):1-10
[2] YU J J, DONG X, PEI X, et al. Mobility and singularity analysis of a class of 2-DOF rotational parallel mechanisms using a visual graphic approach[J]. American Society of Mechanical Engineers (ASME), 2011, 4(4):1027-1036
[3] DONG X, YU J J, CHEN B, et al. Geometric approach for kinematic analysis of a class of 2-DOF rotational parallel manipulators[J]. Chinese Journal of Mechanical Engineering, 2012, 25(2):241-247
[4] 陈斌, 于靖军, 宗光华, 等. 一类2自由度n-4R并联指向机构的运动学分析[J]. 机械工程学报, 2014, 50(15):19-27 CHEN B, YU J J, ZONG G H, et al. Kinematic analysis of a class of 2-dof n-4r parallel pointing mechanism[J]. Journal of Mechanical Engineering, 2014, 50(15):19-27
[5] WU Y Q, LI Z X, SHI J B. Geometric properties of zero-torsion parallel kinematics machines[J]. 2010, 6219(1):2307-2312
[6] 张国英, 廖亚军, 梁峰, 等. 一种类球面并联腕部机构及其运动学分析[J]. 机器人, 2017, 39(2):167-175 ZHANG G Y, LIAO Y J, LIANG F, et al. A spheroid parallel wrist mechanism and its kinematic analysis[J]. Robot, 2017, 39(2):167-175
[7] DUAN Z X, YU J J, QU Y F, et al. Type synthesis and axodes analysis of a class of special 2R1T parallel mechanisms[C]//14th International Federation for the Promotion of Mechanism and Machine Science World Congress.[S.l.]:National Taiwan University, 2015:299-304.
[8] TSAI L W. Robot analysis and design:the mechanics of serial and parallel manipulators[M]. US:John Wiley & Sons, Inc., 1999, 424-455.
[9] 陈华龙, 梁慧冰, 霍迎辉. 四级倒立摆系统的Lagrange方程建模[J]. 广东工业大学学报, 2004, 21(2):59-63 CHEN H L, LIANG H B, HUO Y H. Modeling four-stage inverted pendulum system based on lagrange equation[J]. Journal of Guangdong University of Technology, 2004, 21(2):59-63
[10] CARP-CIOCARDIA D C. Dynamic analysis of clavel's delta parallel robot[C]//2003 IEEE International Conference on Robotics and Automation, Institute of Electrical and Electronics Engineers Inc.[S.l.]:IEEE, 2003:4116-4121.
[11] SHIAU T N, TSAI Y J, TSAI M S. Nonlinear dynamic analysis of a parallel mechanism with consideration of joint effects[J]. Mechanism & Machine Theory, 2008, 43(4):491-505
[12] 陈斌, 宗光华, 于靖军, 等. 一种2-DOF类球面并联转台的动力学建模及分析[J]. 机械工程学报, 2013, 49(13):24-31 CHEN B, ZONG G H, YU J J, et al. Dynamic modeling and analysis of 2-DOF quasi-sphere parallel platform[J]. Journal of Mechanical Engineering, 2013, 49(13):24-31
[13] QIU Z C. Current situation of research on parallel robots[J]. Machinery, 2000, 38(428):27-29
[14] DESIGNS R H. Omni-Wrist V(2002-2016)[2018-6-18]. http://www.anthrobot.com/omni-wrist-v/[EB/OL].
[15] 张国英. 基于ADAMS的类球面并联腕部机构的碰撞仿真分析[J]. 机械设计与制造, 2017(13):217-220 ZHANG G Y. Impact simulation analysis of a spheroid parallel wrist mechanism based on ADAMS[J]. Machinery Design & Manufacture, 2017(13):217-220
[16] 卢志辉, 孙志扬, 李祥云, 等. 高精度质心测量方法研究[J]. 兵工学报, 2009, 30(12):1748-1752 LU Z H, SUN Z Y, LI X Y, et al. Research on high precision measurement of centroid[J]. Acta Armamentarii, 2009, 30(12):1748-1752
[17] 韩建友, 杨通, 于靖军. 高等机构学[M]. 2版. 北京:机械工业出版社, 2015, 9-18.
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