• CN:11-2187/TH
  • ISSN:0577-6686

›› 2008, Vol. 44 ›› Issue (8): 33-39.

• 论文 • 上一篇    下一篇

扫码分享

球面五杆机构的运动学与性能分析

王进戈;张均富 王强;徐礼钜   

  1. 西华大学机械工程与自动化学院;四川大学制造科学与工程学院
  • 发布日期:2008-08-15

Kinematics and Performance Analysis of Spherical Five-bar Mechanisms

WANG Jinge;ZHANG Junfu;WANG Qiang;XU Liju   

  1. School of Mechanical Engineering and Automation, Xihua University School of Manufacturing Science and Engineering, Sichuan University
  • Published:2008-08-15

摘要: 基于球坐标对机构进行描述,将球面五杆机构的运动描述在由2转动自由度构成的二维平面上,导出具有2自由度特征的球面五杆机构的速度方程和雅可比矩阵的解析表达。以此为基础,研究球面五杆机构的奇异位形和灵活度,绘制机构的奇异轨迹曲线和灵活度分布曲线,并对球面五杆机构的结构参数对全条件指标的影响进行分析。研究表明,基于球坐标对机构进行描述,便于建立球面五杆机构的速度方程和雅可比矩阵,能够直观描述机构的奇异轨迹曲线和灵活度分布曲线。

关键词: 灵活度, 奇异轨迹, 球面五杆机构, 全域条件指标

Abstract: Based on the spherical coordinates, the kinematics of the spherical five-bar mechanisms is described in a two-dimensional plane, which is constructed by the two rotational degrees of the spherical coordinates. The velocity equation and the analytical expression of the Jacobian matrix for spherical five-bar mechanisms with two degrees of freedom characteristics are deduced. The singularity configuration and dexterity of asymmetric spherical five-bar mechanisms are discussed based on Jacobian matrix of mechanisms. The distribution of singularity loci and dexterity curve for spherical five-bar mechanisms are drawn. The influence of structure pa-rameters on global condition index for asymmetric spherical five-bar mechanisms is studied. The results show that, based on the spherical coordinates, the velocity equation and the Jacobian matrix can be conveniently created, and the distribution of singularity loci and dexterity curve for spherical five-bar mechanisms can be effectively described.

Key words: Dexterity, Global conditioning index, Singularity loci, Spherical five-bar mechanisms

中图分类号: