• CN:11-2187/TH
  • ISSN:0577-6686

›› 2008, Vol. 44 ›› Issue (7): 63-68.

• 论文 • 上一篇    下一篇

4-RR(RR)R并联机构的动力学性能指标分析

刘爽;郭希娟;刘彬   

  1. 燕山大学电气工程学院;燕山大学信息科学与工程学院
  • 发布日期:2008-07-15

Analysis of Dynamic Performance Indices of 4-RR(RR)R Parallel Mechanism

LIU Shuang;GUO Xijuan;LIU Bin   

  1. Institute of Electrical Engineering, Yanshan University Institute of Information Science and Engineering, Yanshan University
  • Published:2008-07-15

摘要: 利用位置反解分析4-RR(RR)R并联机构的空间位形,并采用虚设机构法和影响系数矩阵法建立Jacobian和Hessian矩 阵,将Hessian矩阵引入全域性能指标中,不同于以往仅采用Jacobian矩阵作为评价机构性能的指标,使得对机构的动力学性能评价更加全面。对全新的4-RR(RR)R 4自由度并联机构进行速度、加速度和惯性力性能指标分析,给出三项指标的性能图谱。改变机构尺寸,搜索4-RR(RR)R并联机构在不同机构尺寸下的工作空间,在可达工作空间内讨论机构尺寸变化对机构性能的影响,重点讨论Jacobian矩阵和Hessian矩阵对机构加速度性能的影响程度。对比加速度偏差的具体数值,发现Hessian矩阵对机构的加速度性能有着更重要的影响。最后利用Matlab软件对机构进行模型仿真。

关键词: 4-RR(RR)R并联机构, 动力学性能指标, 模型仿真, 影响系数矩阵

Abstract: The spatial configuration of a novel 4-RR(RR)R parallel mechanism is analyzed by using the position inverse solution, and Jacobian matrix and Hessian matrix are established by adopting the methods of virtual mechanism and influence coefficient matrix. Then Hessian matrix is introduced into the global performance index, which is different from only adopting Jacobian matrix as the performance evaluation index in the past, thus the evaluation of dynamic characteristics of mechanism is more comprehensive. The velocity, acceleration and inertial force performances of the 4-RR(RR)R mechanism are analyzed, and three performance atlases are given. Furthermore, the mechanism dimensions are changed, and the work spaces of the mechanisms with different dimensions are searched. Then the influence of change of mechanism dimensions on the mechanism performance is discussed within the range of accessible work space. Emphatically, The extent of influence of Jacobian matrix and Hessiag matrix on the acceleration of mechanism is discussed. Through the comparison of the concrete numerical values of acceleration deviation, it is found that the Hessian matrix has more important influence on the acceleration performance of the mechanism. Finally, Matlab software is used to carry out model simulation for the mechanism.

Key words: 4-RR(RR)R parallel mechanism, Dynamics performance indices, Influence coefficient matrix, Modeling simulation

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