Volume 36 Issue 11
Nov.  2010
Turn off MathJax
Article Contents
Cui Xueliang, Han Xianguo, Chen Wuyiet al. Continuous stiffness modeling of 3-RPS parallel kinematic machine with special composite spherical joints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(11): 1275-1280. (in Chinese)
Citation: Cui Xueliang, Han Xianguo, Chen Wuyiet al. Continuous stiffness modeling of 3-RPS parallel kinematic machine with special composite spherical joints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(11): 1275-1280. (in Chinese)

Continuous stiffness modeling of 3-RPS parallel kinematic machine with special composite spherical joints

More Information
  • Corresponding author: Cui Xueliang
  • Received Date: 28 Jan 2010
  • Publish Date: 30 Nov 2010
  • A comprehensive continuous modeling methodology of 3-RPS parallel machine under dynamic load condition was developed and presented by considering the stiffness of legs and joints. The variational Jacobian matrix was used through vector differential and equivalent mechanism technique. Based on the screw theory, the force equation between the dynamic load on the mobile platform and its reaction forces on the legs and joints of the 3-RPS parallel machine was investigated and analyzed. The relationship between the pose (position and orientation) distortion of the mobile platform and the elastic deformation behavior of the legs and joints on 3-RPS parallel machine was established and analyzed by vector differential. A comprehensive dynamic stiffness model of the machine was developed by adding the total differential of the residual forces on the machine system. To validate the methodology, a numerical simulation was carried out. The result shows that the stiffness model of the parallel machine is affected by the outside load and the pose of the mobile platform. There is a large difference between the simple stiffness model and the integrate stiffness model near the workspace boundary of the parallel machine.

     

  • loading
  • [1] Gosselin C.Stiffness mapping for parallel manipulators[J].IEEE Transactions on Robotics and Automation,1990,6(3):377-382 [2] EI-Khasawneh B S,Ferreira P M.Computation of stiffness and stiffness bounds for parallel link manipulators[J].International Journal of Machine Tools & Manufacture,1999,39(2):321-342 [3] 王世军,黄玉美.并联机床支链刚度及载荷的确定方法[J].西安理工大学学报,2004,20(2):117-121 Wang Shijun,Huang Yumei.Determination method of branch stiffness and load for parallel machine tool[J].Journal of Xi’an University of Technology,2004,20(2):117-121(in Chinese) [4] Huang Tian,Zhao Xingyu,Whitehouse D J.Stiffness estimation of a tripod-based parallel kinematic machine[J].IEEE Transactions on Robotics and Automation,2002,18(1):50-58 [5] Anatol P,Damien C,Philippe W.Stiffness analysis of overconstrained parallel manipulators[J].Mechanism and Machine Theory,2009,44(5):966-982 [6] 陈吉清,兰凤崇. Stewart并联机构瞬时刚度分析与应用[J].南京理工大学学报,2007,31(4):482-486 Chen Jiqing,Lan Fengchong.Instantaneous stiffness analysis and application in Stewart parallel machine tools[J].Journal of Nanjing University of Science and Technology,2007,31(4):482-486(in Chinese) [7] Chen J,Lan F.Instantaneous stiffness analysis and simulation for hexapod machines[J].Simulation Modelling Practice and Theory,2008,16(4):419-428 [8] 赵铁石,赵延治,边辉,等.空间并联机构连续刚度非线性映射[J].机械工程学报,2008,44(8):20-25 Zhao Tieshi,Zhao Yanzhi,Bian Hui,et al.Continuous stiffness nonlinear mapping of spatial parallel mechanism[J].Chinese Journal of Mechanical Engineering,2008,44(8):20-25(in Chinese) [9] 曾宪菁.球面并联机构运动学设计理论与方法 .天津:天津大学机械工程学院,2001 Zeng Xianjing.The kinematics design of spherical parallel manipulator .Tianjin:School of Mechanical Engineering,Tianjin Unversity,2001(in Chinese) [10] 黄真,赵永生,赵铁石.高等空间机构学[M].北京:高等教育出版社,2006:29-30 Huang Zhen,Zhao Yongsheng,Zhao Tieshi.Advanced spatial mechanism[M]. Beijing:Higher Education Press,2006:29-30(in Chinese) [11] 蔡自兴.机器人学[M].北京:清华大学出版社,2000:66-72 Cai Zixing.Robotics[M].Beijing:Tsinghua University Press,2000:66-72(in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(2968) PDF downloads(1240) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return