Volume 40 Issue 7
Jul.  2014
Turn off MathJax
Article Contents
Xue Jian, Tang Zhiyong, Pei Zhongcaiet al. Numerical method of forward position solution for 6-3 Stewart platform based on mechanism simplification[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(7): 921-926. doi: 10.13700/j.bh.1001-5965.2013.0492(in Chinese)
Citation: Xue Jian, Tang Zhiyong, Pei Zhongcaiet al. Numerical method of forward position solution for 6-3 Stewart platform based on mechanism simplification[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(7): 921-926. doi: 10.13700/j.bh.1001-5965.2013.0492(in Chinese)

Numerical method of forward position solution for 6-3 Stewart platform based on mechanism simplification

doi: 10.13700/j.bh.1001-5965.2013.0492
  • Received Date: 18 Sep 2013
  • Publish Date: 20 Jul 2014
  • To increase the speed of forward position solution for Stewart platform, the classical iterative method based on speed Jacobian was analyzed, and the new method for 6-3 Stewart platform was proposed. 6-3 Stewart platform was simplified as virtual 3-RPS parallel mechanism and its forward position solution was obtained by Newton-Raphson method. The result was solved back to the pose of actual platform. Experimental results on self-designed hydraulic 6-3 Stewart platform system present that, compared with classical method, the new one reduced nearly 50% of iterations and about 85% of time cost for solution. The concept of the new method is clear, mechanism simplification is easy implementing, and the computational cost of forward position solution for simplified 3-RPS parallel mechanism is significantly decreased. The new method is capable for forward position solution in a real-time control with 0.1 ms control cycle.

     

  • loading
  • [1]
    Lee S H, Song J B.Position control of a Stewart platform using inverse dynamics control with approximate dynamics[J] Mechatronics, 2002, 13(6):605-619
    [2]
    Zubizarreta A, Portillo E, Cabanes I, et al.Real-time environment design for testing advanced control approaches in parallel robots[J].International Journal of Advanced Manufacturing Technology, 2013, 67(5-8):1459-1475
    [3]
    Dasgupta B, Mruthyunjaya T S.The Stewart platform manipulator:a review[J].Mechanism and Machine Theory, 1999, 35(1): 15-40
    [4]
    Morell A, Tarokh M, Acosta L.Solving the forward kinematics problem in parallel robots using support vector regression[J].Engineering Applications of Artificial Intelligence, 2013, 26(7):1698-1706
    [5]
    Merlet J P. Parallel manipulators, part 1, theory[R].INRIA Technical Report 646, 1987
    [6]
    Fichter E F. A Stewart platform-based manipulator:general theory and practical construction[J].International Journal of Robotic Research, 1986, 5(2):157-182
    [7]
    Dasgupta B, Mruthyunjaya T S.Force redundancy in parallel manipulators:theoretical and practical issues[J].Mechanism and Machine Theory, 1998, 33(6):727-742
    [8]
    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, 2006:144-146 Huang Zhen, Zhao Yongsheng, Zhao Tieshi.Advanced spatial mechanism[M].Beijing:Higher Education Press, 2006:144-146(in Chinese)
    [9]
    梁崇高, 荣辉. 一种Stewart平台型机械手位移正解[J].机械工程学报, 1991, 27(2):26-30 Liang Chonggao, Rong Hui.Displacement positive solutions for one kind of Stewart platform-type manipulator[J].Journal of Chinese Mechanical Engineering, 1991, 27(2):26-30(in Chinese)
    [10]
    Zhao X H, Peng S X.Direct displacement analysis of parallel manipulators[J].Journal of Robotic Systems, 2000, 7(6):341-345
    [11]
    Hashimoto M, Imanura Y.Kinematic analysis and design of a 3 DOF parallel mechanism for a passive compliant wrist of manipulators[J].The Japan Society of Mechanical Engineers, 1998, 64(6):250-257
    [12]
    Shi Y, Yue H X, Lu Y, et al.Singularity analysis of a plane-symmetry 3-RPS parallel robot based on translational/rotational Jacobian matrices[C]//Wohlbier T.Applied Mechanics and Materials.Clausthal-Zellerfeld, Germany:Trans Tech Publications, 2012:1590-1594
  • 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(1592) PDF downloads(560) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return