Volume 40 Issue 7
Jul.  2014
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Fan Rui, Liu Huan, Wang Danet al. Statics and stiffness of 3 DOF parallel loading mechanism[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(7): 861-866. doi: 10.13700/j.bh.1001-5965.2013.0491(in Chinese)
Citation: Fan Rui, Liu Huan, Wang Danet al. Statics and stiffness of 3 DOF parallel loading mechanism[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(7): 861-866. doi: 10.13700/j.bh.1001-5965.2013.0491(in Chinese)

Statics and stiffness of 3 DOF parallel loading mechanism

doi: 10.13700/j.bh.1001-5965.2013.0491
  • Received Date: 18 Sep 2013
  • Publish Date: 20 Jul 2014
  • A static model of a 3-DOF parallel mechanism (PM) that is used for computerized numerical control (CNC) machine tool follow-up loading test was established based on the screw theory. The mapping between actuation force and loading force of the moving platform was built considering the influence of limbs' weight. Then the distribution of actuation forces in workspace under specified loads was analyzed through a numerical example. Moreover, the static stiffness mapping model of the PM was established. The model considers influences of the limbs' weight and the parts' elastic deformation under the constraint force. At last the deformation of the PM in the workspace under given static loads was analyzed and the stiffness characteristic was evaluated. The results show that the distribution of stiffness in workspace is symmetrical about the y-axis and the stiffness will be worsened when it comes near the workspace boundary.

     

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  • [1]
    Huang T, Wang J S, Whitehouse D J.Closed form solution to the workspace of hexapod based parallel machine tools[J].ASME J of Mechanical Design, 1999, 121(1):26-31
    [2]
    尹小琴, 马履中, 杨启志.并联机构静力学分析[J].农业机械学报, 2007, 38(12):201-203 Yin Xiaoqin, Ma Lüzhong, Yang Qizhi. Statics analysis of paral-lel mechanism[J].Transactions of the Chinese Society for Agricultural Machinery, 2007, 38(12):201-203(in Chinese)
    [3]
    Tsai L W. Robot analysis:the mechanics of serial and parallel manipulators[M].New York:John Wiley & Sons, 1999
    [4]
    徐东涛, 孙志礼, 丁晓光.考虑杆件弹性变形的改进型Delta并联机构刚度特性分析[J].农业机械学报, 2013, 44(5):294-298 Xu Dongtao, Sun Zhili, Ding Xiaoguang.Stiffness characteristic analysis of modified Delta parallel mechanism based on bars' elastic deformation[J].Transactions of the Chinese Society for Agricultural Machinery, 2013, 44(5):294-298(in Chinese)
    [5]
    Portman V T, Chapsky V S, Shneor Y.Workspace of parallel kinematics machines with minimum stiffness limits:collinear stiffness value based approach[J].Mechanism and Machine Theory, 2012, 49:67-86
    [6]
    Gosselin C. Stiffness mapping for parallel manipulators[J].IEEE Transactions on Robotics and Automation, 1990, 6(3):377-382
    [7]
    李树军, Clement G.3-RRR平面并联机构的刚度特性分析[J].东北大学学报:自然科学版, 2007, 28(1):91-94 Li Shujun, Clement G. Stiffness analysis and stiffness mapping of 3-RRR planar parallel mechanism based on CCT stiffness matrix[J].Journal of Northeastern University:Natural Science, 2007, 28(1):91-94(in Chinese)
    [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]
    Wu J, Wang J S, Wang L P, et al.Study on the stiffness of a 5-DOF hybrid machine tool with actuation redundancy[J].Mechanism and Machine Theory, 2009, 44(2):289-305
    [10]
    李永刚, 宋轶民, 黄田.少自由度并联机器人机构的静力分析[J].机械工程学报, 2007, 43(9):80-83 Li Yonggang, Song Yimin, Huang Tian.Static force analysis of lower-mobility parallel manipulators[J].Chinese Journal of Mechanical Engineering, 2007, 43(9):80-83(in Chinese)
    [11]
    崔学良. 冗余驱动支链对并联机构性能的改善及其控制方法研究[D].北京:北京亚洲成人在线一二三四五六区, 2010 Cui Xueliang.Research on the improvement in the capabilities of the parallel machine with the redundant leg and the control method[D].Beijing:Beijing University of Aeronautics and Astronautics, 2010(in Chinese)
    [12]
    Rezaei A, Akbarzadeh A, Akbarzadeh-T M R.An investigation on stiffness of a 3-psp spatial parallel mechanism with flexible moving platform using invariant form[J].Mechanism and Machine Theory, 2012, 51:195-216
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