Study of a 3-DOF parallel manipulator dynamics based on Lagrange's equation
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摘要: 针对一种三自由度的并联机构采用Lagrange方程建立了动力学方程,得出了机构驱动力显式解.用计算机程序模拟了动平台做圆周运动时驱动力的变化情况以及机构简化所产生驱动力误差的大小,给出了可以对机构进行简化的条件.分析了机构的结构参数与驱动力的关系,为这种机构动力学特性的深入分析和结构优化设计提供了参考.Abstract: Based on Lagrange's equation, the dynamic equation of a 3-DOF parallel manipulator was established and the drive force acted on the mechanism was given. Computer simulation was performed to investigate the driving forces variation when the platform moves along a circle and to study the force errors due to the model simplification, based on which, the condition for simplification was given. The relation between system parameters and drive force of the mechanism was obtained. The results provided references for detailed research on dynamic characteristics and optimal design of the parallel machine tools.
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Key words:
- dynamics /
- Lagrange's equation /
- simulation /
- parallel mechanism
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[1] 黄 真,孔令富,方跃法. 并联机器人机构学理论及控制[M]. 北京:机械工业出版社,1997 Huang Zhen, Kong Lingfu, Fang Yuefa. Theory and control of parallel robotics[M]. Beijing:China Machine Press, 1997(in Chinese) [2] Fichter E F. A Stewart platform based manipulator:general theory and practical construction[J]. The International Journal of Robotics Research, 1986, 5(2):157~182 [3] Dasgupta B, Mruthyunjaya T S. A Newton-Euler formulation for the inverse dynamics of the Stewart platform manipulator[J]. Mechanism and Machine Theory, 1998, 33(8):1135~1152 [4] 郭祖华. 并联刀具磨床的动力学优化设计. 北京:北京航空航天大学机械工程及自动化学院,2001 Guo Zuhua. Dynamics optimization design on parallel CNC cutter grinding machine tool. Beijing:School of Mechanical Engineering and Automation,Beijing University of Aeronautics and Astronautics,2001(in Chinese) [5] 邱志成,谈大龙,赵明扬. 并联机器人研究现状[J]. 机械制造,2000,38(428):27~29 Qiu Zhicheng, Tan Dalong, Zhao Mingyang. Current situation of research on parallel robots[J]. Machinery, 2000,38(428):27~29(in Chinese) [6] 黄 田,倪雁冰,王 洋,等. 3-HSS并联机床运动学设计[J]. 制造技术与机床,2000,(3):10~12 Huang Tian, Ni Yanbing, Wang Yang, et al. Kinematics design of 3-HSS parallel machine tools[J]. Manufacturing Technology & Machine Tool, 2000,(3):10~12(in Chinese) [7] 张立杰,刘辛军. 一种并联机构最大内切工作空间的几何求解[J]. 机械设计与研究,2002,18(1):20~22 Zhang Lijie, Liu Xinjun. Geometric description of the maximum inscribed workspace of a DELTA parallel robot[J]. Machine Design and Research, 2002, 18(1):20~22(in Chinese) [8] 倪雁冰,王 洋,张玉敏,等. 3-HSS虚轴机床位置正解算法[J]. 机械设计,2000,(5):10~11 Ni Yanbing, Wang Yang, Zhang Yumin, et al. Algorithm of forward solution for positions of 3-HSS virtual axis machine tools[J]. Mechanical Design, 2000,(5):10~11(in Chinese)
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