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Author:

Liu, Shanzeng (Liu, Shanzeng.) | Yu, Yueqing (Yu, Yueqing.) (Scholars:余跃庆) | Si, Guoning (Si, Guoning.) | Yang, Jianxin (Yang, Jianxin.) | Su, Liying (Su, Liying.)

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EI Scopus PKU CSCD

Abstract:

The primary goal is the kinematic and dynamic analysis of a spatial 3 degree-of-freedom parallel manipulator (a 3-RRS parallel manipulator). The architecture of the mechanism is comprised of a moving platform attached to a fixed platform through three identical revolute-revolute-spherical jointed serial linkages. A complete description of the position and orientation of the moving platform with respect to the reference frame requires six variables, i.e., the three Cartesian coordinates of a reference point on the moving platform and three angles. However, since the parallel manipulator has two degrees of orientation freedom and one degree of translatory freedom, which implies that only three variables can be specified independently. Firstly, the constraint equations describing the inter-relationship between the six motion coordinates of the moving platform are derived. Closed form solutions to the constraint equations are found which provide the constrained variables as functions of the unconstrained (specified) variables. Some significant conclusions are drawn from the closed form solutions. Then, the dynamic equations of the parallel manipulator are presented on the basis of Lagrange equation. Based on the dynamic model, the angular velocities, the driving force or torque and consumed energy of the actuators are analyzed through an example. The analysis provides necessary information for dynamic performance analysis, optimal design and control of the parallel mechanism. ©2009 Journal of Mechanical Engineering.

Keyword:

Mechanisms Equations of motion Dynamics Manipulators Degrees of freedom (mechanics) Lagrange multipliers Fixed platforms Kinematics

Author Community:

  • [ 1 ] [Liu, Shanzeng]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Liu, Shanzeng]School of Mechanical and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China
  • [ 3 ] [Yu, Yueqing]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
  • [ 4 ] [Si, Guoning]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
  • [ 5 ] [Yang, Jianxin]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
  • [ 6 ] [Su, Liying]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China

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Source :

Journal of Mechanical Engineering

ISSN: 0577-6686

Year: 2009

Issue: 8

Volume: 45

Page: 11-17

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 39

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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