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Kinematic Analyses of 5-DOF 3-RCRR Parallel Mechanism

[+] Author Affiliations
Zhen Huang, Si J. Zhu

Yanshan University, Qinhuangdao, Hebei, China

Paper No. DETC2005-84462, pp. 993-999; 7 pages
doi:10.1115/DETC2005-84462
From:
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 29th Mechanisms and Robotics Conference, Parts A and B
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4744-6 | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME

abstract

This paper presents the kinematic analyses of a 5-DOF 3-RCRR parallel mechanism. The end-effector of this mechanism can rotate round rotation center and one reference point on it can translate in a plane parallels to the base platform. Since the traditional Kutzbach-Grübler formula is not valid for this mechanism, the modified Kutzbach-Grübler formula and screw theory are used in the mobility analysis. The Duffy’s spherical analytic theory is used in forward/reverse position analyses. In forward/reverse velocity/acceleration analyses, virtual mechanism principle is used to build a virtual parallel mechanism (3-Pv RCRR), which is equivalent to the initial mechanism (3-RCRR) on kinematics if all rates of virtual pairs (Pv ) are set to be zero. At the end, some kinematics curves are presented with a numerical example.

Copyright © 2005 by ASME

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