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Investigation of axial forces on dynamic properties of a flexible 3-PRR planar parallel manipulator moving with high speed

Published online by Cambridge University Press:  11 August 2009

Xuping Zhang ,
James K. Mills  and
William L. Cleghorn
Xuping Zhang*
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, CanadaM5S 3G8
James K. Mills
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, CanadaM5S 3G8
William L. Cleghorn
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, CanadaM5S 3G8
*
*Corresponding author. E-mail: zhxp@mie.utoronto.ca
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Summary

The effect of axial forces on the dynamic properties is formulated and investigated for a 3-PRR planar parallel manipulator with three flexible intermediate links. A dynamic model of the manipulator system is developed based on the assumed mode method with the consideration of the effect of longitudinal forces on lateral stiffness is included. The flexible intermediate links are modeled as Euler–Bernoulli beams with pinned-pinned boundary conditions, which are verified by experimental modal tests. Natural frequencies of bending vibration of the intermediate links are derived as the functions of axial force and rigid-body motion of the manipulator. Dynamic behavior including the effect of axial forces on lateral deformation is investigated, and configuration-dependant frequencies are analyzed. Numerical simulations of configuration-dependent frequency properties and axial forces are performed to illustrate the effect of axial forces on the dynamic behaviors of the flexible parallel manipulator. Simulation results of mode amplitudes, deformations, axial forces, inertial, and coupling forces are presented, and further validate the theoretical derivations. These analyses and results provide a new and valuable insight to the design and control of the parallel manipulators with flexible intermediate links.

Keywords

Flexible manipulatorsParallel manipulatorsAssumed mode methodDynamic stiffeningAxial force
Type
Article
Information
Robotica , Volume 28 , Issue 4 , July 2010 , pp. 607 - 619
Copyright
Copyright © Cambridge University Press 2009

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