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Structural synthesis of maximally regular T3R2-type parallel robots via theory of linear transformations and evolutionary morphology

Published online by Cambridge University Press:  01 January 2009

G. Gogu
G. Gogu*
Affiliation:
Mechanical Engineering Research Group, French Institute of Advanced Mechanics and University Blaise Pascal Campus de Clermont-Ferrand-/-les Cezeaux, BP 265, 63175 Aubière, France E-mail: Grigore.Gogu@ifma.fr
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Summary

The paper presents structural synthesis of maximally regular T3R2-type parallel robotic manipulators (PMs) with five degrees of freedom. The moving platform has three independent translations (T3) and two rotations (R2). A method is proposed for structural synthesis of maximally regular T3R2-type PMs based on the theory of linear transformations and evolutionary morphology. A one-to-one correspondence exists between the actuated joint velocity space and the external velocity space of the moving platform. The Jacobian matrix mapping the two vector spaces of maximally regular T3R2-type PMs presented in this paper is the 5×5 identity matrix throughout the entire workspace. The condition number and the determinant of the Jacobian matrix being equal to one, the manipulator performs very well with regard to force and motion transmission capabilities. Kinematic analysis of maximally regular parallel robots is trivial and no computation is required for real-time control. This paper presents in a unified approach the structural synthesis of PMs with five degrees of freedom with decoupled and uncoupled motions, along with the maximally regular solutions.

Keywords

Parallel robotsFive-degree-of-freedomMaximally regularDecoupledUncoupledLinear transformationsEvolutionary morphology
Type
Article
Information
Robotica , Volume 27 , Issue 1 , January 2009 , pp. 79 - 101
Copyright
Copyright © Cambridge University Press 2008

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