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Analytic Form of the Six-Dimensional Singularity Locus of the General Gough-Stewart Platform

[+] Author Affiliations
Haidong Li, Clément M. Gosselin, Marc J. Richard, Boris Mayer-St-Onge

Université Laval, Québec, Québec, Canada

Paper No. DETC2004-57135, pp. 367-376; 10 pages
doi:10.1115/DETC2004-57135
From:
  • ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 28th Biennial Mechanisms and Robotics Conference, Parts A and B
  • Salt Lake City, Utah, USA, September 28–October 2, 2004
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4695-4 | eISBN: 0-7918-3742-4
  • Copyright © 2004 by ASME

abstract

The determination of the 6-D singularity locus of the general Gough-Stewart platform is discussed in this article. The derivation of the velocity equation and the corresponding Jacobian matrices is first presented. Then a new procedure is introduced to obtain the analytical expression of the singularity locus, which is a function of six variables (x, y, z, φ, θ, ψ), using the velocity equation. Examples are also given to illustrate the results obtained. Gough-Stewart platforms can be used in several robotic applications as well as in flight simulators. The determination of the singularity locus is a very important design and application issue.

Copyright © 2004 by ASME

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