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Synthesis of a Stephenson II Function Generator for Eight Precision Positions

[+] Author Affiliations
Mark M. Plecnik, J. Michael McCarthy

University of California, Irvine, CA

Paper No. DETC2013-12763, pp. V06AT07A050; 10 pages
doi:10.1115/DETC2013-12763
From:
  • ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6A: 37th Mechanisms and Robotics Conference
  • Portland, Oregon, USA, August 4–7, 2013
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5593-5
  • Copyright © 2013 by ASME

abstract

This paper presents a synthesis methodology for a Stephenson II six-bar function generator that provides eight accuracy points, that is it ensures the input and output angles of the linkage match at eight pairs of specified values. A complex number formulation of the two loop equations of the linkage and a normalization condition are used to form the synthesis equations, resulting in 22 equations in 22 unknowns. These equations are solved using the numerical homotopy continuation solver, Bertini. The approach is illustrated with an example.

Copyright © 2013 by ASME
Topics: Generators

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