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RESEARCH PAPERS: Mechanisms Papers

The Global Least-Square Optimization of Function-Generating Linkages

[+] Author and Article Information
J. Angeles, A. Bernier

Department of Mechanical Engineering & Robotic Mechanical Systems Laboratory—McRCIM, McGill University, Montreal, Quebec, Canada H3A 2K6

J. Mech., Trans., and Automation 109(2), 204-209 (Jun 01, 1987) (6 pages) doi:10.1115/1.3267439 History: Received July 01, 1986; Online November 19, 2009

Abstract

As shown elsewhere, the approximate least-square synthesis of function-generating linkages can be formulated in terms of one single decision variable. Hence, functions representing global properties of linkages such as accuracy and transmission quality, which are terms precisely defined in this paper, as well as mobility type, are all functions of one single variable. The optimization procedure presented here is aimed at the synthesis of function-generating linkages with a minimum least-square design error and a maximum transmission quality, while meeting conditions prescribed on the type of mobility (crank or rocker) of its input and/or output links. Alternative performance indices and/or constraints can be treated likewise.

Copyright © 1987 by ASME
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