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RESEARCH PAPERS

Determining Burmester Points from the Analysis of a Planar Platform

[+] Author and Article Information
A. P. Murray, J. Michael McCarthy

Department of Mechanical Engineering, University of California, Irvine, Irvine, CA 92717

J. Mech. Des 117(2A), 303-306 (Jun 01, 1995) (4 pages) doi:10.1115/1.2826139 History: Received August 04, 1994; Online December 11, 2007

Abstract

This paper presents a technique for determining the Burmester points of five finitely separated positions in a plane. A Burmester point is the location of the fixed pivot of an RR dyad that can reach each of the five positions. These Burmester points are obtained from a “compatibility platform” constructed from selected relative poles associated with the five specified displacements. We show that the relative position pole of two assembly configurations of this platform is a fixed pivot compatible with the five positions. An example originally presented by Sandor and Erdman is used to verify the calculations.

Copyright © 1995 by The American Society of Mechanical Engineers
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