An Analytical Method of Synthesizing Mechanisms Based on Roulette Theory

[+] Author and Article Information
W. H. Bussell

Department of Mechanical Engineering, Auburn University, Auburn, Ala.

G. H. Martin

Department of Mechanical Engineering, Michigan State University, East Lansing, Mich.

J. Eng. Ind 89(1), 77-82 (Feb 01, 1967) (6 pages) doi:10.1115/1.3610018 History: Received June 28, 1966; Online August 25, 2011


An analytical method of synthesizing four-bar mechanisms based on the motion of the coupler-bar plane is presented. The method is based on the theory of roulettes, which treats of the paths of points in the plane of a curve which rolls without slipping on another curve. The method is used to devise a mechanism having a coupler-bar curve which will approximate a desired curve. Also, the method is used to synthesize a mechanism which will approximate a given input-output crank angle relationship. It is best utilized with a digital computer.

Copyright © 1967 by ASME
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