RESEARCH PAPERS: Mechanisms Papers

Singular Solutions in Burmester Theory

[+] Author and Article Information
R. E. Kaufman

Massachusetts Institute of Technology, Cambridge, Mass.

J. Eng. Ind 95(2), 572-576 (May 01, 1973) (5 pages) doi:10.1115/1.3438192 History: Received June 22, 1972; Online July 15, 2010


A unified complex number development of four position planar finite position theory is presented. This formulation shows that Burmester circlepoint-centerpoint theory specializes to include slider points, concurrency points, poles, and point position reduction by proper interpretation of the trivial roots of the general synthesis equations. Thus a single design technique can be used for the multiposition synthesis of most pin or slider-jointed planar mechanisms. Four position function, path, or motion generating linkages can all be designed in this manner.

Copyright © 1973 by ASME
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