RESEARCH PAPERS: Mechanisms Papers

On the Use of the Undulating Elastica for the Analysis of Flexible Link Mechanisms

[+] Author and Article Information
T. E. Shoup

Rutgers, The State University, New Brunswick, N. J.

C. W. McLarnan

The Ohio State University, Columbus, Ohio

J. Eng. Ind 93(1), 263-267 (Feb 01, 1971) (5 pages) doi:10.1115/1.3427884 History: Received July 27, 1970; Online July 15, 2010


The equations of the undulating elastica describing the static behavior of an end-loaded flexible strip include forces, elastic properties, dimensions, and some parameters which are not physically measurable. This paper presents techniques whereby the designer can determine reasonable first approximations to the parameters contained in the equations of the undulating elastica. These first approximations are particularly useful for the iterative solution of the equations for the force or motion analysis of flexible link mechanisms containing one or more members that undergo large elastic deflections. Examples of the application of these techniques are presented.

Copyright © 1971 by ASME
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