The Deformation of a Thin, Incomplete, Elastic Ring in a Frictional Channel

[+] Author and Article Information
R. C. Benson

Department of Mechanical and Aerospace Sciences, University of Rochester, Rochester, N. Y. 14627

J. Appl. Mech 48(4), 895-899 (Dec 01, 1981) (5 pages) doi:10.1115/1.3157752 History: Received December 01, 1980; Online July 21, 2009


The deformation of a thin, incomplete, elastic ring being pushed through a frictional channel is analyzed. The problem is formulated using the nonlinear theory of the elastica and it is found that, depending on the channel geometry, either two deformed shapes for the ring are possible, or else no solution is possible. The results are applied to the design of machines such as plain-paper copiers, self-threading tapes, and sewing machines.

Copyright © 1981 by ASME
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