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

Author:

Benson R. C.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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