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RESEARCH PAPERS

Buckling of an Elastic Elliptical Ring Inside a Rigid Boundary

[+] Author and Article Information
T. C. Soong, I. Choi

Xerox Corporation, Rochester, N.Y. 14644

J. Appl. Mech 52(3), 523-528 (Sep 01, 1985) (6 pages) doi:10.1115/1.3169094 History: Received May 01, 1984; Revised August 01, 1984; Online July 21, 2009

Abstract

The buckling of a thin, elastic ring confined in an elliptical hole whose circumference is smaller than that of the ring is studied. The effect of post-buckling slippage of the ring along the boundary with a corresponding curvature change is included. Buckling configurations with no friction that are (a) symmetric to one axis, and (b) symmetric to both axes, and (c) buckling configurations with no-slip are presented. Buckling with a strain energy consideration added as a criterion and buckling merely from compatibility alone are discussed. Results include curves for buckling loads of different ellipticities for different radius-to-thickness ratios.

Copyright © 1985 by ASME
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