Instability Analysis of Pressure-Loaded Thin Arches of Arbitrary Shape

[+] Author and Article Information
T. Q. Ye

Northwestern Polytechnical University, Xi’an, Shaanxi, China

R. H. Gallagher

College of Engineering, University of Arizona, Tucson, Ariz. 85721

J. Appl. Mech 50(2), 315-320 (Jun 01, 1983) (6 pages) doi:10.1115/1.3167038 History: Received January 01, 1982; Revised December 01, 1982; Online July 21, 2009


The governing differential equations and the virtual work expressions for the large displacement analysis of thin arches of arbitrary shape, subjected to pressure loads, are derived. The virtual work expressions are employed as the basis for formulation of finite element stiffness equations. Classical solutions are obtained, from the differential equations, for the buckling of circular rings under uniform “follower” (hydrostatic) and “dead” (constant direction) pressure loadings. Finite element solutions are calculated for elliptical rings for a wide range of axis ratios.

Copyright © 1983 by ASME
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