Nonlinear Analysis of Steep, Compressible Arches of Any Shape

[+] Author and Article Information
J. V. Huddleston

State University of New York at Buffalo, Buffalo, N. Y.

J. Appl. Mech 38(4), 942-946 (Dec 01, 1971) (5 pages) doi:10.1115/1.3408979 History: Received October 27, 1969; Revised April 27, 1971; Online July 12, 2010


The buckling and snap-through behavior of steep arches is studied by treating the arch as a compressible, curved elastica. A technique previously developed for circular arches is here generalized for arches of any shape. As before, the system is described by a two or three-point boundary-value problem containing simultaneous, nonlinear, first-order differential equations. This problem is solved by a shooting method augmented by a Newton-Raphson technique for finding the original curvature at any point along the arch. Selected results for a circular and a parabolic arch under concentrated load are given, including symmetric and unsymmetric modes of buckling.

Copyright © 1971 by ASME
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