Branching Analysis at Coincident Buckling Loads of Nonconservative Elastic Systems

[+] Author and Article Information
R. H. Plaut

Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va.

J. Appl. Mech 44(2), 317-321 (Jun 01, 1977) (5 pages) doi:10.1115/1.3424044 History: Received August 01, 1976; Revised December 01, 1976; Online July 12, 2010


Discrete nonconservative elastic systems which lose stability by buckling (divergence) are considered. Simple (distinct) critical points were treated previously, and the case of coincident buckling loads is analyzed here. An asymptotic procedure in the neighborhood of the critical point is used to determine postbuckling behavior and imperfection-sensitivity. It is shown that the system may exhibit no bifurcation at all. In other cases postbuckling paths may be tangential to the fundamental path at the critical point. The sensitivity to imperfections is shown to be more severe than for systems with distinct buckling loads (e.g., one-third, one-fourth, and one-fifth power laws are obtained for certain cases).

Copyright © 1977 by ASME
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