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RESEARCH PAPERS

Equivalence of a Constrained Minimum Weight and Maximum Column Buckling Load Problem With Solution

[+] Author and Article Information
J. C. Hornbuckle

Armament and Development Test Center, Elgin AFB, Florida

W. H. Boykin

Department of Engineering Sciences, University of Florida, Gainesville, Fla.

J. Appl. Mech 45(1), 159-164 (Mar 01, 1978) (6 pages) doi:10.1115/1.3424220 History: Received May 01, 1976; Revised March 01, 1977; Online July 12, 2010

Abstract

Packaged computer programs are available for solving the two-point boundary-value problems resulting from well-posed structural optimization problems. These methods generally require a standard form of representation of the structure’s equations and the other necessary conditions for optimization. At the same time there is a duality between minimum weight designs of structures and maximum load designs. If the maximum load design problem is an eigenvalue problem associated with the mini-max problem of the Rayleigh quotient, standard forms of representation are complex. This complexity has lead to a simple equivalence statement of the problems of minimum column weight and maximum buckling load; and, has produced a straight forward solution technique for maximum load problems.

Copyright © 1978 by ASME
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