Lower Bounds for the Buckling Loads and the Fundamental Frequencies of Elastic Bodies

[+] Author and Article Information
C. H. Popelar

Department of Engineering Mechanics, Ohio State University, Columbus, Ohio

J. Appl. Mech 41(1), 151-154 (Mar 01, 1974) (4 pages) doi:10.1115/1.3423212 History: Received November 01, 1972; Revised March 01, 1973; Online July 12, 2010


Within the classical theory of elastic stability a lower bound to the buckling load of an elastic body is presented. The Timoshenko load is shown to be a better upper bound to the buckling load than the Rayleigh load. By appropriate modifications of the potential and complementary energies, these bounds are applicable to the fundamental frequency of an elastic body. The application of the bounds is illustrated.

Copyright © 1974 by ASME
Topics: Stress , Buckling , Stability
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