Both Bounds to Buckling Loads and Fundamental Frequencies

[+] Author and Article Information
R. Schmidt

College of Engineering and Science, University of Detroit, Detroit, MI 48221

J. Appl. Mech 61(2), 479-480 (Jun 01, 1994) (2 pages) doi:10.1115/1.2901474 History: Received June 02, 1992; Revised March 04, 1993; Online March 31, 2008


A simple procedure for improving the Krylov-Bogolyubov-Weinstein-Isaacson-Keller (KBWIK) lower bound and the Rayleigh upper bound to the first eigenvalue is described and illustrated by examples. The procedure makes use of the method of successive approximations, the Rayleigh-Schwarz quotients, the Krylov-Bogolyubov enclosure theorem, and the Temple inequality.

Copyright © 1994 by The American Society of Mechanical Engineers
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