Free Vibrations of a Linear Structure With Arbitrary Support Conditions

[+] Author and Article Information
E. H. Dowell

Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, N. J.

J. Appl. Mech 38(3), 595-600 (Sep 01, 1971) (6 pages) doi:10.1115/1.3408860 History: Received June 26, 1970; Online July 12, 2010


A method for the analysis of the free vibrations of a linear structure supported in an arbitrary way is presented based upon the use of the normal modes of the unsupported or unconstrained structure in a Rayleigh-Ritz analysis with the support or constraint conditions enforced by means of Lagrange multipliers. The advantages of such a procedure over more conventional methods are discussed.

Copyright © 1971 by ASME
Topics: Free vibrations
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