Free Vibrations of an Arbitrary Structure in Terms of Component Modes

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

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

J. Appl. Mech 39(3), 727-732 (Sep 01, 1972) (6 pages) doi:10.1115/1.3422780 History: Received February 08, 1971; Revised July 06, 1972; Online July 12, 2010


A method for the analysis of the free vibrations of an arbitrary structure in terms of component modes is presented based upon the use of the normal, free-free modes of the components in a Rayleigh-Ritz analysis with the constraint or continuity conditions between components enforced by means of Lagrange multipliers. Several examples are given and the advantages of such a procedure over more conventional methods are discussed.

Copyright © 1972 by ASME
Topics: Free vibrations
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