Component Mode Analysis of Nonlinear, Nonconservative Systems

[+] Author and Article Information
B. H. Tongue, E. H. Dowell

Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, N.J. 08544

J. Appl. Mech 50(1), 204-209 (Mar 01, 1983) (6 pages) doi:10.1115/1.3166994 History: Received April 01, 1982; Online July 21, 2009


In this paper a method for attacking coupled linear-nonlinear problems is developed. This method allows one to express the equations of motion with a number of equations proportional to the number of nonlinear constraints on the system rather than to the number of linear modes of the system. Both steady state and transient solutions are investigated for a system possessing cubic nonlinearities.

Copyright © 1983 by ASME
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