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RESEARCH PAPERS

The Rayleigh-Ritz Method With Quasi-Comparison Functions in Nonself-Adjoint Problems

[+] Author and Article Information
P. Hagedorn

Institut für Mechanik, TH Darmstadt, Germany

J. Vib. Acoust 115(3), 280-284 (Jul 01, 1993) (5 pages) doi:10.1115/1.2930346 History: Received July 01, 1991; Online June 17, 2008

Abstract

In the determination of the first eigenmodes of continuous linear elastic systems the Rayleigh-Ritz method is often used. It is also very useful in the discretization of the elastic members of multibody systems undergoing large nonlinear motions. Recently the concept of quasi-comparison functions has been introduced for the Rayleigh-Ritz discretization in self-adjoint eigenvalue problems, where it may lead to a considerable improvement of the convergence when compared with other classes of admissible functions. In this paper it is shown with a simple example that a similar phenomenon also holds for nonself-adjoint problems. Since the exact solutions are known, precise information on the errors can be given.

Copyright © 1993 by The American Society of Mechanical Engineers
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