RESEARCH PAPERS: System Response

Eigenanalysis of the Rigid Body Motion Effect on Elastic Systems

[+] Author and Article Information
A. Maher, A. L. Schlack

Department of Engineering Mechanics, University of Wisconsin, Madison, Wisc.

J. Vib., Acoust., Stress, and Reliab 105(4), 461-466 (Oct 01, 1983) (6 pages) doi:10.1115/1.3269129 History: Received June 28, 1982; Online November 23, 2009


In this paper, the influence of rigid body motion on the behavior of a vibrating elastic system is treated by the development of a difference eigenvalue problem. The maximum possible changes in eigenfrequencies due to removal of constraints are obtained by the employment of the bound approach [1, 2]. As an application to a structural system the Rayleigh-Ritz procedure is employed for constructing the difference eigenvalue problem. Discussion of the use of the method for various types of engineering problems is outlined. An example of a free vibration analysis of a simply supported beam in plane motion with a nonuniform mass and elasticity distribution is solved. A comparison between computer calculations and previously published results is presented.

Copyright © 1983 by ASME
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