Inverse Problems in Vibration

[+] Author and Article Information
Graham M. L. Gladwell

Solid Mechanics Division, University of Waterloo, Waterloo ON, Canada, N2L 3G1

Appl. Mech. Rev 39(7), 1013-1018 (Jul 01, 1986) (6 pages) doi:10.1115/1.3149517 History: Online June 12, 2009


This article concerns infinitesimal free vibrations of undamped elastic systems of finite extent. A review is made of the literature relating to the unique reconstruction of a vibrating system from natural frequency data. The literature is divided into two groups—those papers concerning discrete systems, for which the inverse problems are closely related to matrix inverse eigenvalue problems, and those concerning continuous systems governed either by one or the other of the Sturm–Liouville equations or by the Euler–Bernoulli equation for flexural vibrations of a thin beam.

Copyright © 1986 by American Society of Mechanical Engineers
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