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RESEARCH PAPERS

The Nature of Self-Excitation in the Flow-Induced Vibration of Flat Plates

[+] Author and Article Information
P. S. Eagleson, J. W. Daily

Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass.

G. K. Noutsopoulos

Bechtel Corporation, San Francisco, Calif.

J. Basic Eng 86(3), 599-606 (Sep 01, 1964) (8 pages) doi:10.1115/1.3653181 History: Received July 29, 1963; Online November 03, 2011

Abstract

Flow-induced vibrations of flat plates are studied in water. An equation of motion of the plate-spring system is formulated incorporating the hydrodynamic loads given by the linearized potential theory, and the unknown, vortex-induced, forcing moments. Considerations of bluff-body wake dynamics show the coefficient of this forcing moment to be a function of the steady-body Strouhal number, the chord-to-thickness ratio, and a self-excitation parameter which contains the transverse body motion. This function is evaluated for plates with different trailing edges using experimental measurements of vibrational amplitude and frequency, and the nature of its dependence on vibration is shown to be equivalent to a negative damping. The poles of the amplitude-response relation are shown to predict the bounds of the zone in which large vibrational (“singing”) motion occurs. Criteria are offered for the design of systems to avoid these self-excited vibrations.

Copyright © 1964 by ASME
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