The Control of Parametric Vibration in a Simply Supported Beam

[+] Author and Article Information
J. S. Burdess

Department of Mechanical Engineering, University of Newcastle Upon Tyne, Newcastle Upon Tyne, England

J. Vib., Acoust., Stress, and Reliab 109(3), 315-318 (Jul 01, 1987) (4 pages) doi:10.1115/1.3269437 History: Received March 04, 1987; Online November 23, 2009


The paper shows how unstable parametric vibrations of a uniform beam can be controlled. A control law is proposed and it is shown that the beam can be made to vibrate at a present amplitude at its natural frequency. The beam is modelled by its first mode and a solution to the governing equation of motion is derived by applying the multiple scales perturbation method. The results of the theoretical analysis are verified by a numerical simulation.

Copyright © 1987 by ASME
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