The Wave Reflection Matrix in Beam Vibration Control

[+] Author and Article Information
J. Van de Vegte

Department of Mechanical Engineering, University of Toronto, Toronto, Canada

J. Dyn. Sys., Meas., Control 93(2), 94-101 (Jun 01, 1971) (8 pages) doi:10.1115/1.3426485 History: Received July 23, 1970; Online July 13, 2010


Vaughan [1 ] has considered the use of wave reflection concepts in the control of lateral vibrations of slender uniform beams. In this paper a different form of the wave reflection matrix is derived, which gives a clearer correlation between the values of its elements and the system response characteristics. In particular, the value of one element is shown to have a strongly dominating effect on the response.

Copyright © 1971 by ASME
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