Active Vibration Control of the Axially Moving String by Wave Cancellation

[+] Author and Article Information
C. H. Chung, C. A. Tan

Department of Mechanical Engineering, Wayne State University, Detroit, MI 48202

J. Vib. Acoust 117(1), 49-55 (Jan 01, 1995) (7 pages) doi:10.1115/1.2873866 History: Received March 01, 1993; Revised August 01, 1993; Online February 26, 2008


Active vibration control of an axially moving string by wave cancellation is presented. The control problem is formulated in the frequency domain. An exact, closed-form expression for the transfer function of the controlled system, consisting of the flexible structure, a feedback control law and the dynamics of the sensing and actuation devices, is derived. It is shown that all vibration modes can be stabilized and that the controlled system has no resonance. Moreover, the designed controller is applicable to the control of the string transverse vibration under various kinds of loading and constraint conditions. Results for the response of the controlled string under different excitations are presented and discussed along with the wave propagation and cancellation characteristics.

Copyright © 1995 by The American Society of Mechanical Engineers
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