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RESEARCH PAPERS

Frequency Domain Stability Criterion for Vibration Control of the Bernoulli-Euler Beam

[+] Author and Article Information
Yossi Chait, Clark J. Radcliffe

Department of Mechanical Engineering, Michigan State University, East Lansing, Mich. 48824

C. R. MacCluer

Department of Mathematics, Michigan State University, East Lansing, Mich. 48824

J. Dyn. Sys., Meas., Control 110(3), 303-307 (Sep 01, 1988) (5 pages) doi:10.1115/1.3152686 History: Received December 16, 1987; Online July 21, 2009

Abstract

A new single-input single-output frequency domain stability criterion for distributed parameter systems is illustrated by application to feedback control of a Bernoulli-Euler beam. The system is modeled using an infinite partial fraction expansion, while the control design is based on a truncated model. The Nyquist plot is shown to lie within a “tube of uncertainty” of the plot for the truncated model. Several numerical examples illustrate the power and simplicity of this criterion.

Copyright © 1988 by ASME
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