Active and passive Damping of Euler-Bernoulli Beams and Their Interactions

[+] Author and Article Information
S. T. Pang, T.-C. Tsao

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

L. A. Bergman

Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Dyn. Sys., Meas., Control 115(3), 379-384 (Sep 01, 1993) (6 pages) doi:10.1115/1.2899113 History: Received September 23, 1991; Revised December 07, 1992; Online March 17, 2008


Active and Passive damping of Euler-Bernoulli beams and their interactions have been studied using the beam’s exact transfer function model without mode truncation or finite element or finite difference approximation. The combination of viscous and Voigt damping is shown to map the open-loop poles and zeros from the imaginary axis in the undamped case into a circle in the left half plane and into the negative real axis. While active PD collocated control using sky-hooked actuators is known to stabilize the beam, it is shown that the derivative action using proof-mass (reaction-mass) actuators can destabilize the beam.

Copyright © 1993 by The American Society of Mechanical Engineers
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