Optimal Control of Beams With Dynamic Loading and Buckling

[+] Author and Article Information
Y.-A. Su, I. G. Tadjbakhsh

Department of Civil Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

J. Appl. Mech 58(1), 197-202 (Mar 01, 1991) (6 pages) doi:10.1115/1.2897149 History: Received September 21, 1989; Revised March 16, 1990; Online March 31, 2008


The vibration of beams can be suppressed by a set of discrete actuators associated with a causal optimal, coupled-modal control algorithm which is derived from minimizing a time-dependent weighted sum of the kinetic energy, potential energy, and the control effort. The control gains are functions of the control interval and couple the modes that participate in the control. The controller can be applied to control a beam subjected to a resonant cyclic load, a moving load, and a beam column subjected to a unit impuse at midspan before buckling.

Copyright © 1991 by The American Society of Mechanical Engineers
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