Shaped Input Control of a System With Multiple Modes

[+] Author and Article Information
T. Singh

Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141

G. R. Heppler

Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

J. Dyn. Sys., Meas., Control 115(3), 341-347 (Sep 01, 1993) (7 pages) doi:10.1115/1.2899108 History: Received November 07, 1991; Online March 17, 2008


This paper describes a method for limiting vibration in flexible systems that have more than one characteristic frequency and mode. It is only necessary to have knowledge of the component mode frequencies and damping ratios in order to be able to calculate the timing and magnitudes of the impulse sequence used in the shaping. Only two impulses, in the nonrobust case, or three impulses in a more robust case, are necessary regardless of the number of component frequencies. Simple tests are established to determine when this technique can be used and examples are presented.

Copyright © 1993 by The American Society of Mechanical Engineers
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