Response Bounds for Linear Damped Systems

[+] Author and Article Information
B. Hu, P. Eberhard

Institute B of Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany

J. Appl. Mech 66(4), 997-1003 (Dec 01, 1999) (7 pages) doi:10.1115/1.2791810 History: Revised January 19, 1998; Received August 24, 1998; Online October 25, 2007


In this paper response bounds of linear damped systems are reviewed and new response bounds are presented for free vibrations and forced vibrations under impulsive, step, and harmonic excitation. In comparison to the response bounds available in the literature, the ones presented here are not only closer to the exact responses, but are also simpler to compute. Previous bounds are given only on the Euclidean norm of the state vector or the displacement vector. Here, the response bounds are also given on individual coordinates, information which is more meaningful in engineering.

Copyright © 1999 by The American Society of Mechanical Engineers
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