Closed-Form Transient Response of Distributed Damped Systems, Part I: Modal Analysis and Green’s Function Formula

[+] Author and Article Information
Bingen Yang

Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453

J. Appl. Mech 63(4), 997-1003 (Dec 01, 1996) (7 pages) doi:10.1115/1.2787258 History: Received November 28, 1994; Revised August 15, 1995; Online October 26, 2007


An analytical method is developed for closed-form estimation of the transient response of complex distributed parameter systems that are nonproportionally damped, and subject to arbitrary external, initial, and boundary excitations. A new modal analysis leads to the Green’s function formula for the distributed system and an eigenfunction expansion of the system Green’s function. The legitimacy of the modal expansion is also shown.

Copyright © 1996 by The American Society of Mechanical Engineers
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