Closed-Form Transient Response of Distributed Damped Systems, Part II: Energy Formulation for Constrained and Combined Systems

[+] Author and Article Information
Bingen Yang

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

J. Appl. Mech 63(4), 1004-1010 (Dec 01, 1996) (7 pages) doi:10.1115/1.2787216 History: Received November 28, 1994; Revised August 15, 1996; Online October 26, 2007


The transient response analysis presented in Part I is generalized for distributed damped systems which are viscoelastically constrained or combined with lumped parameter systems. An energy formulation is introduced to regain symmetry for the spatial differential operators, which is destroyed in the original equations of motion by the constraints, and the coupling of distributed and lumped elements. As a result, closed-form solution is systematically obtained in eigenfunction series.

Copyright © 1996 by The American Society of Mechanical Engineers
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