Asymptotic Modal Analysis and Statistical Energy Analysis of Dynamical Systems

[+] Author and Article Information
E. H. Dowell, Y. Kubota

Duke University, Durham, N.C. 27706

J. Appl. Mech 52(4), 949-957 (Dec 01, 1985) (9 pages) doi:10.1115/1.3169174 History: Received April 01, 1984; Revised February 01, 1985; Online July 21, 2009


A new derivation of the results commonly referred to as Statistical Energy Analysis (SEA) is given by studying the asymptotic behavior of classical modal analysis for a general, linear (structural) system. It is shown that, asymptotically, the response at (almost) all points of the system is the same. A numerical example is used to illustrate the way in which the asymptotic limit is approached. Both random and sinusoidal loadings are considered; for the latter an extension of the usual SEA result is obtained.

Copyright © 1985 by ASME
Topics: Dynamic systems , Seas
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