Asymptotic Modal Analysis and Statistical Energy Analysis of Dynamical Systems

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 sam...

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Bibliographic Details
Published in:Journal of applied mechanics 1985-12, Vol.52 (4), p.949-957
Main Authors: Dowell, E. H, Kubota, Y
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
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Summary: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.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.3169174