- Dowell, E.H. and Kubota, Y., Asymptotic modal analysis and statistical energy analysis of dynamical systems,
Trans. ASME, J. Appl. Mech. (USA), vol. 52 no. 4
pp. 949 - 57 .
(last updated on 2007/04/10)
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
classical mechanics of discrete systems;dynamics;statistical analysis;vibrations;