Abstract

Abstract Statistical Energy Analysis (SEA) methods have been used to obtain the mean square vibrational energy levels of connected structures under certain conditions of coupling and excitation by random, uncorrelated forcing. Simple relationships between spatially averaged energies or velocities to stress and strain have been developed. However, the prediction of spatial variations in dynamic stress distribution at boundaries and discontinuities is more difficult and very few studies have been made in the SEA context. This paper first compares SEA predicted spatially averaged mean square stress to that of a FEA model of a simple two-plate system. Then it studies the behaviour of the dynamic stress concentration factors at the clamped boundary and also at the corner of a square hole in a flat plate at different frequency ranges using FEA models. The method used here is particularly useful for SEA applications, the stresses being normalized to unit power input. Certain assumptions for stress prediction at boundaries from SEA derived uniform stresses are also verified.

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