Abstract:
From experimental data collected on ensembles and from analytical verification studies of structural acoustic systems, it is apparent that there is a mid-frequency range where dominant structural acoustic responses cannot be sufficiently described deterministically or statistically. The focus of this presentation is to describe work to derive a general and rigorous definition for the frequency limits of the mid-frequency range. The statistical behavior of system response in this range is described through the analysis of the analytical expressions for the displacement of Bernoulli--Euler beams. Additionally, work to develop a numerical analysis technique which can be implemented in a finite element formulation is discussed and the possible connections between it and current techniques for energy flow analysis in the high-frequency range are made.