Asymptotic Modal Analysis and Statistical Energy Analysis of an Acoustic Cavity

One of the outstanding theoretical questions in interior noise is the connection between modal analysis and statistical energy analysis. Recently substantial progress has been made in understanding this connection for structural vibrations including both fundamental theoretical work and experimental verification. It has been shown that many of the results of Statistical Energy Analysis can be derived as an asymptotic limit of classical modal analysis and thus this approach is called Asymptotic Modal Analysis. The basic asymptotic theory for structural wall-acoustic cavity interaction is described in this paper. Several numerical examples are presented for acoustic cavity response with a prescribed wall motion to illustrate the key results of the theory.