The response of a cavity backed panel to external airborne excitation: A general analysis

Abstract

A multimodal analysis is made of the response of a cavity-backed panel to an arbitrarily defined external forcing function. A general solution is developed which details the systems ’’characteristic functions.’’ These functions are examined and their properties detailed, in particular, the evaluation of poles and their representation in partial fraction form is achieved. Any external forcing function, provided that it is susceptible to finite Fourier cosine transformation with respect to spatial dependence and Laplace transformation with respect to temporal history, may be applied to the ’’characteristic functions’’ to determine the panel response. The general analysis is applied to the specific case of constant external pressure loading and the derived expressions are favorably compared with, and represent a further development of an accepted contemporary work.