An efficient model for coupling structural vibrations with acoustic radiation

Abstract

In this paper, the problem of coupling between panel vibration and near and far field acoustic radiation is studied. The panel vibration is governed by the non-linear plate equations while the loading on the panel, which is the pressure difference across the panel, depends on the reflected and transmitted waves. Two models are used to solve this structural-acoustic interaction problem. One solves the three-dimensional non-linear Euler equations for the acoustic field coupled with the non-linear plate equations (the fully coupled model). The second uses the linear wave equation for the acoustic field and expresses the load as a double integral involving the panel oscillation (the decoupled model). The panel oscillation governed by a system of integro-differential equations is solved numerically and the acoustic field is then defined by an explicit formula. Numerical results are obtained using the two models for linear and non-linear panel vibration regimes excited by incident waves having different sound pressure levels. The predictions given by these two models are in good agreement, but the computational time needed for the “fully coupled model” is 60 times longer than that for “the decoupled model”. © 1995 by Academic Press, Inc.