Acoustic modeling and eigenanalysis of the coupled cavities with panels

Abstract

This paper presents a theoretical investigation on the vibro-acoustic characteristics of the model consisting of two cavities coupled with panels by the Spectro-Geometric method (SGM), in which the displacement function of the panel and the sound field inside the cavities are expressed as a 2D and 3D Fourier cosine series with auxiliary functions, respectively. The auxiliary functions are introduced to account for the continuity at the interface of the panel-cavity. The fully coupled system is established based on the Rayleigh-Ritz procedure and Hamilton’s principle, in which two cavities are variable in volume. The present method here provides a unified procedure for the modal characteristics of the cavity-panel-cavity system. To ensure the accuracy and validity of the present method, the natural frequencies and the forced pressure response of the coupled model are verified against results obtained by FEM. The influence of the coupling panels and boundary conditions on the acoustic characteristics of the coupled system are studied, including: multiple coupling panels, panel size, panel positions, model shapes and boundary conditions.