Sound radiation of the plate with arbitrary holes

Abstract

Vibroacoustics of plates with arbitrary holes is a common problem in engineering and it is essential to develop a fast and efficient model to calculate the relevant parameters of the sound radiation of plates with arbitrary holes. In this paper, a unified and fast computational method based on the spectral-geometry method (SGM) is proposed for the first time to investigate the sound radiation characteristics of elastically constrained plates with arbitrary holes, where the open part of the plate is considered as an extremely thin section and the displacement of the plate can be expanded to a modified Fourier series, which deals with the discontinuity of the original cosine function at the elastic constraint boundary by adding additional terms to the conventional Fourier cosine function. The unknown Fourier coefficients are considered as an independent set of generalised coordinates and solved by the Rayleigh-Ritz method. The Rayleigh integral equation for sound radiation is used to calculate the sound radiation of the plate structure. The accuracy of the method in this paper is verified by comparison with the finite element method (FEM). The effect of each parameter on the sound radiation characteristics of the plate with arbitrary holes is investigated by detailed parametric analysis. This paper provides a reference for the application of plates with arbitrary holes in engineering.