Wave based method for vibro-acoustic analysis of a plate-cavity system with elastically restrained plate and irregularly shaped cavity

Wave based method (WBM) is an efficient technique for steady-state dynamic analysis. This paper applies this method to analyze the vibroacoustic behavior of a plate-cavity system with a flexible plate and an irregularly-shaped cavity. It concerns the vibration of the plate backed by the irregular acoustic cavity and also the acoustic property of the cavity bounded by the flexible plate with elastically restrained edges. Both two-dimensional (2D) and three-dimensional (3D) wave based models of the vibroacoustic system are built. The elastically restrained boundary conditions of the plate are introduced into the models in different ways, where in the 2D model they are applied directly and in the 3D model they are considered by modifying the weighted residual formula of the conventional WBM. The models are then verified with corresponding simulations by finite element method (FEM), within which the efficiency of the WBM, especially in the mid frequency range, is shown. Finally, parametric studies of the influence of the plate boundary conditions and the cavity geometry on the system response are performed using the 2D wave based model. The paper shows the way to apply WBM for vibro-acoustic problem when the plate edges are elastically restrained and even affected by viscous damping. It also demonstrates the efficiency and effectiveness of the wave based model for parametric studies, which are helpful for model parameter identification or product design.