Structural–Acoustic Modeling and Analysis for a Flexible Partition Panel in Three-Dimensional Acoustic Cavity

Abstract

Structural–acoustic coupling problem can be commonly seen in sound field analysis and noise reduction areas. It is of great significance for the further research of the structural–acoustic coupling between flexible panel and enclosure cavity. For the purpose of this paper, a three-dimensional acoustic cavity with flexible partition is modeled. The field functions of structural–acoustic coupling solution domain are described by employing improved Fourier series method. Various different boundary conditions of the panel partition are presented by means of continuous distribution of restrained springs along each edge of the panel partition. The general formula considering the structural–acoustic coupling between the panel and the cavities is obtained by the Rayleigh–Ritz method based on the energy principle. A series of numerical examples are given to demonstrate the performance of the present method by comparison with FEM, as well as experimental works. Meanwhile, the results are provided to examine the effect of the translational and rotational stiffness of structural boundaries on the structural–acoustic coupling characteristics of the model. The effectiveness of the present model is validated by a good agreement obtained in the comparison works. This study also shows that how the structural boundary condition affects the coupling system in detail. These results provide a theoretical basis for structural–acoustic coupling analysis and low-noise design of enclosures with panel partition.