Vibro-acoustic analysis of the thin laminated rectangular plate-cavity coupling system

This paper establishes a plate-cavity system to study the vibro-acoustic coupling characteristics based on an improved Fourier series method (IFSM). The established coupling system consists of an acoustic cavity with rigid walls or impendence walls and a single or double thin laminated rectangular plate with various elastic boundary conditions. The energy principle is employed for the modeling of this coupling system. Under the framework, the displacement and sound pressure admissible functions are generally set, no relations to boundary conditions, to the combinations of Fourier cosine series and supplementary functions which can eliminate the discontinuous or jumping phenomenon in the boundaries. All the series expansion coefficients can be obtained through the Rayleigh-Ritz technique. The results obtained by presented method show good convergence and agreement by being compared with those of the literatures or finite element method (FEM). The natural characteristics of the plate-cavity coupling system are studied. The structure vibration response and acoustic pressure response are also investigated by applying structural force to the plate and applying the monopole source into the acoustic cavity. Furthermore, some new results are given, based on the various boundary conditions, anisotropic degrees, lamination schemes and cavity depths, which can be the benchmark for future research.