Vibro-acoustic coupling analysis of the orthotropic annular sector double-plate coupled with an acoustic cavity

In this investigation, a structural-acoustic coupling model is established, which is composed of the thin orthotropic annular sector parallel double-plate with various elastic boundary conditions and an acoustic cavity with various impedance walls. Under the current framework, the admissible displacement and sound pressure of the coupling system are generally expressed as superposition of simple periodic functions on the basis of the modified Fourier series method. The setting of the elastic boundary conditions is realized by artificial virtual spring technology. The vibro-acoustic characteristics can be obtained by Rayleigh-Ritz technique. Unlike most of the existing studies, the presented method can be readily applied to a wide spectrum of the vibro-acoustic problems with no need of modifying the basic functions or adapting solution procedures, such as different boundary conditions, varying materials and geometric parameters. The fast convergence of the present method has been given by selecting smaller truncation values. In addition, the accuracy of the present method has been proved by being compared with the finite element method (FEM). Numerous new results are also presented which can be the benchmark for the future research.