Sound transmission analysis of functionally graded material plates with general boundary conditions in thermal environments

Abstract

A semi analytical model is proposed to perform the sound transmission analysis of functionally graded material (FGM) plates subjected to thermal loads. Temperature dependent properties of FGM and a total of three different temperature fields are taken into consideration in the present study. By means of the velocity continuity condition at the air-plate interfaces and Hamilton’s principle, the dynamic equation considering the aeroelastic coupling effect can be derived based on the first-order shear deformation theory (FSDT). Besides, the displacement components of the plate are uniformly denoted in the form of Fourier cosine series in combination with auxiliary functions for the sake of satisfying general boundary conditions. Convergent and comparative studies are conducted to validate the convergence, accuracy and versatility of the developed method. Finally, a few parametric studies with respect to the effects of various important parameters, including the boundary condition, material distribution, thermal environments and temperature dependent material properties, on the sound transmission loss (STL) through FGM plates excited by a diffuse sound field are analyzed in detailed.