Vibration and sound radiation analysis of temperature-dependent porous functionally graded material plates with general boundary conditions

Abstract

This paper investigates the vibration and sound radiation of porous functionally graded material (FGM) plates with temperature gradient along the thickness. The even and uneven porosity distributions are taken into consideration in the present study. The formulation of the FGM plate is based on the first-order shear deformation theory (FSDT) with the temperature dependence of material properties considered. Each displacement component of the FGM plate is expanded as the Fourier cosine series combined with auxiliary functions in order to satisfy the general boundary conditions. A substantial number of numerical examples concerning the vibration and sound radiation responses of the heated plate are carried out to validate the convergence and accuracy of the proposed method. Finally, the effects of key parameters including the boundary condition, volume fraction index, thermal environment, temperature dependence of material properties and porosity volume fraction on the structural and acoustic responses of the FGM plate are discussed in detail.