LAUSR

Abstract This study presents the functionally graded viscoelastic model for calculating the wave propagation through a plate made of polymeric foam. The polymeric foam is a type of material that has both functionally graded and viscoelastic phases. The shear moduli and complex Young's of polymeric foam are frequency dependent. Additionally, elasticity modulus and mass density vary with the change of distribution function through the plate thickness. The first-order shear deformation theory has been applied for deriving the governing equations. Moreover, Zener mathematical model has been used for the description of the viscoelastic behavior of plate made of polymeric foam. This structure is excited by a plane wave with two elevation and azimuth incident angles. Due to the lack of researches in the vibroacoustic field of these materials, the results have been compared with those from other researchers for an isotropic material. Finally, the effects of various physical, geometrical, and environmental parameters on the wave propagation of polymeric foam plates have been analyzed. It has been demonstrated that sound transmission loss increases by enhancing material constantly and decreasing the power-law index. Moreover, the obtained results show that the sound transmission loss for the functionally graded viscoelastic is enhanced in comparison with elastic, viscoelastic, and functionally graded material with lower masses.