Sound transmission through a thick-walled FGM piezo-laminated cylindrical shell filled with and submerged in compressible fluids

Abstract

Estimation of sound transmission loss (TL) due to the piezoelectric effects, as an attenuation of acoustic waves, is studied for a thick-walled piezo-composite cylindrical shell excited by an oblique incident plane wave. The cylinder is filled with and submerged in an acoustic media. The three-dimensional (3D) exact theory of elasticity and piezoelasticity are engaged to model the cylindrical shell, while the classical Helmholtz equation governs the propagation of waves through the internal cavity and external surrounding fluid. A state space method, as well as the transfer matrix technique is utilized to describe the deformation and stress in the cylindrical shell. TL is calculated by exact integration over the shell’s outer surface. The validity of the current analytical solutions is cross-checked with various data from the simplified case found in the relevant literature as well as a finite element package known as Comsol Multiphysics. Parameter studies are conducted to investigate the effects of piezoelectric material properties, piezoelectric polarization direction, shell thickness ratio, electrical boundary conditions and functionally graded piezoelectric material (FGPM) on the sound transmission loss due to the piezoelectricity. New results and findings provide guidance of piezoelectric coupled with thick shell design for passive wave absorption.