Abstract
This study presents an analytical solution for calculating sound transmission loss through a circular cylindrical shell made of polymeric foam. The intended cylinder is excited by an acoustic plane wave. The equations of motion for the cylindrical shell are derived by the first-order shear deformation. Besides, the polymeric foam is characterized using functionally graded Zener model in which the mechanical properties are varying continuously in the thickness direction as well as considering the frequency-dependent parameters. Due to the lack of study on the vibro-acoustic behavior of the viscoelastic graded materials, the results are compared with those of some researchers in the literature of elastic materials, and excellent concurrences are observed. Next, the effects of geometrical and material characteristics on the transmission loss factor are investigated. The influence of various power-law index illustrates that by reducing this parameter, the sound transmission loss through the shell is extensively increased. Finally, a comparison is performed along with four models of the cylindrical shells with the same weights including functionally graded viscoelastic, functionally graded, viscoelastic and elastic materials. As a key result, it can be explored that the sound transmission loss in a functionally graded viscoelastic shell is more enhanced than the other cylinders.
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