Analytical analysis of sound transmission in passive damped multilayered shells

An analytical shell model is here proposed for the sound transmission analysis of composite multilayered structures embedding viscoelastic sheets. The present analytical solution, based on the Navier approach, is developed starting from the Principle of Virtual Displacements, through the use of advanced layer-wise higher-order models and by considering real viscoelastic frequency-dependent materials with fractional derivative constitutive models. Several simply-supported shell structures with isotropic and cross-ply composite layers embedding viscoelastic frequency-dependent sheets are considered and the results of the passive noise reduction analysis are given in terms of acoustic parameters based on Rayleigh integral method. Moreover a comprehensive study on different types of time loads is taken into account, considering impulse time load, time-window load histories, space–time dependent loads.