Abstract
In the open literature, sound transmission through cylindrical structures is often considered for infinitely long cylinders for which full analytical solutions can be derived. However, when dealing with finite cylinders subjected to arbitrary boundary conditions, establishing a general analytical solution is more complex to achieve and appropriate resolution techniques should be used. In the present study, a consistent semi-analytical model of sound transmission through such finite length and multilayered cylinders is presented. The orthotropic shell is modeled with 2D first order shear deformation theory and the poroelastic core is modeled with full 3D Biot’s theory in u-p format. Analytical expressions are used for the acoustic domains while closed form Rayleigh–Ritz expansion and 1D finite element method are used for the structural domains. Results are validated with those of literature and those given by full numerical simulations. Furthermore, the effect of structural and acoustical resonances on noise transmission are discussed through finite/infinite cylinders superposition and with respect to angle of incidence and porous layer thickness. The contribution of internal resonances demonstrates the importance of the cylinder finiteness for oblique incidences.
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