This study applies shear deformation shallow shell theory to inspect the acoustic behavior of laminated composite infinitely long doubly curved shallow shells subject to a radiating oblique plane sound wave. Herewith, a procedure is developed to investigate sound transmission loss through this shell, clarified as a ratio of incident power to transmitted power in the existence of mean flow. In a further step, displacements are developed as a linear combination of the thickness coordinate to designate an analytical solution based on shear deformation shallow shell theory. Consequently, an exact solution for sound transmission loss is brought forward by combining acoustic wave equations as a result of wave propagation through this shell with doubly curved shell equations of motion. Afterwards, the accuracy of the present formulation (shear deformation shallow shell theory) is determined by comparing the achieved results with those available in the literature and some assumptions associated with the geometric specifications of the plate are investigated. Finally, because of the remarkable achievement of the current formulation results in reduction of noise transmission into such structures, some effective parameters on sound transmission loss are used in numerical results, to solve this problem.
Static and vibration analysis of cross-ply laminated composite doubly curved shallow shell panels with stiffeners resting on Winkler–Pasternak elastic foundations
