The effect of considering Pasternak elastic foundation on acoustic insulation of the finite doubly curved composite structures

Abstract

This approach focuses on the acoustic characteristic of a simply supported doubly curved composite shell subjected to the Pasternak-type elastic foundation. To carry out the sound analysis of a finite shell, displacements and rotation terms and acoustic pressures are developed based on the infinite longitudinal and transversal modes. According to Hamilton's principle, the dynamic equations of the structure equipped with an elastic foundation are extracted. Subsequently, the construction is stimulated using an acoustic wave. Considering infinite modes, the necessity of terminating this process by applying a large number of modes is concerned. Therefore, in addition to the design of the convergence algorithm, some configurations against variations of dimensions and frequencies are proposed. Before presenting the numerical outcomes, the accuracy of the formulation is checked by either natural frequencies or sound transmission spectra. It is realized that although Winkler spring stiffness is impressive to improve the noise property at the low-frequency domain, the positive effects of Shear layer one are specified in the whole region. The outcomes also contain some 3D new shapes for variations of the Winkler spring and Shear layer stiffness.