Abstract

This research presents a semi-analytical method to investigate the acoustic characteristics of a composite laminated paraboloidal shell in a light fluid. First of all, the mathematical model of a paraboloidal shell structure is constructed based on the Ritz method and multi-section partition technique. Secondly, Jacobian polynomial and Fourier series are innovatively used to expand displacement tolerance functions of a paraboloidal shell structure, and the external acoustic fluid is modeled using Helmholtz integral formula. Lastly, artificial spring technology is employed to effectively realize complex boundary conditions such as stiff fixing and basic support of paraboloidal shell structures. The validity and dependability of Jacobi-Ritz-spectral BEM are verified by comparing it with the results of the coupled FEM/BEM. In the meantime, this research also discusses the effects of boundary conditions, structural parameters, and fiber ply angle on acoustic radiation characteristics.

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