A unified prediction solution for vibro-acoustic analysis of composite laminated elliptical shells immersed in air

A semi-analytical method to conduct vibro-acoustic analysis of a composite laminated elliptical shell immersed in air is proposed. A variational method and multi-segment technique are used to formulate the dynamic model. The sound radiation of the exterior fluid field is calculated by a spectral Kirchhoff-Helmholtz integral formulation. The variables containing displacements and sound pressure are expanded by the combination of Fourier series and Chebyshev orthogonal polynomials. The collocation points are introduced to construct an algebraic system of acoustic integral equations, where these points are distributed on the roots of Chebyshev polynomials, and the non-uniqueness solution of system is eliminated by a combined Helmholtz integral. Numerical examples for sound radiation problems of composite laminated elliptical shells are presented and individual contributions of the circumferential modes to the acoustical results of composite laminated elliptical shells are also given. The effects of geometric and material parameters on sound radiation of composite laminated elliptical shells are also investigated.

Automated summary

The proposed semi-analytical method utilizes a variational method and multi-segment technique to formulate the dynamic model of composite laminated elliptical shells, expanding variables containing displacements and sound pressure using a combination of Fourier series and Chebyshev orthogonal polynomials, and introducing collocation points to construct an algebraic system of acoustic integral equations, ultimately eliminating the non-uniqueness solution of the system.