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.

提出了一种半解析法，对浸泡在空气中的复合层合椭圆壳进行振动声分析。采用变分法和多段技术建立动力学模型。外部流场的声辐射是通过频谱Kirchhoff-Helmholtz积分公式计算的。包含位移和声压的变量通过傅立叶级数和切比雪夫正交多项式的组合扩展。引入搭配点以构建声学积分方程的代数系统，其中这些点分布在Chebyshev多项式的根上，并且通过合并的Helmholtz积分消除了系统的非唯一性解。给出了复合材料层合椭圆壳的声辐射问题的数值例子，并给出了圆周模态对复合材料层合椭圆壳的声学结果的贡献。还研究了几何和材料参数对复合层合椭圆壳声辐射的影响。