A mixed analytical-numerical method is proposed to evaluate the acoustic radiation of a double elastic spherical shell in finite-depth water by combining the analytical method with the numerical Wave Based Method (WBM) [or Wave Superposition Method, WSM]. The effects of reflection from both the free surface and the seabed are considered. The correctness of this method is verified through several numerical examples. Theoretically, this method can be extended to address the acoustic radiation problem of a double spherical shell in more complex hydroacoustic waveguide environment, because only a change of Green's function used in the WBM is needed. The method presented in this work can provide a benchmark, which is quite scarce at present, for the fluid-structure coupled vibration, acoustic radiation and sound propagation of three-dimensional bodies of an arbitrary shape in the hydroacoustic waveguide environment. Furthermore, the influence of free surface and seabed boundaries on the behaviors of structural vibration, acoustic radiation and sound propagation is presented. Some physical images are also included to illustrate the mechanism more clearly.

提出了一种混合解析数值方法，通过将解析方法与数值基于波的方法（WBM）[或波叠加法，WSM]相结合，来评估有限深度水中的双弹性球形壳的声辐射。考虑了自由表面和海底反射的影响。通过几个数值例子验证了该方法的正确性。从理论上讲，这种方法可以扩展到解决更复杂的水声波导环境中的双球形壳的声辐射问题，因为只需要改变WBM中使用的格林函数即可。这项工作中提出的方法可以为流固耦合振动提供一个目前还很缺乏的基准，在水声波导环境中任意形状的三维物体的声辐射和声传播。此外，提出了自由表面和海床边界对结构振动，声辐射和声传播行为的影响。还包括一些物理图像以更清楚地说明该机制。