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通过引入镜像原理来处理海底或码头壁面处的边界条件,基于 Flügge 壳体振动方程和赫姆霍兹方程,建立了在海底或码头壁面存在下的半无限域中圆柱壳结构与声场的耦合振动方程,最后利用稳相法得到了远场辐射声压的近似表达式。对海底或码头壁面存在下水下圆柱壳结构的远场辐射声压进行了计算并与无限域中的结果进行了对比分析,研究发现,海底或码头壁面的存在对水下圆柱壳结构的辐射声场有重要的影响。
By introducing the mirror principle to deal with the boundary conditions at the seafloor or wharf wall, based on the vibration equation of Flügge shell and the Helmholtz equation, the coupled vibration of the shell structure and sound field in the semi-infinite domain in the presence of the seafloor or quay wall is established Finally, the approximate expression of the far-field radiation pressure is obtained by the steady-phase method. The far-field radiated sound pressure of the underwater cylindrical shell structure in the presence of the seafloor or wharf wall surface is calculated and compared with the results in the infinite domain. It is found that the presence of the seafloor or wharf wall affects the radiated sound field of the underwater cylindrical shell structure Have a significant impact.