The equivalent source method is widely applied to study structural acoustic radiation in an underwater environment. However, there is still uncertainty in arranging the equivalent source, and the current mainstream configuration method needs a large number of equivalent sources, limiting its practical applicability. In this paper, an equivalent source configuration method that is simple, effective, and easy to implement, and which based on a tradeoff between the ill condition of the transfer matrix and the adequacy of the simulated structure’s radiated sound field, is proposed. The optimization method can derive the appropriate positions and quantity of monopole equivalent sources simultaneously. The method does not yield an optimal solution in a strict mathematical sense but provides satisfactory results compared with those obtained by uniformly distributed equivalent sources. Numerical simulation results showed that the optimization method derives accurate sound field calculation results with a relatively small number of equivalent sources, significantly reducing the number of subsequent calculations needed. Finally, the experiments conducted with a cylindrical shell structure verified the validity and practicality of the proposed method.

中文翻译：

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等效源法的等效源配置优化

等效源法被广泛应用于研究水下环境中的结构声辐射。然而，等效源的布置仍存在不确定性，目前主流的配置方式需要大量等效源，限制了其实际适用性。本文提出了一种简单、有效、易于实现的等效声源配置方法，该方法基于传递矩阵的不良条件和模拟结构辐射声场的充分性之间的权衡。该优化方法可以同时推导出合适的单极等效源位置和数量。该方法不能产生严格数学意义上的最优解，但与均匀分布的等效源获得的结果相比，提供了令人满意的结果。数值仿真结果表明，该优化方法以相对较少的等效源数推导出准确的声场计算结果，显着减少了后续计算的次数。最后，以圆柱壳结构进行的实验验证了所提出方法的有效性和实用性。