In this paper, a spherical source distribution method is established, and two kinds of spherical sound sources of symmetric and antisymmetric, distributed on a line inside the structure are proposed, in order to realize the vibro-acoustic calculation of three-dimensional elastic underwater structure. The spherical source distribution method has strong applicability and is suitable for the case where the shape of the structure is not axisymmetric. This method is a new method, and its fundamental formula is similar to the traditional acoustic boundary integral method, but it also has obvious differences. In numerical calculation, the traditional boundary element method is to divide the surface elements on the wet surface of the object, and transform the three-dimensional acoustic problem into the two-dimensional discrete element problem to solve. However, the spherical source distribution method, whose source points are only distributed on a straight line inside the object, transforms the three-dimensional acoustic problem into the quasi-one-dimensional discrete element problem, which makes the complexity and computation amount of the whole programming significantly reduced. In this paper, the fundamental principle of the spherical source distribution method, the calculation formula and the verification results of several numerical examples are discussed.

中文翻译：

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一种计算弹性水下结构声辐射的球源分布方法


本文建立了一种球源分布方法，提出了对称和反对称两种球源，分布在结构内部的一条线上，以实现三维弹性水下结构的振动-声学计算。球源分布法具有很强的适用性，适用于结构形状不是轴对称的情况。该方法是一种新方法，其基本公式与传统的声学边界积分法相似，但也存在明显的差异。在数值计算中，传统的边界元方法是将物体湿面上的表面元划分，并将三维声学问题转化为二维离散元问题来解决。然而，声源点仅分布在目标内部一条直线上的球源分布方法，将三维声学问题转化为准一维离散元问题，使得整个规划的复杂度和计算量显著降低。本文讨论了球源分布法的基本原理、计算公式和几个数值算例的验证结果。