Numerical implementation of the lumped parameter model for the acoustic power output of a vibrating structure
Numerical implementation of the lumped parameter model for the acoustic power output of a vibrating structure
复制标题
DOI：
10.1121/1.419781
复制
发表时间：
1997-07
影响因子：
2.4
通讯作者：
J. B. Fahnline;G. Koopmann
中科院分区：
文献类型：
--
作者：
J. B. Fahnline;G. Koopmann
在之前的一篇论文中，定义了振动结构声辐射的集总参数模型，方法是将结构表面划分为单元，以多极展开的方式展开每个单元的声场，并截断展开中除最低阶项外的所有项。在这里，通过要求法向表面速度在集总参数意义上满足边界条件来实现集总参数模型。这减轻了通常在执行边界条件时遇到的困难，导致具有良好定义的收敛性质的相对简单的数值解。数值分析的基函数是位于表面单元几何中心的离散单声源、偶极声源和三极声源的声场。不同的辐射源类型用于表示来自不同类型表面元素的辐射：简单的辐射源用于无限平面上的元素…
In a previous paper, a lumped parameter model for the acoustic radiation from a vibrating structure was defined by dividing the surface of the structure into elements, expanding the acoustic field from each of the elements in a multipole expansion, and truncating all but the lowest-order terms in the expansion. Here, the lumped parameter model is implemented numerically by requiring the boundary condition for the normal surface velocity to be satisfied in a lumped parameter sense. This alleviates the difficulties typically encountered in enforcing the boundary condition, leading to a relatively simple numerical solution with well-defined convergence properties. The basis functions for the numerical analysis are taken as the acoustic fields of discrete simple, dipole, and tripole sources located at the geometrical centers of the surface elements. The different source types are used to represent the radiation from different kinds of surface elements: simple sources for elements in the plane of an infinite b...