圆形区域多圆孔对SH波散射Green函数解

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (20) : 31-34.

论文

圆形区域多圆孔对SH波散射Green函数解

史文谱1,2，魏娟1,2

作者信息 +

Green function solution of the SH-wave scattering of several circular cavities in circular domain

SHI Wen-pu1,2，WEI Juan1,2

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文章历史 +

摘要

利用多极坐标变换、Graf加法公式及波函数展开法研究圆形区域内多圆孔缺陷存在时对圆形域边界作用反平面稳态脉冲SH波散射Green函数解。给出各圆孔对SH波散射产生含未知系数的散射波函数，用叠加原理写出圆形域介质内总波场，据边界条件、Graf加法公式及Fourier积分变换获得确定未知系数的无穷线代数方程组；由计算精度进行有限项截断求解，确定问题的Green函数解。用算例结果验证该方法的可行性。

Abstract

Multi-coordinate transform, Graf addition formulae, wave function expansion are employed to study the Green function solution of SH-wave scattering of the several circular cavities in the circular domain to the steady out-of-plane pulse acting on the out boundary of the circular domain.At first, the scattering wave function of every circular cavity in the circular domain is given, and the superposition principle is used to give the total wave field of the circular domain medium, and a linear algebraic equation system of the unknown coefficients can be obtained by the boundary conditions of the problem and Graf addition formulae and Fourier transform, it can be solved by limited trunction according to the computation precision, then the Green function solution can be ensured. The results of the given example show the feasibility of the method here.

导出引用

史文谱;魏娟;. 圆形区域多圆孔对SH波散射Green函数解[J]. 振动与冲击, 2014, 33(20): 31-34

SHI Wen-pu;WEI Juan;. Green function solution of the SH-wave scattering of several circular cavities in circular domain[J]. Journal of Vibration and Shock, 2014, 33(20): 31-34