圆形区域多圆孔对SH波散射Green函数解  

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

作　　者：史文谱[1,2] 魏娟[1,2] 

机构地区：[1]烟台大学机电汽车工程学院,烟台264005 [2]山东省高校先进制造与控制技术重点实验室,山东264005

出　　处：《振动与冲击》2014年第20期31-34,共4页Journal of Vibration and Shock

基　　金：山东省自然科学基金(ZR2010AM002);山东省科技攻关项目(2012G0030011)

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。Multi-coordinate transform,Graf addition formulae and wave function expansion were employed to study the Green function solution of SH-wave scattering of several circular cavities in circular domain under a steady out-of-plane pulse acting on the outer boundary of circular domain.The scattering wave function of each circular cavity in the circular domain was presented,and the superposition principle was used to give the total wave field of the circular domain medium.An infinite linear algebraic equation system of unknown coefficients was derived according to the boundary conditions of the problem by using Graf addition formulae and Fourier transform,and then solved by limited terms truncation on the basis of the requirement of computation precision.The Green function solution was thus achieved.The results of a given example show the feasibility of the method proposed.

关 键 词：圆形区域 多个圆孔缺陷 SH波散射 波函数展开法 Green函数解 

分 类 号：O23[理学—运筹学与控制论]