Green function solution of the SH-wave scattering of several circular cavities in circular domain
SHI Wen-pu1,2，WEI Juan1,2
1. School of Electromechanical Automobile Engineering, Yantai University, Yantai 264005, China； 2. Key Laboratory of Advanced Manufacturing and Control Technology in Universities of Shandong, Yantai 264005, China
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.
史文谱;魏 娟;. 圆形区域多圆孔对SH波散射Green函数解[J]. , 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. , 2014, 33(20): 31-34.
2014, Vol. 33 
