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

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (20) : 31-34.

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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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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.

Key words

circular domain / several circular cavity defects / SH-wave scattering / wave function expansion method / Green function solution

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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