CAJ | 학술논문

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。
이용다겁좌표변환、Graf가법공식급파함수전개법연구원형구역내다원공결함존재시대원형역변계작용반평면은태맥충SH파산사Green함수해。급출각원공대SH파산사산생함미지계수적산사파함수，용첩가원리사출원형역개질내총파장，거변계조건、Graf가법공식급Fourier적분변환획득학정미지계수적무궁선대수방정조；유계산정도진행유한항절단구해，학정문제적Green함수해。용산례결과험증해방법적가행성。
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.