SH波对结构表面上含有多个半圆形介质夹杂的散射

 利用复变函数和多极坐标系的方法,研究了在结构表面上含有多个半圆形介质夹杂的散射问题,首先给出 SH波对多个半圆形介质夹杂的散射波函数,并利用多极坐标系的方法,来满足介质界面上的连续条件和表面上的边界条件,归结为对一组无穷代数方程组的求解,简化了问题的求解。作为算例,对结构水平面上含有 2个半圆形夹杂介质进行分析,并讨论了夹杂介质参数的变化及孔距对位移的影响。

SCATTERING OF SH-WAVE BY THE STRUCTURE SURFACE WITH MULTIPLE SEMI-CYLINDRICAL MEDIUM INCLUSION

In this paper, the scattering of SH wave by the structure surface with multiple semi cylindrical medium inclusion is studied by using a function of complex variable and a multi polar coordinate method. The so called scattering wave function and the standing wave function in the neighborhood of the multiple semi cylindrical medium inclusion are formed. Using the moving coordinate system,the boundary condition and connection condition can be satisfied. So the condition question may be solved by an infinite set of algebraic equations. Finally, as an example, the scattering of SH wave in the neighborhood with two same semi cylindrical medium inclusion is calculated partially. Numerical results show that the influence of the inclusion on the displacement is remarkable.