SH波在浅埋可移动圆柱形刚性夹杂处的散射与地震动

Scattering of SH-waves and ground motion by a shallow-embedded removable rigid cylindrical inclusion

采用复函数、多极坐标法研究了含有可移动圆柱形刚性夹杂的弹性半空间对SH波的散射问题。构造一个能自动满足含可移动刚性圆柱的弹性半空间自由表面上应力为零的边界条件的散射波,应用可移动圆柱形刚性夹杂的运动条件来确定该散射波。最终则可将求解问题归结为求解一个无穷代数方程组,采用截断有限项的方法对其进行求解。给出了地表位移幅值的数值结果,并讨论了各种参数对它的影响。

The problem of SH-wave scattering, which is caused by a removable rigid cylindrical inclusion near the interface of elastic half space, is studied in this paper. The methods of complex variables and multi-polar coordinates are used here. The scattering wave function which can satisfy the condition of stress free on the horizontal surface around a removable rigid cylindrical inclusion in half space is constructed, and the expression of scattering wave can be determined by virtue of the boundary conditions of removable rigid cylindrical inclusion. The problem can be reduced to a solution of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. Finally, the numerical results of horizontal surface displacement are given and discussed in the case of different parameters.