SH波入射多个半圆形谷地浅埋圆孔的动力分析

应用辅助函数的思想，通过复变函数和多级坐标的方法给出了SH波入射条件下多个半圆形沉积谷地附近多个浅埋圆形孔洞动力分析问题的解答。求解过程中将整个求解区域划分成两部分来处理：区域Ⅰ为多个半圆形沉积谷地，区域Ⅱ为多个浅埋圆形孔洞附近带多个半圆形凹陷的半无限弹性空间。在区域Ⅰ和Ⅱ中分别构造位移解，并在二个区域的“公共边界”上实施位移、应力的连续条件，建立起求解该问题的无穷代数方程组。最后．给出了分析例题和数值结果．并对其进行了讨论。

Dynamic analysis of multiple semi-cylindrical alluvial valleys with multiple subsurface circular cavities under SH waves

Dynamic response of multiple shallow-embedded cylindrical cavities below semi-cylindrical alluvial valleys to incident SH waves is studied by using complex function. The model is divided into two parts, and two solutions are constructed in the domains, respectively. One is standing waves, while another is the scattering by multiple semi-cylindrical alluvial valleys and multiple subsurface circular cavities. Each of the two functions satisfies the zero-stress condition at the horizontal boundary. By employing displacement and stress continuity condition on the interface, the problem to be solved can be reduced to solving a set of infinite linear algebraic equations. Finally, the computational results of dynamic stress concentration factors and some discussions are provided.