摘要
采用复变函数法研究了含有圆形孔洞的半圆形凸起地形对SH波的散射问题。第一步将所研究的域分为两个域,相应地构造出了所论问题的两组解:一组是在凸起边界上满足应力为零、而其余边界应力待定的圆环域中的级数解,另一个组为含有半圆形凹陷的半空间的解。第二步,通过上述两个域(两组解)在"公共边界"上实施"契合",建立起求解该问题的无穷代数方程组。第三步,对有限个方程进行数值求解,给出了地表位移幅值和圆形孔洞的表面位移及周边上的动应力集中的数值结果,并讨论了波数及凸起和圆孔半径比等的影响。
The SHwave scattering by a semicylindrical hilllike protruding with a circular cavity is studied by using complex function. The domain to be solved is divided into two domains and correspondingly two solutions are constructed:One satisfies the zero stress condition at the hill boundary and at the circular surface and arbitrary at other part, and one is the solution of SH wave scattering by a semicylindrical canyon. By conjoining the two solutions on the junction interface, the problem to be solved is reduced to solving a set of infinite linear algebraic equations. Finally, the computational results of surface displacement amplitudes and the dynamic stress concentration factors are provided and discussed.
出处
《地震工程与工程振动》
CSCD
北大核心
2003年第5期26-31,共6页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金(59578003)
博士点基金(9521702)
关键词
SH波散射
地震动
动应力集中
掩体
契合
scattering SH-wave
junction
semi-cylindrical hill-like protruding
cavity
ground motion
dynamic stress concentration
shelter
