文献类型：期刊文献

中文题名：SH波在含圆形孔洞的半圆形凸起处的散射

英文题名：Scattering of SH-wave by a semi-cylindrical hill-like protruding with a cavity

作者：李彤[1];王国庆[2];刘殿魁[2]

机构：[1]华东理工大学机械工程学院,上海200237;[2]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001

年份：2003

卷号：23

期号：5

起止页码：26

中文期刊名：地震工程与工程振动

外文期刊名：Earthquake Engineering and Engineering Dynamics

收录：CSTPCD;;Scopus;北大核心:【北大核心2000】；CSCD:【CSCD2011_2012】；

基金：国家自然科学基金(59578003);博士点基金(9521702)

语种：中文

中文关键词：SH波散射;地震动;动应力集中;掩体;契合

外文关键词：scattering SH-wave; junction; semi-cylindrical hill-like protruding; cavity; ground motion; dynamic stress concentration; shelter

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 SHwave scattering by a semicylindrical hilllike 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 semicylindrical 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.