SH波对三角形凸起与半圆形凹陷地形的地震动  

Ground motion of SH-waves scattering by triangle hills and a semi-cylindrical canyon

作　　者：杨在林[1] 许华南[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001

出　　处：《世界地震工程》2010年第S1期172-176,共5页World Earthquake Engineering

基　　金：国家自然科学基金项目(10972064);中国地震局地震工程与工程振动开放实验室基金项目(2009A06);黑龙江省光纤传感科学与技术重点实验室开放课题项目(2008GX05)

摘　　要：利用复变函数法与多极坐标法对中间是半圆凹陷、一边是斜三角形凸起和一边是等腰三角形凸起的组合地形对SH波的散射问题进行研究。首先将求解区域分为3个部分,再分别构造不同区域满足边界条件的驻波解,并在公共边界实施"契合",并建立满足半圆形凹陷表面应力自由边界条件的无穷代数方程组。最后通过具体算例分析不同参数对三角形凸起与半圆形凹陷相连地形地震动的影响。The problem of SH-waves scattering by an oblique triangle hill,a isosceles triangle hill and a semi-cylindrical canyon is studied by using the methods of complex function and multi-polar coordinate.The solution domain is divided into 3 parts,and then displacement solutions of standing waves that meet the boundary conditions are constructed in the three regions respectively.The three domains were conjoined to satisfy the 'conjunction' condition and,and then a set of infinite algebraic equations about the problem to satisfy the boundary condition of semi-cylindrical canyon is obtained.Lastly,numerical examples are given to show the influence of different parameters on the ground motion of the hills and the canyon.

关 键 词：SH波散射 斜三角形凸起 半圆形凹陷 多极坐标法 地震动 

分 类 号：TU435[建筑科学—岩土工程]