双等腰三角形凸起地形在SH波入射时的地表位移函数  

Surface displacement function of two isosceles-triangular hills during incidence of SH-wave

作　　者：杜永军[1,2] 刘殿魁 郭凤[1] 王金东[1] 关丽杰[1] 

机构地区：[1]大庆石油学院机械科学与工程学院,黑龙江大庆163318 [2]北京科技大学机械工程学院,北京100083 [3]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001

出　　处：《地震工程与工程振动》2009年第3期1-8,共8页Earthquake Engineering and Engineering Dynamics

基　　金：黑龙江省自然科学基金项目(A200508)

摘　　要：利用"分区、辅助函数"思想,将求解的区域分为三部分,区域Ⅰ为一个带有半圆形弧线的等腰三角形区域,区域Ⅱ也为一个带有半圆形弧线的等腰三角形区域,区域Ⅲ为两个带有半圆形凹陷的弹性半空间,并利用波函数展开法分别在区域Ⅰ、Ⅱ和区域Ⅲ中构造满足等腰三角形在其斜面上应力自由和在弹性半空间中满足水平面上应力自由的驻波函数,以此为基础,通过区域Ⅰ、Ⅱ和区域Ⅲ的"公共边界"位移应力连续条件,建立对该问题进行求解的无穷代数方程组,并采用截断有限项的方法对其进行求解。In this paper, the solution is divided into three domains with conjunction, where domain I involves an isosceles-triangular hill with a hemi-circular bottom, domain II also involves an isosceles-triangular hill with a hemi- circular bottom, and domain III involves two elastic half-spaces with a hemi-circular depression. The standing function is constructed in domain I,II and III by using wave function expanding , which satisfies the stress-free condition at the triangular bevels and on the horizontal surface in the elastic half-space. Based on the above solutions, the conjunction is operated at the interface of the two boundary of domain I,II and III. The result is obtained by constructing a set of infinite linear algebraic equations and

关 键 词：等腰三角形 凸起地形 SH波 驻波函数 

分 类 号：P315.96[天文地球—地震学]