摘要
采用大圆弧假定法将具有地表覆盖层的半空间直边界问题转化为曲面边界问题。借助Helmholtz定理预先给出问题波函数的一般形式解,再利用复变函数法及边界条件将问题化为求解波函数未知系数的无穷线性代数方程组,截断该方程组即可求解带地表覆盖层的半空间内浅埋圆孔及夹杂对SH波散射问题,并给出地面运动数值结果。定性分析入射波数、入射角度、埋深、夹杂刚度及覆盖层刚度等对地面运动影响。研究表明,浅埋圆孔及夹杂与地表覆盖层间存在强烈的相互作用,地震动会受较大影响。
The solution of scattering of SH-wave was given by the method using an circular boundary with large radius to approximate the straight boundary of surface layer.In the light of the theory of Helmholtz,the general solution of the Biot＆#39;s wave function was achieved.Utilizing the complex function method and the boundary conditions,the present problem was transformed into a problem in which only infinite linear algebraic equations with unknown coefficients need to be solved.Numerical results of the ground motion were provided.The effects of incident wave number,incident angle, buried depth,stiffness of inclusion and layer on ground motion were analyzed qualitatively.The results of numerical examples show that great a influence on ground motion may occur due to strong interaction between the surface layer and the circular cavity and inclusion.
出处
《振动与冲击》
EI
CSCD
北大核心
2014年第22期152-156,共5页
Journal of Vibration and Shock
基金
中央高校基本科研业务费项目资助
关键词
地表覆盖层
圆孔
夹杂
SH波散射
大圆弧假定法
地震动
surface layer
circular cavity
inclusion
scattering of SH-wave
large arc assumed method
ground motion
