浅埋可移动圆柱形刚性夹杂附近的半圆形凸起对SH波的散射  

Scattering of SH-Wave by a semi-cylindrical hill above a subsurface removable rigid cylindrical inclusion

作　　者：刘殿魁[1] 吕晓棠 

机构地区：[1]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2007年第1期55-59,共5页Journal of Harbin Engineering University

摘　　要：采用“契合”方法,提出了地下可移动圆柱形刚性夹杂与地面上半圆形凸起地形对SH波散射问题的解答.将整个求解区域分割为两部分,在其中分别构造位移解,通过移动坐标,在“公共边界”上实施“契合”,并同时满足地下可移动刚性夹杂的边界条件,从而建立起求解该问题的无穷代数方程组.最后介绍了地表位移幅值的数值结果以及凸起地形顶点位移幅值随可移动刚性夹杂埋深的变化情况.讨论表明,浅埋刚性可移动夹杂对地表位移幅值的影响不能忽略.Scattering of SH-wave by a semi-cylindrical hill above a subsurface removable rigid cylindrical inclusion in half-space was studied based on conjunction. The whole solution domain was divided into two parts, and the displacement solutions were constructed in two parts respectively. By moving coordinates, the two domains were conjoined to satisfy the 'conjunction' condition and the boundary condition around the subsurface removable rigid cylindrical inclusion, and then a set of infinite algebraic equations about the problem could be obtained. Finally, the computational results of surface displacement and the variation of displacement amplitudes of the hill peak with embedded depth of inclusion were provided. Discussion shows that the influence of subsurface removable rigid inclusion on surface displacement cannot be ignored.

关 键 词：SH波散射 半圆形凸起 可移动刚性夹杂 契合 移动坐标 

分 类 号：TN957.51[电子电信—信号与信息处理]