用契合方法求平面SH波对半圆形突起地形的散射  

Scattering of Plane SH-Wave by a Semi -Cylindrical Hill with the Method of Conjunction

作　　者：胡静[1] 

机构地区：[1]中国民航学院机电工程学院,天津300300

出　　处：《中国民航学院学报》2002年第4期16-19,25,共5页Journal of Civil Aviation University of China

摘　　要：采用“契合”的方法,给出了一个求解平面SH波对半圆形凸起地形散射的新方法。利用包括半圆形凸起上边界在内的一个圆域中预先构造的满足其上半部应力为零,下半部应力任意的级数解和其余的具有半圆形凹陷的半空间中的解答,通过在其结合面上完成“契合”的过程中分别决定出圆域和半空间中的解答,给出了问题的最终结果。利用上述方法,问题的求解仍归结为对一组无穷代数方程组的求解。最后,给出了数值结果并对其进行了讨论。A new approach through conjunction is introduced in the paper to solve the SH-wave scattering by a semi -cylindrical hill.A solution of series in a circle field including the boundary of semi -cylindrical hill is constructed,which fits that stress is zero on the hill and arbitrary on the underpart boundary.The solution of series and a solution in a half-space with a semi -cylindrical canyon are used to conjoin on the junction interface,then the last so-lution in the circle field and the half-space is obtained.The solution of the prob lem is re-duced to solving a set of infinite linear algebraic equations by using the approach.At last,we give the computational results and discuss them.

关 键 词：SH波 半圆形凸起地形 契合 散射 地震运动 

分 类 号：P315[天文地球—地震学]