出平面线源荷载对半空间中半圆形凸起的圆柱形弹性夹杂的散射  

SCATTERING OF OUT-PLANE LINE SOURCE LOAD BY A CYLINDRICAL ELASTIC INCLUSION WITH A SEMI-CYLINDRICAL HILL IN HALF SPACE

作　　者：赵嘉喜[1] 齐辉[1] 郭晶[1] 杨在林[1] 

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：《工程力学》2008年第5期235-240,共6页Engineering Mechanics

基　　金：黑龙江省自然科学基金资助(A0206)

摘　　要：采用复变函数法和Green函数法,求解出平面线源荷载对半空间中半圆形凸起的圆柱形弹性夹杂的散射。首先,给出在含有半圆形凸起的圆柱形弹性夹杂的弹性半空间中,水平表面上任意一点承受时间谐和的出平面线源荷载作用时的位移函数,取该位移函数作为Green函数;然后,采用分区的思想,分别构造出夹杂内的驻波和夹杂外的散射波,满足"公共边界"处位移和应力的连续性条件,建立起求解该问题的无穷代数方程组;最后,给出了动应力集中系数和水平地面位移幅值的数值结果,并进行了讨论。The scattering of out-plane line source load by a cylindrical elastic inclusion with a semi-cylindrical hill in half space is studied based on complex variable and Green＇s function. Firstly, the Green＇s function is set as the displacement field function when the elastic half space with a semi-cylindrical hill bears out-plane harmonic line source load on horizontal surface. Secondly, a standing wave in the inclusion and a scattering wave outside it are formulated separately. Finally, a series of infinite algebraic equations are derived by considering the continuous condition of the displacement and stress at the common boundary. In the examples, numerical results for dynamic stress concentration factor and ground motion amplitude of horizontal surface are presented and discussed.

关 键 词：固体力学 散射 复变函数法 动应力集中 地震动 圆柱形弹性夹杂 

分 类 号：O343.4[理学—固体力学] O347.3[理学—力学]