SH波对直角平面区域内圆形衬砌的散射与地震动  

SCATTERING OF SH-WAVE BY CIRCULAR CAVITY IN RIGHT-ANGLE PLANE AND SEISMIC GROUND MOTION

作　　者：张根昌[1] 齐辉[1] 刘平安 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001

出　　处：《力学与实践》2013年第1期60-66,共7页Mechanics in Engineering

摘　　要：研究了以任意方向入射的平面SH波对直角平面区域内圆形衬砌的散射与地震动问题.利用复变函数法、多极坐标移动技术及镜像法,将直角平面区域内的波场延拓于半无限空间,根据边界条件将该问题的解答可归结为对一组无穷代数方程组的求解问题,通过算例考虑衬砌的动应力集中和地表位移.结果表明,衬砌的动应力集中和地表位移幅值取决于入射波频率、角度、衬砌的位置和厚度比.The scattering of SH-wave with arbitrary incident angle by a circular lining in a right-angle plane is studied together with its influence on the seismic ground motion. The problem in a right-angle plane is transformed into the scattering of SH-wave in half-space by using the complex function method, the multi-polar coordinate transformation and the image method. According to the boundary conditions , the solution of the problem can be reduced to a series of algebraic equations. The numerical examples show that the concentration of the dynamic stress and the ground motion are related with the different wave numbers, the angle, the geometrical location and the thickness of the circular cavity.

关 键 词：直角平面区域 圆形衬砌 SH波散射 动应力集中 

分 类 号：O343.1[理学—固体力学] P315.3[理学—力学]