SH波对直角平面区域内圆形衬砌的散射与地震动

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．

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

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.