【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孔洞的散射与地震动问题。首先,利用复变函数法、多极坐标移动技术及叠加原理,构造了一个可以预先满足直角平面区域自由表面上应力自由边界条件的圆孔对SH波散射的波函数;其次,利用镜像法,将直角平面区域内的波场镜像于半无限空间,并得到了满足边界条件的总波场;最后,作为对抗暴抗震问题的研究,通过算例考虑了圆孔的动应力集中和地表的动位移.结果表明,圆孔的动应力集中和地表的位移幅值取决于入射波频率、角度和圆孔的位置。更多还原

【Abstract】 Scattering of SH-wave with arbitrary incident angle by a circular cavity in right-angle plane is studied together with its influence on seismic ground motion. A scattering wave function, satisfying zero-stress condition on uncontrolled surfaces in right-angle plane, is constructed with the complex function method, the multi-polar coordinate transformation and the overlapping principle of SH-wave. Then the image method is used, and the problem in right-angle plane is transformed into the scattering of SH-wave in half-space, and the total wave field satisfying boundary condition can be obtained. The numerical examples reveal that the concentration of dynamic stress and ground motion depended on the different wave number, angles and geometrical locations of the circular cavity.更多还原