摘要
针对SH波作用下边坡地形的地震动响应,采用辅助圆弧将计算区域分为2个部分,应用波函数展开法分别求得了各局部坐标下的位移场。通过局部坐标间的几何关系和傅里叶级数展开,统一了各位移场的表达形式。根据虚拟圆弧面的位移连续和应力协调条件,得到了波函数展开系数的线性代数方程组,并采用最小二乘法进行求解。通过与有限元计算结果的对比,验证了本文方法的正确性。参数分析表明,边坡的地面运动取决于其几何形状以及入射波特性,边坡对水平入射SH波有明显的遮拦效应。
Seismic response of the slope topography to SH wave incidence is investigated in the light of the wave function expansion method in this study.An auxiliary circular arc is assumed to divide the calculation region into two subregions.Wave potentials in each subregions are obtained by means of the local coordinates.Based on the geometry relationship between the local coordinates and Fourier series expansion,the wave potentials are expressed with the global coordinate.Boundary value problem is solved with the displacement compatibility and the stress balance along the auxiliary arc.Least square method is applied to solve the equations of the unknown coefficients.The accuracy of the present solution is verified by comparison with the finite element method.Parametric study indicates that surface motion of the slope depends greatly on the topography and the property of the incident waves.Shielding effect of the slope to the earthquake waves is obvious for small incident angles.
作者
吴志宇
刘齐建
WU Zhiyu;LIU Qijian(College of Civil Engineering,Hunan University,Changsha,Hunan 410082,China)
出处
《公路工程》
北大核心
2019年第3期80-84,共5页
Highway Engineering
基金
湖南省自然科学基金项目(2018JJ2049)
湖南科技大学岩土工程稳定控制与健康监测省重点实验室开放基金资助项目(E21709)
