【摘要】 通过Laplace变换 ,建立了各向同性弹性饱和土在圆柱坐标系下 ,基于Laplace变换域内的Biot非轴对称波动方程 ;利用方位角的Fourier变换和径向Hankel变换 ,将波动方程转化为一组二阶常微分方程组 ;求解波动方程后 ,得到有限层厚的饱和地基的位移和应力通解 ;进而结合饱和地基的边界条件和排水条件 ,求解了任意竖向力作用下 ,饱和半空间地基的动力响应问题更多还原

【Abstract】 Based on the Biot’s theory of two-phase medium, the 3-D non-axisymmetric dynamic governing equations of saturated soil is given. Then, by means of the method of Laplace integral transform, Fourier expanding and Hankel integral transform, the governing equations is solved in the Laplace-Hankel transforming region. Combining the boundary conditions and draining condition on the surface saturated soil-foundation, the non-axisymmetric dynamic response of displacement and stress and pore pressure in saturated half-space under vertical surface exciting are obtained.更多还原