饱和地基在轴对称动力荷载下的振动分析

基于Biot动力固结方程，考虑了土体和水体的惯性力以及水土耦合作用的影响，采用Hankel积分变换求解耦联合方程组，得到动荷载下饱和土Lamb问题的解答，并分析研究了渗透系数和激振频率对竖向位移的影响。根据下边界为不透水基岩的边界条件，获得了轴对称周期荷载作用于地基表面时其上任一点应力、位移的一般积分形式解，并根据算例分别给出了不同频率下和不同渗透系数的土的竖向位移曲线。

Vibration of saturated foundation under the action of axisymmetric cyclic load

Based on the Biot's dynamic consolidation equation the Hankel integral transformation is adopted to derive the solution of Lamb's problem for saturated foundation under the action of dynamic load. The influences of permeability and excitation frequency on vertical displacement are analyzed. The integral solution of the stress and displacement at arbitrary point is deduced for the case in which an impermeable rocky layer exists at the bottom. The calculation result of the vertical displacement under the conditions of different frequency and permeability for an example is given.