准饱和土地基上刚性基础的动力响应

Dynamic Responses of a Rigid Foundation on QuasiSaturated Soil

基于Biot两相介质理论和准饱和土理论,研究了饱和度对地基上刚性基础的竖向振动的影响,运用Hankel变换求解动力控制方程,结合混合边值条件建立了对偶积分方程进行求解,同时给出了地基表面动力柔度系数和无量纲基础振幅。数值分析结果表明:饱和度对地基上刚性基础的竖向振动有较大的影响,无量纲位移响应幅值仅在某一频率附近变化明显。

Based on the Biot's twophase theory for fluidsaturated porous media and the theory of quasisaturated soils, the influence on the vertical vibration of a rigid foundation induced by saturation is discussed. By using the technology of Hankel transform, the dynamic control differential equations are solved. For the mixed boundary condition, the dual integral equations of vertical vibration are established and solved, and the surface dynamic flexibility coefficients and nondimensional vibration range of the foundation are provided. Numerical results indicate that the saturation has significant influence on the vertical vibration of the rigid foundation on the ground, the nondimensional displacement response amplitude changes obviously around a certain frequency.