高速移动简谐荷载下层状多孔饱和固体的动力响应

本文研究了匀速移动的振动荷载作用下层状多孔饱和固体的动力响应。应用Fourier变换求解该问题的控制偏微分方程,首先考虑了荷载的移动速度及振动频率对单层多孔饱和固体中应力与孔隙水压力的影响,并与相应的弹性介质的解答和半平面解答进行了比较;然后运用精确刚度矩阵法求解了层状多孔饱和固体的应力响应,并与单层问题进行了比较。结果显示层状多孔饱和固体中应力和孔隙水压力随荷载的移动速度的增加而明显变化,层状多孔饱和固体在移动荷载下的动力响应与相应的单相弹性固体和半平面固体的动力响应有较大的差别。

Dynamic Responses of a Layered Poroelastic Medium under High Speed and Time Harmonic Load

The dynamic responses of a layered poroelastic soil subjected to high speed and time harmonic load was studied.The governing equations for the proposed anasysis were solved by using Fourier transform.The influences of the moving velocity and vibration frequency of the load on the stresses and pore pressure of single-layer soil were studied first,and the solutions for the stresses and pore pressure were presented and compared with the corresponding elastic solutions and half space solutions;then the responses of multi-layered soil were studied with exact stiffness matrix method and compared with the responses of single layer soil.The results reveal that the stresses and pore pressure of a layered poroelastic soil vary obviously with incresasing the moving velocity and differ greatly with that of elastic model and half space model.