受移动简谐力作用的多孔弹性半平面问题

研究了匀速移动的振动荷载作用下半无限多孔饱和固体中产生的应力和孔隙水压力．应用Fourier变换求解该问题的控制偏微分方程，考虑了荷载的移动速度及振动频率对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进行了比较．结果显示多孔饱和半平面中应力和孔隙水压力随荷载的移动速度与振动频率的增加而增大，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的动力响应有较大的差别。

ANALYSIS ON A POROELASTIC HALF PLANE SUBJECTED TO A MOVING PERIODIC LOAD

This investigation is concerned with the stresses and pore fluid pressure induced in a semi-infinite poroelastic solid by a periodic vibration load moving at a constant velocity along its surface. The governing equations for the proposed analysis are solved using Fourier transform. The solutions for the stresses and pore pressure are presented and compared with the corresponding elastic solutions. Influences of the moving velocity and vibration frequency of the load on the stresses and pore pressure are studied. The results obtained reveal that the stresses and pore pressure of a poroelastic half plane increase with increasing the moving velocity and vibration frequency of the load, and the poroelastic effects do have an influence on the stresses and pore pressure.