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研究了移动荷载作用下多孔饱和地基的动力问题.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地基动力响应的影响,重点研究了移动速度达地基表面波速时多孔饱和半空间的振动问题(马赫效应),并与相应的弹性介质的解答进行了比较.结果显示当移动速度与多孔饱和半空间的表面波速相近时,地基会产生很大的振动;当移动速度大于表面波速时,多孔饱和半空间的动力响应与弹性半空间的动力响应有较大的差别.
The dynamic problems of porous saturated ground under moving loads are studied. The governing partial differential equations of this problem are solved by Fourier transform. The influence of moving speed and vibration frequency on the dynamic response of porous saturated ground is considered. (Mach effect) in the porous saturated half space with surface wave velocity, and compared with the solution of the corresponding elastic medium.The results show that when the moving velocity is close to the surface wave velocity in the porous saturated half space, the foundation will produce a great vibration When the moving velocity is larger than the surface wave velocity, the dynamic response of the porous saturated half-space is quite different from that of the elastic half-space.