饱和地基竖向振动的衰减特性

Vibration Attenuation of Saturated Strata by Vertical Surface Loads

基于第一作者提出的弹性波动方程 ,研究了匀质弹性饱和地基的 Lamb问题 .考虑线源和点源两种情形 ,通过 Fourier变换和 Hankel变换 ,导出了 Lamb问题的积分形式解 .通过算例研究了该积分形式解数值实施的可行性 ,给出了地基表面竖向位移的衰减曲线 。

Based on the basic equations of elastic waves in saturated soils established by the first author, Lamb's problem for saturated strata was studied. By means of Fourier transform and Hankel transform, the integral solutions for a line and a point harmonic excitation were derived, respectively. The vibration attenuation at ground surface was presented. And the combined effects of the soil permeability and the loading frequency on the results are shown to be rather complicated, which is similar with the single phased elastic strata only at an extremely low permeability and/or frequency.