上覆弹性土层横观各向同性饱和地基竖向振动分析

Vertical vibration analysis of transversely isotropic saturated soils with elastic superstratum

针对上覆弹性土层横观各向同性饱和地基,采用半解析半数值的方法研究了其竖向振动问题.利用Han-kel积分变换分别求解了横观各向同性弹性介质和饱和介质的动力控制方程,结合边界条件给出了谐和荷载作用下上覆弹性土层横观各向同性饱和地基表面位移积分形式解.采取数值Hankel逆变换结合数值算例,讨论了上覆弹性土层厚度、弹性土和饱和土各向异性对地基竖向振幅的影响.结果表明,地表竖向振幅随着上覆弹性土层及饱和土体弹性各向异性参数的增大而减少,而饱和土体渗透系数各向异性对地表竖向振幅的影响不大.

Vertical vibrations on transversely isotropic saturated soils with an elastic superstratum were studied by semi-analytical and semi-numerical method. The dynamic governing equations of elastic and saturated medium were solved by Hankel integral transform. According to the boundary conditions, the displacements were obtained in integral form. Then the numerical inversion of Hankel transform was used to investigate the effect of the thickness of elastic soils, the anisotropy of the elastic soils and the saturated soils on the vertical surface displacement. The results show that the vertical surface displacement decreases with the increase of elastic anisotropic variable of soils, and that the anisotropy of soils permeability coefficient has little effect on the vertical displacement.