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王小岗. 横观各向同性饱和层状土中垂直受荷群桩的动力阻抗[J]. 岩土工程学报, 2011, 33(11): 1759-1766.
引用本文: 王小岗. 横观各向同性饱和层状土中垂直受荷群桩的动力阻抗[J]. 岩土工程学报, 2011, 33(11): 1759-1766.
WANG Xiao-gang. Dynamic impedance of pile groups subjected to vertical load in layered transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(11): 1759-1766.
Citation: WANG Xiao-gang. Dynamic impedance of pile groups subjected to vertical load in layered transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(11): 1759-1766.

横观各向同性饱和层状土中垂直受荷群桩的动力阻抗

Dynamic impedance of pile groups subjected to vertical load in layered transversely isotropic saturated soils

  • 摘要: 给出了稳态振动时,垂直受荷群桩在 横观各向同性 饱和层状土中动力阻抗计算的一般方法。首先,基于 Biot 饱和介质的三维波动理论,借助 Hankel 变换,得到横观各向同性饱和土轴对称动力问题的通解,利用通解,给出饱和土层在 Hankel 变换域内的精确动力刚度矩阵,进而构建出饱和土层在竖向柱面荷载作用下的动力 Green 函数;其次,根据桩–土界面的位移协调及平衡条件,利用 Kynia 的方法,建立了饱和地基–群桩纵向耦合振动的边界元–有限元方程,给出了垂直受荷群桩动力阻抗的计算公式。算例表明:场地土的各向异性及土层刚度的变化,对摩擦型群桩动力刚度的影响要远大于对端承型群桩的影响。

     

    Abstract: A method to calculate the dynamic impedance of pile groups subjected to vertical harmonic load in layered transversely isotropic saturated soils is proposed. Based on the Biot’s wave theory for fluid-saturated porous media, the general solutions of axial symmetrical dynamic equations for transversely isotropic saturated soils are presented by means of the Hankel integral transform. Then, using the general solutions, the exact dynamic stiffness matrix in the Hankel’s transform domain for a layered saturated stratum and saturated half-space is derived respectively, and the dynamic Green’s function of saturated stratum subjected to internal barrel distributed vertical load is obtained as a result. Furthermore, through a combination of the boundary element method and the finite element method, a system of algebraic equations by satisfying the interface equilibrium and compatibility with pile groups and layered transversely isotropic saturated soils are introduced according to the Kynia’s methodology. The calculated results indicate that the effects of the anisotropy in soil skeleton and the dynamic stiffness in layered saturated stratum on the dynamic impedance of end-bearing pile groups are relatively weak, but are obvious on that of friction pile groups.

     

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