顾尧章, 金波. 轴对称荷载下多层地基的Boit固结及其变形[J]. 工程力学, 1992, 9(3): 81-94.
引用本文: 顾尧章, 金波. 轴对称荷载下多层地基的Boit固结及其变形[J]. 工程力学, 1992, 9(3): 81-94.
Gu Raozhang, Jin Bo. BIOT CONSOLIDATION OF MULTILAYER SUBSOILS UNDER 3D-AXISYMMETRIC LOAD[J]. Engineering Mechanics, 1992, 9(3): 81-94.
Citation: Gu Raozhang, Jin Bo. BIOT CONSOLIDATION OF MULTILAYER SUBSOILS UNDER 3D-AXISYMMETRIC LOAD[J]. Engineering Mechanics, 1992, 9(3): 81-94.

轴对称荷载下多层地基的Boit固结及其变形

BIOT CONSOLIDATION OF MULTILAYER SUBSOILS UNDER 3D-AXISYMMETRIC LOAD

  • 摘要: 本文用Laplace变换、Hankel变换以及矩阵递推规律分别建立了轴对称荷载下单层以及多层地基Biot固结的初始函数表达式。根据表达式推导得到Biot固结引起的竖向变形计算式,此式仅用一个广义积分表达,很容易用数值积分求解。不论地基土层数多少,只要求解一个三元一次代数方程就能得到多层地基固结变形计算式。本文导出的计算式能计算轴对称荷载下多层地基地表任意位置的竖向变形。不但能解决荷载作用于地基表面的Boussinesq问题,而且能解决荷载作用地基内部的_Mindlin问题。

     

    Abstract: In this paper, the initial functions of Biot consolidation of one layer subsoil and multilayer subsoils are established by using the Laplace and Hankel transformation and the recurrence law of matrices respectively. Then the equations for evaluate the vertical deformation due to the Biot consolidation are derived. These equations may be solved easily by using numerical integration. Only three simultaneous linear algebric equations are to be solved no matter how many layers are involved in the subsoils.

     

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