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轴对称荷载下多层地基的Boit固结及其变形
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
作者姓名:顾尧章 金波
作者单位:浙江大学(顾尧章),浙江大学(金波)
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。

关 键 词:多层地基  Biot固结  初始函数表达式  固结变形

BIOT CONSOLIDATION OF MULTILAYER SUBSOILS UNDER 3D-AXISYMMETRIC LOAD
Gu Raozhang Jin Bo. BIOT CONSOLIDATION OF MULTILAYER SUBSOILS UNDER 3D-AXISYMMETRIC LOAD[J]. Engineering Mechanics, 1992, 9(3): 81-94
Authors:Gu Raozhang Jin Bo
Affiliation:Zhejiang University
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.
Keywords:Biot consolidation   multilayer subsoils   initial function   consolidated deformation
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