新型分层模型求解非均匀土层轴对称问题  

A NEW MODEL FOR AXISYMMETRIC PROBLEM OF NON-HOMOGENEOUS SOIL LAYER

作　　者：刘铁军[1] 汪越胜[1] 

机构地区：[1]北京交通大学工程力学所,北京100044

出　　处：《工程力学》2008年第3期182-186,193,共6页Engineering Mechanics

摘　　要：该文通过应用一种新的分层模型求解了剪切模量任意变化的非均匀土层受轴对称荷载时的表面位移沉降。根据任意曲线都可以用一系列连续的直线段来逼近,非均匀土层被分为若干个子层,在每个子层中,假设剪切模量沿厚度方向按线性变化,在子层的界面上剪切模量连续并且等于实际值。应用Hankel积分变换和传递矩阵方法,求解了剪切模量按照不同函数形式变化的表面沉降。A new multi-layered model to solve the surface settlement of non-homogeneous soil with arbitrarily varying elastic modulus subjected to axisymmetric loads is presented. This model divides the non-homogeneous soil layer into a series of sub-layers with shear modulus varying linearly in each sub-layer and continuous on the sub-interfaces by means of the fact that anarbitrary curve can be approached by a series of continuous but piecewise linear curves. The settlement of non-homogeneous soil layer with shear modulus expressed in different functions are obtained by Hankel integral transform technique and transfer matrix method.

关 键 词：非均匀土 表面沉降 分层模型 HANKEL变换 传递矩阵 

分 类 号：TU433[建筑科学—岩土工程] O343.7[建筑科学—土工工程]