路基不均匀沉降的解析解  

Analytical Solution of Non-uniform Settlement for Embankments on Soil Foundations

作　　者：周顺华[1] 李尧臣[2] 

机构地区：[1]同济大学交通运输工程学院,上海200000 [2]同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2011年第1期1-9,共9页Chinese Quarterly of Mechanics

基　　金：国家863计划项目(2007AA11Z116)

摘　　要：如何准确地计算路基的不均匀沉降是铁道工程中急待解决的重要问题。本文用应力扩散法和等效截面法的思想建立了在路堤荷载作用下分析路基不均匀沉降的平面应变模型,它由两段不同土质的路基组成,土的力学参数沿深度按指数规律变化。建立了问题的基本方程和边界条件。对问题的解进行了拆分,一部分是猜测的解,另一部分用Fourier变换方法求解,从而得了路基不均匀沉降的解析解。最后通过一个算例给出了该解析解的数值结果。Non-uniform settlement of embankments on soil foundations is one of important problems in railroad engineering.A novel plane strain model for analyzing this problem was proposed.The stress diffusion method and transform section method were employed in construction of this model.The embankment was constructed on a foundation which consists of two different soil segments.The parameters of soil properties vary in an exponential form along the depth of the foundation.The basic differential equations and pertinent boundary conditions were given.The solution of this problem was divided into two portions,one portion was provided by guessing,the other was obtained by using Fourier transform technique.Finally,the analytical solution of non-uniform settlement was found.The numerical result of this solution was provided through an example.

关 键 词：路堤 路基 不均匀沉降 FOURIER变换 解析解 

分 类 号：O343[理学—固体力学] U416.1[理学—力学]