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求解层状地基平面应变问题的解析层元法

艾智勇 苏辉 成怡冲

岩土工程学报2011,Vol.33Issue(11):1797-1800,4.
岩土工程学报2011,Vol.33Issue(11):1797-1800,4.

求解层状地基平面应变问题的解析层元法

Analytical layer element method for solving plane strain problem of multi-layered soils

艾智勇 1苏辉 2成怡冲1

作者信息

  • 1. 同济大学地下建筑与工程系,上海200092
  • 2. 岩土及地下工程教育部重点实验室,上海200092
  • 折叠

摘要

Abstract

An analytical layer element method is proposed to solve the plane strain problem of multi-layered soils.Starting from the governing equations of the plane strain problem the analytical solution is obtained by introducing the Fourier transform and solving differential equations.And then,according to the analytical solution,an exact stiffness matrix for the multi-layered plane strain problem is established,which is called analytical layer element.The global stiffness matrix is established by using the principle of the finite layer method,and the solutions for the plane strain problem of multi-layered soils in the transform domain are obtained by solving the algebraic equations about the global stiffness matrix.The actual solutions in the physical domain are acquired by inverting the Fourier transform.Numerical analysis is carried out to discuss the influence of the layered characteristics on the vertical displacements of the soil.

关键词

解析层元/平面应变/层状地基/Fourier变换

Key words

analytical layer element/plane strain/multi-layered soils/Fourier transform

分类

建筑与水利

引用本文复制引用

艾智勇,苏辉,成怡冲..求解层状地基平面应变问题的解析层元法[J].岩土工程学报,2011,33(11):1797-1800,4.

基金项目

国家自然科学基金项目 ()

岩土工程学报

OA北大核心CSCDCSTPCD

1000-4548

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