| 求解层状地基平面应变问题的解析层元法 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 艾智勇 苏辉 成怡冲 |
| |
| 作者单位： | （ 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 ） |
| |
| 基金项目： | 国家自然科学基金项目(50578121) |
| |
| 摘 要： | 提出了一个求解层状地基平面应变问题的解析层元法。从平面应变问题的基本控制方程出发，通过 Fourier 变换，并依据微分方程原理，推导出相应问题的解析解；基于该解析解，推导出平面应变问题的精确刚度矩阵，即解析层元；然后根据有限层法原理组合得到总刚度矩阵，通过求解总刚度矩阵形成的代数方程，得到层状地基平面应变问题在积分变换域内的解答；应用 Fourier 逆变换技术，得到物理域内的解。编制了相应的计算程序，讨论了土体的分层特性对地基沉降的影响。
|
| 关 键 词： | 解析层元 平面应变 层状地基 Fourier 变换 |
| 收稿时间： | 2012-01-06 |
Analytical layer element method for solving plane strain problem of multi-layered soils |
| |
| AI Zhi-yong,SU Hui,CHENG Yi-chong.Analytical layer element method for solving plane strain problem of multi-layered soils[J].Chinese Journal of Geotechnical Engineering,2011,33(11):1797-1800. |
| |
| Authors: | AI Zhi-yong SU Hui CHENG Yi-chong |
| |
| Affiliation: | (1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China) |
| |
| 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 princip... |
| |
| Keywords: | analytical layer element plane strain multi-layered soils Fourier transform |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《岩土工程学报》浏览原始摘要信息 |
|
点击此处可从《岩土工程学报》下载全文 |
