| 陈仁朋,周万欢,王宏志,陈云敏.用DQM求解成层地基一维非线性固结问题[J].计算力学学报,2005,22(3):310~316 |
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| 用DQM求解成层地基一维非线性固结问题 |
| Study on one-dimensional nonlinear consolidation of multi-layered soil using differential quadrature method |
| 修订日期：2003-06-17 |
| DOI：10.7511/jslx20053062 |
| 中文关键词: 多层地基 一维非线性固结 DQM解 |
| 英文关键词:multi-layered soil,one-dimensional nonlinear consolidation,differential quadrature method |
| 基金项目:国家自然科学基金(50308026)资助项目. |
| 陈仁朋 周万欢 王宏志 陈云敏 |
| 浙江大学岩土工程研究所,浙江杭州310027 |
| 摘要点击次数: 1113 |
| 全文下载次数: 9 |
| 中文摘要: |
| 由于多层地基的一维非线性固结问题求解的复杂性，其解析解很难求得。本文基于Davis和Raymond一维非线性固结理论，利用DQM(Differential Quadrature Method)导了初始有效应力沿深度变化、任意边界条件、任意荷载作用下成层地基一维非线性固结的统一表达式，求得了孔压、有效应力和平均固结度的解答。通过解的收敛性分析讨论了DQM解的有效性。由于DQM解对于固结间题各种复杂条件具有统一的矩阵表达式，更便于编程计算和工程应用。最后，用本文解答对三层地基一维非线性固结问题进行了讨论。 |
| 英文摘要: |
| In this paper the differential quadrature method was employed for the analysis of the one-dimensional nonlinear consolidation of multi-layered soil, based on the nonlinear consolidation theory proposed by Davis and Raymond, also considering the initial effective stress distribution, arbitrary boundary and loading condition. The convergence and accuracy analysis showed that the DQM formulation yields a monotonic convergence and a good accuracy with increasing number of sampling points and the computational results agreed with those of the analytical solution when adopting 7-9 interpolations in each layer. Due to the uniform matrix structure of the solution in this paper, it is convenient for formulating computational program and engineering practice and it can avoid the cumbersome work of the analytical solution in solving the eigen-equation for eigen values. Furthermore, the application of the DQM solution in this paper was demonstrated to the problem of one-dimensional nonlinear consolidation of three layered soil. Some diagram was prepared and the influence of the thickness, the consolidation coefficient and the vertical coefficient of permeability of each layer on the consolidation behavior of layered soil was discussed. |
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