| 多层地基非轴对称Biot固结的理论解 |
| |
| 引用本文： | 王全胜,艾智勇.多层地基非轴对称Biot固结的理论解[J].岩土力学,2008,29(Z1):645-649. |
| |
| 作者姓名： | 王全胜 艾智勇 |
| |
| 作者单位： | 同济大学 地下建筑与工程系 岩土及地下工程教育部重点实验室，上海 200092 |
| |
| 摘 要： | 提出了一种新方法来推导多层地基非轴对称Biot固结问题的传递矩阵，相应的理论推导工作量较少。基于柱坐标系下非轴对称Biot固结的基本方程，通过引入中间变量，并对坐标 进行Fourier级数展开，对时间 和坐标 进行Laplace-Hankel变换，得到了6×6阶和2×2阶的两组常微分方程；然后，两组常微分方程进行关于 的Laplace变换和逆变换，得到了单层地基非轴对称Biot固结问题的传递矩阵；结合边界条件和连续条件，运用传递矩阵法得到多层地基非轴对称Biot固结问题在Laplace-Hankel变换域内的解，通过Laplace-Hankel逆变换得到了该问题物理域的真实解答。编制了计算程序，并进行了数值计算与分析。该方法具有计算速度较快的特点，方便工程应用。
|
| 关 键 词： | Biot固结 传递矩阵 Laplace-Hankel变换 理论解 |
| 收稿时间： | 2008-07-26 |
Solutions of nonaxisymmetric Biot consolidation of multilayered soils |
| |
| WANG Quan-sheng,AI Zhi-yong.Solutions of nonaxisymmetric Biot consolidation of multilayered soils[J].Rock and Soil Mechanics,2008,29(Z1):645-649. |
| |
| Authors: | WANG Quan-sheng AI Zhi-yong |
| |
| Institution: | Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, 200092 |
| |
| Abstract: | A new method which can reduce the of derivation workload is developed to obtain the transfer matrix for nonaxisymmetric Biot consolidation of multilayered soils. Based on the nonaxisymmetric Biot consolidation equations in the cylindrical coordinate system, introducing intermediate variables, together with the technique of the Fourier expansions with respect to coordinate ?, and taking Laplace-Hankel transform with respect to time t and coordinates r, two sets of ordinary differential equations of 6 order and 2 order for Biot consolidation are obtained; then the transfer matrix for the nonaxisymmetric Biot consolidation of a single layer soil is acquired by taking Laplace transform and its inverse with respect to coordinates z. The solution of multilayered soils in the Laplace-Hankel transform domain is obtained by using the transfer matrix method combined with the continuity conditions of adjacent layers and boundary conditions. The solution in physical domain can be obtained by inverting the Laplace-Hankel transforms. Numerical calculations and analysis are carried out. The method has a high speed of computation and is convenient for engineering application. |
| |
| Keywords: | Biot consolidation transfer matrix Laplace-Hankel transforms theoretical solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《岩土力学》浏览原始摘要信息 |
| 点击此处可从《岩土力学》下载免费的PDF全文 |
