| 解析层元法求解层状地基非轴对称荷载问题 |
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| 引用本文： | 艾智勇,曾文泽.解析层元法求解层状地基非轴对称荷载问题[J].岩土工程学报,2011,33(7):1078-1081. |
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| 作者姓名： | 艾智勇 曾文泽 |
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| 作者单位： | (1.同济大学地下建筑与工程系，上海200092 ; 2.同济大学岩土及地下工程教育部重点实验室，上海200092) |
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| 摘 要： | 从弹性层状地基非轴对称问题的解析解出发，推导出Hankel积分变换域内单层地基的解析层元，即对称的精确刚度矩阵;然后根据有限层法原理组合相邻层元得到总刚度矩阵，并结合边界条件，求解总刚度矩阵形成的代数方程，得到层状地基非轴对称问题在Hankel积分变换域内的解答;最后应用Hankel逆变换技术，得到物理域内的解。编制了相应的计算程序，分析了非轴对称荷载作用下多层地基沿径向的地表水平位移性状。
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| 关 键 词： | 解析层元 层状地基 非轴对称荷载 Hankel变换 |
| 收稿时间： | 2010-04-12 |
Analytical layer-element method for non-axisymmetric loading problem of multi-layered soils |
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| AI Zhi-yong,ZENG Wen-ze.Analytical layer-element method for non-axisymmetric loading problem of multi-layered soils[J].Chinese Journal of Geotechnical Engineering,2011,33(7):1078-1081. |
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| Authors: | AI Zhi-yong ZENG Wen-ze |
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| 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) |
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| Abstract: | Starting from the analytical solution for the non-axisymmetric elastic problem of multi-layered soils,the analytical layer element of a single soil layer,namely a symmetric exact stiffness matrix,is acquired in the Hankel transform domain.The global stiffness matrix is obtained by assembling the interrelated layer-elements based on the principles of finite layer method.By solving algebraic equations of the global stiffness matrix which satisfy the boundary conditions,we can get the solution to the non-axisy... |
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| Keywords: | analytical layer element multi-layered soils non-axisymmetric loading Hankel transform |
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