| 三维横观各向同性成层地基的传递矩阵解 |
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| 引用本文： | 艾智勇,成怡冲.三维横观各向同性成层地基的传递矩阵解[J].岩土力学,2010,31(Z2):25-30. |
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| 作者姓名： | 艾智勇 成怡冲 |
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| 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 |
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| 基金项目： | 国家自然科学基金资助项目(No. 50578121)。 |
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| 摘 要： | 通过解耦变换推导出三维直角坐标系下横观各向同性地基的非耦合状态方程;利用双重Fourier变换以及Cayley-Hamilton定理得到了单层地基的传递矩阵;结合边界条件和层间连续条件进而得其传递矩阵解。编制了相应程序并进行了数值计算与分析,结果表明:数值结果与已有文献结果十分吻合,地基的横观各向同性性质与成层性质对受荷地基中竖向位移和应力的影响较为显著。
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| 关 键 词： | 解耦变换 横观各向同性 传递矩阵 成层地基 |
| 收稿时间： | 2010-05-27 |
Transfer matrix solutions of three-dimensional transversely isotropic multilayered soils |
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| AI Zhi-yong,CHENG Yi-chong.Transfer matrix solutions of three-dimensional transversely isotropic multilayered soils[J].Rock and Soil Mechanics,2010,31(Z2):25-30. |
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| Authors: | AI Zhi-yong CHENG Yi-chong |
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| Institution: | Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | The uncoupled state equation of three-dimensional transversely isotropic soils is deduced by constructing a decoupled transform in rectangular coordinate system; the transfer matrix of single soil layer is obtained through the double Fourier transform and Cayley-Hamilton theorem; in combination with the boundary conditions and the continuity conditions between layers, the transfer matrix solutions of three-dimensional transversely isotropic multilayered soils are obtained. Numerical calculation and analysis are carried out by the computer program. It is shown that the results agree well with the existing solutions; and the transversely isotropy and the characteristics of layered soils have remarkable influence on the vertical displacements and vertical normal stresses. |
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| Keywords: | decoupled transform transversely isotropy transfer matrix multilayered soils |
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