| 基于矢量和分析方法的边坡滑面搜索 |
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| 引用本文： | 郭明伟,李春光,葛修润,王水林,吕颖慧.基于矢量和分析方法的边坡滑面搜索[J].岩土力学,2009,30(6):1775-1781. |
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| 作者姓名： | 郭明伟 李春光 葛修润 王水林 吕颖慧 |
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| 作者单位： | 中国科学院武汉岩土力学研究所,岩土力学与工程国家重点实验室,武汉,430071 |
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| 摘 要： | 基于力是矢量这个基本概念，给出了边坡矢量和法安全系数的矢量表达式。在边坡荷载已知的情况下，运用有限元法计算得到边坡真实的应力分布状态，使用矢量和法安全系数并采用优化算法中的直接法搜索边坡的临界滑面。计算结果表明，使用矢量和分析法搜索得到的临界滑面位置与极限平衡法得到的滑面位置基本吻合，且安全系数相对误差最大为2.09 %，验证了该方法在边坡稳定分析中的合理性与可靠性。矢量和分析方法与基于强度储备安全系数的分析方法不同，具有明确的物理和力学意义，且不需引入过多假设，公式简洁，易于进行三维边坡稳定分析，不需进行迭代计算，可在工程实际中得到广泛的运用。
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| 关 键 词： | 矢量和分析方法 滑面搜索 极限平衡法 边坡稳定性分析 |
| 收稿时间： | 2008-09-19 |
Searching potential slip surface of slopes based on the vector sum analysis method |
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| GUO Ming-wei,LI Chun-guang,GE Xiu-run,WANG Shui-lin,Lü Ying-hui.Searching potential slip surface of slopes based on the vector sum analysis method[J].Rock and Soil Mechanics,2009,30(6):1775-1781. |
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| Authors: | GUO Ming-wei LI Chun-guang GE Xiu-run WANG Shui-lin Lü Ying-hui |
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| Institution: | State Key Laboratory of Rock & Soil Mechanics, Institute of Rock & Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | Based on the vector characteristics of forces, the vector expression of the safety factor in the vector sum analysis method (VSAM) is presented. In a slope with certain conditions, after determining the stress distribution with FEM, the critical slip surface can be searched with VSAM and the direct method in optimization algorithm. The calculated results show that the locations of the critical slip surfaces are in good agreement with the ones with Morgenstern—Price (M-P) limit equilibrium method, and the maximum relative error is only 2.09 percents between the safety factor obtained by VSAM and that by M-P method in calculated examples, which proves that VSAM is reasonable and reliable. At present, the methods with the safety factor of strength reserve are widely used in slope engineering; however, VSAM is different from the methods above。VSAM is clear in physics; the formula and its calculating process are very simple; and it will be easy to be applied in 3-D slope stability analysis. So VSAM can be widely used in practice. |
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| Keywords: | vector sum analysis method slip surface search limit equilibrium method slope stability analysis |
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