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| 基于潘氏极大值原理的边坡稳定性的整体分析法 | |
| 引用本文： | 杨召亮,孙冠华,郑宏.基于潘氏极大值原理的边坡稳定性的整体分析法[J].岩土力学,2011,32(2):559-563. |
| 作者姓名： | 杨召亮 孙冠华 郑宏 |
| 作者单位： | 1. 三峡大学,三峡库区地质灾害教育部重点实验室,湖北,宜昌,443002 2. 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 3. 三峡大学,三峡库区地质灾害教育部重点实验室,湖北,宜昌,443002;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 |
| 基金项目： | 国家自然科学基金，国家杰出青年基金，国家科技支撑计划项目 |
| 摘 要： | 基于整体分析法和潘家铮最大值原理,建立了求解给定滑面安全系数的非线性优化模型。该模型将安全系数和滑面法向应力视为独立变量,目标函数就是安全系数本身,约束条件包括平衡方程、滑面法向应力和条间推力不负,以及推力线位于滑体之内。由于目标函数又仅是线性函数,且约束函数至多是二次多项式函数,所以该模型的非线性程度较低,具有良好的收敛性,可利用经典的优化算法进行求解。 |
| 关 键 词： | 边坡稳定性 极限平衡法 非线性优化问题 潘家铮最大值原理 |
| 收稿时间： | 2009-11-07 |
Global method for stability analysis of slopes based on Pan's maximum principle |
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| YANG Zhao-liang,SUN Guan-hua,ZHENG Hong.Global method for stability analysis of slopes based on Pan's maximum principle[J].Rock and Soil Mechanics,2011,32(2):559-563. | |
| Authors: | YANG Zhao-liang SUN Guan-hua ZHENG Hong |
| Institution: | 1. Key Laboratory of Geological Hazards in Three Gorges Reservoir of Ministry of Education, China Three Gorges University, Yichang, Hubei 443002, China; 2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
| Abstract: | On the basis of global analysis procedure and PAN Jia-zheng’s maximum principle for the stability analysis of slopes, a nonlinear optimum model is set up for calculating the factor of safety, which takes as independent variables the factor of safety as well as the normal stress on the slip surface. The objective function is just the factor of safety. The constraint conditions include that (1) the equilibrium equations are satisfied; (2) the normal stress and the interslice thrust are not negative; and (3) the thrust line is within the slip body. Since the objective function is linear and the constraint functions are polynomials of at most degree two, the model has weaker nonlinearity, enjoys a large scope of convergence, and can be solved by means of the conventional optimization algorithms. |
| Keywords: | slope stability limit equilibrium method nonlinear optimization problem Pan’s maximum principle |
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