| 边坡可靠度分析的一种新的优化求解方法 |
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| 引用本文： | 吴振君,王水林,汤华,王威,葛修润.边坡可靠度分析的一种新的优化求解方法[J].岩土力学,2010,31(3):713-718. |
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| 作者姓名： | 吴振君 王水林 汤华 王威 葛修润 |
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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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| 基金项目： | 国家自然科学基金资助项目，中国科学院知识创新工作重要方向项目 |
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| 摘 要： | 介绍了Low & Tang提出的一种新的可靠度优化求解方法，并将之用于边坡可靠度分析中：该方法适用于任何概率分布的相关变量，不必计算当量正态均值和方差、相关变量独立变换，直接在变量的原始空间内搜索边坡的最小可靠指标和概率临界滑面，可采用任何合适的约束优化方法进行求解，方法清晰简洁。边坡可靠度分析常用的滑面有2个：最小安全系数（变量均值处）对应的确定性临界滑面和最小可靠指标对应的概率临界滑面，但这2个滑面在有些情况下差别较大，Hassan & Wolff提出了一种简化方法可以方便地获得概率临界滑面，但由于方法简单，受到质疑。通过一系列算例分析，优化求解方法得到的概率临界滑面和Hassan & Wolff的简化方法滑面非常接近，显示了简化方法的有效性，值得在工程实践中推广。
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| 关 键 词： | 边坡可靠度 土坡 优化求解 概率临界滑面 确定性临界滑面 |
| 收稿时间： | 2009-09-02 |
A new optimization approach for slope reliability analysis |
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| WU Zhen-jun,WANG Shui-lin,TANG Hua,WANG Wei,GE Xiu-run.A new optimization approach for slope reliability analysis[J].Rock and Soil Mechanics,2010,31(3):713-718. |
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| Authors: | WU Zhen-jun WANG Shui-lin TANG Hua WANG Wei GE Xiu-run |
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| Institution: | State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | A new optimization approach for reliability analysis proposed by Low &; Tang is introduced and applied to slope reliability analysis. The optimization approach has many advantages: it is applicable to correlated variables with any probability distributions; it need not compute the equivalent normal means and standard deviations and independence transform of correlated variables. It can obtain the minimum reliability index and the probabilistic critical slip surface within the original variable space, and it is very simple to implement with any appropriate optimization method. Two slip surfaces are often used in slope reliability analysis: the deterministic critical slip surface of the minimum factor of safety at mean variable and the probabilistic critical slip surface of the minimum reliability index. However, there are circumstances where the two slip surfaces are quite different. A simple method proposed by Hassan &; Wolff to obtain the probabilistic one seems questionable due to its simplicity. The results of example slope reliability analysis show that the probabilistic critical slip surface obtained by optimization approach is quite close to that obtained by Hassan &; Wolff’s simplified method, which shows that the simplified method is efficient and can be used in practice. |
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| Keywords: | slope reliability soil slope optimization approach probabilistic critical slip surface deterministic critical slip surface |
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