| 相关情况下Hasofer_Lind可靠度指标的求解 |
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| 引用本文： | 洪昌华,龚晓南. 相关情况下Hasofer_Lind可靠度指标的求解[J]. 岩土力学, 2000, 21(1): 68-71 |
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| 作者姓名： | 洪昌华 龚晓南 |
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| 作者单位： | 浙江大学 土木系岩土工程研究所, 浙江 杭州 310027 |
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| 基金项目： | 国家自然科学基金资助项目! (No.596790 16) |
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| 摘 要： | 岩土工程的可靠度计算中, 基本变量之间往往存在着较强的相关性。 阐述了相关情况下 Hasofer-Lind 可靠度指标计算的几种方法: 正交变换法; 改进的验算点一次二阶矩法; Monte-Carlo 模拟法; 优化求解法。 在用优化方法求解可靠度指标 β 时, 利用 Microsoft Excel 中的规划求解器来进行优化求解, 避免了相关变量的独立变换以及求极限状态函数对基本变量的偏导数这两个问题。 实例比较了不同方法的求解结果。
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| 关 键 词： | 变量相关 Hasofer-Lind 可靠度指标 正交变换 Monte-Carlo 模拟 规划求解 |
| 收稿时间： | 1999-04-12 |
| 修稿时间： | 1999-04-12 |
Hasofer-Lind reliability index calculation under correlation conditions |
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| Hong Changhua,Gong Xiaonan. Hasofer-Lind reliability index calculation under correlation conditions[J]. Rock and Soil Mechanics, 2000, 21(1): 68-71 |
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| Authors: | Hong Changhua Gong Xiaonan |
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| Affiliation: | Civil Engineering Department of Zhejiang University, Hangzhou 310027, China |
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| Abstract: | Original variables are greatlty correlated with each other in reliability analysis of geotechnical engineering . Several methods of HasoferLind reliability index calculation are stated , including the orthogonal transformation method , the improved first-order -second-moment method, theMonte-Carlo simulation method, and the optimal method . When using the method that directly uses optimal tool to solve reliability index β , the orthogonal transformation about correlation variables and the partial derivatives of the limit state function to the original variables are avoided, and Microsoft Excel 97 Solver is used to do the optimization. Two examples are calculated for the comparison of the methods . |
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| Keywords: | correlation variables Hasofer Lind reliability index orthogonal transformation Monte Carlo simulation Excel Solver |
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