相关情况下Hasofer_Lind可靠度指标的求解

›› 2000, Vol. 21 ›› Issue (1): 68-71.

Hasofer-Lind reliability index calculation under correlation conditions

Hong Changhua , Gong Xiaonan

Civil Engineering Department of Zhejiang University, Hangzhou 310027, China

Received:1999-04-12 Online:2000-03-20 Published:2016-11-21

摘要/Abstract

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。

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, the Monte-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 .

Key words: correlation variables, Hasofer-Lind reliability index, orthogonal transformation, Monte-Carlo simulation, Excel Solver

中图分类号:

TU 470+. 3

洪昌华 , 龚晓南. 相关情况下Hasofer_Lind可靠度指标的求解[J]. , 2000, 21(1): 68-71.

Hong Changhua , Gong Xiaonan. Hasofer-Lind reliability index calculation under correlation conditions[J]. , 2000, 21(1): 68-71.

参考文献

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

本文评价

推荐阅读 10

[1]	宫伟力，安里千，赵海燕，毛灵涛. 基于图像描述的煤岩裂隙CT图像多尺度特征[J]. , 2010, 31(2): 371 -376 .
[2]	孙曦源，栾茂田，唐小微. 饱和软黏土地基中桶形基础水平承载力研究[J]. , 2010, 31(2): 667 -672 .
[3]	刘杰，何杰，闵长青. 楔形桩与圆柱形桩复合地基承载性状对比研究[J]. , 2010, 31(7): 2202 -2206 .
[4]	卢黎，张四平，张永兴，胡岱文，吴曙光. 压力型锚索力学机理现场试验研究[J]. , 2010, 31(8): 2435 -2440 .
[5]	张建民，王富强. 饱和剪胀性砂土液化后流滑现象与机理[J]. , 2010, 31(9): 2711 -2715 .
[6]	刘汉龙，陶学俊，张建伟，陈育民. 水平荷载作用下PCC桩复合地基工作性状[J]. , 2010, 31(9): 2716 -2722 .
[7]	王观石，李长洪，胡世丽，冯春，李世海. 岩体中应力波幅值随时空衰减的关系[J]. , 2010, 31(11): 3487 -3492 .
[8]	许江，唐晓军，李树春，杨红伟，陶云奇. 周期性循环载荷作用下岩石声发射规律试验研究[J]. , 2009, 30(5): 1241 -1246 .
[9]	苗雨，万云冬，张绍敏. 含反射裂纹沥青路面的动力响应分析[J]. , 2009, 30(8): 2511 -2516 .
[10]	李敏，柴寿喜，王晓燕，魏丽. 以强度增长率评价麦秸秆加筋盐渍土的加筋效果[J]. , 2011, 32(4): 1051 -1056 .