Hasofer-Lind reliability index calculation under correlation conditions

Hong Changhua; Gong Xiaonan

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Hasofer-Lind reliability index calculation under correlation conditions

更新时间：2026-06-25

- Hasofer-Lind reliability index calculation under correlation conditions
- Vol. 21, Issue 1, (2000)
- 作者机构：
  
  浙江大学土木系岩土工程研究所,浙江,杭州,310027
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU470+.3
- Online First：21 November 2016，
  
  Published：2000
- 稿件说明：
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Hong Changhua, Gong Xiaonan. Hasofer-Lind reliability index calculation under correlation conditions[J]. 2000, 21(1).
DOI：

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

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

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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