Improved fourth-moment method for reliability analysis of geotechnical engineering

FAN Wen-liang; WANG Yu-le; WEI Qi-ke; YANG Peng-chao; LI Zheng-liang

doi:10.16285/j.rsm.2016.1055

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Improved fourth-moment method for reliability analysis of geotechnical engineering

更新时间：2026-06-25

- Improved fourth-moment method for reliability analysis of geotechnical engineering
- Vol. 39, Issue 4, Pages: 1463-1468(2018)
- 作者机构：
  
  1. 重庆大学土木工程学院,重庆,400045
  2. 重庆大学山地城镇建设与新技术教育部重点实验室,重庆,400045
  3. 中冶建工集团有限公司,重庆,400080
  4. 同济大学结构工程与防灾研究所,上海,200092
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2016.1055
  CLC： TU47
- Online First：06 June 2018，
  
  Published：2018
- 稿件说明：
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FAN Wen-liang, WANG Yu-le, WEI Qi-ke, et al. Improved fourth-moment method for reliability analysis of geotechnical engineering[J]. 2018, 39(4): 1463-1468.
DOI：

FAN Wen-liang, WANG Yu-le, WEI Qi-ke, et al. Improved fourth-moment method for reliability analysis of geotechnical engineering[J]. 2018, 39(4): 1463-1468. DOI： 10.16285/j.rsm.2016.1055.

摘要

岩土工程可靠度分析中，功能函数往往呈隐式且具有强非线性性质，而目前最为实用的矩方法，如JC法、二次二阶矩法，主要适用于显式功能函数情形。为此，将高效的统计矩估计方法和可靠度分析的高阶矩法相结合，提出了一种岩土工程可靠度分析的改进四阶矩方法。首先，通过引入变量的独立化变换和线性变换将功能函数转换为参考变量的函数，并结合多变量函数的单变量降维近似方法和参考变量计算节点与权系数的确定方法，建立了功能函数前四阶矩的高效点估计法。然后，将上述统计矩与立方正态变换假设相结合，提出了易于实现的岩土工程可靠度分析的改进四阶矩方法。最后，由数学算例验证了统计矩估计方法的效率和精度，并通过经典的岩土工程算例验证了建议的改进四阶矩方法具有高效率、高精度且操作简单等特点。

Abstract

In reliability analysis of geotechnical engineering

the performance function is usually implicit and has strong nonlinearity. However

practical moment methods such as JC method and SORM are mainly applicable to the explicit performance function. In this paper

an improved fourth-moment method for reliability analysis of geotechnical engineering is presented by combining the efficient point estimate method for probability moments with the high order moments method for reliability analysis. Firstly

by introducing independent transformation and linear transformation

the performance function becomes a function of the reference variables

and then an efficient estimate method for the first four moments of performance function is established

which combines the univariate dimension-reduction method for multivariable function with the method for the points and weights of reference variables. Secondly

based on the combination of the estimated probability moments estimation and the cubic normal transformation

an improved fourth-moment method to assess reliability of geotechnical engineering is proposed. Finally

two numerical cases are investigated to verify the proposed point estimate method for probability moments

and results indicate that the proposed estimate method is efficient and accurate

and a classical geotechnical engineering case is used to illustrate the easy-implementation

efficiency and accuracy of the proposed fourth-moment method for reliability analysis of geotechnical engineering.

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