Fuzzy stochastic reliability analysis of slopes

Lü Xi-lin; QIAN Jian-gu; Lü Long; Lü En-lin

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Fuzzy stochastic reliability analysis of slopes

更新时间：2026-06-25

- Fuzzy stochastic reliability analysis of slopes
- Vol. 29, Issue 12, (2008)
- 作者机构：
  
  1. 同济大学岩土与地下工程教育部重点实验室,上海,200092
  2. 同济大学地下建筑与工程系,上海,200092
  3. 西南交通大学峨眉校区土木工程系，四川峨眉山,614202
  4. 重庆大学工程力学系,重庆,400030
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU443
- Online First：11 August 2013，
  
  Published：2008
- 稿件说明：
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Lü Xi-lin, QIAN Jian-gu, Lü Long, et al. Fuzzy stochastic reliability analysis of slopes[J]. 2008, 29(12).
DOI：

Lü Xi-lin, QIAN Jian-gu, Lü Long, et al. Fuzzy stochastic reliability analysis of slopes[J]. 2008, 29(12). DOI：

摘要

为合理描述边坡稳定性分析中存在的多种不确定性，应同时考虑随机和模糊两种因素带来的影响。用L-R型模糊数描述随机变量的均值和方差，建立了模糊随机可靠性分析模型。为简化计算，将模糊数通过分解定理，取一系列截集，转换为一系列区间数进行计算。在一次二阶矩法基础上，推导了基于瑞典条分法及毕肖普法计算模糊随机可靠度的具体公式。算例表明，该法是合理实用的。

Abstract

In order to describe various uncertainties in slope stability analysis reasonably

stochastic and fuzzy factors should be considered simultaneously. Using L-R type fuzzy numbers to describe the mean values and variances of stochastic numbers

a novel fuzzy stochastic model for reliability analysis is proposed. For simplicity

the fuzzy stochastic reliability is calculated by transforming fuzzy numbers into a series of interval numbers via cut set theory. Based on the First-order Second-moment Method (FOSM)

the fuzzy stochastic model is employed to Sweden Method and Bishop Method to calculate the fuzzy reliability factors of slope. It is demonstrated through examples that the proposed model is theoretically innovative and practically useful.

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