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模糊响应面法及其在边坡稳定可靠度分析中的应用
引用本文:谭晓慧,胡晓军,储诚富,施小平.模糊响应面法及其在边坡稳定可靠度分析中的应用[J].中国科学技术大学学报,2011,41(3).
作者姓名:谭晓慧  胡晓军  储诚富  施小平
作者单位:1. 合肥工业大学资源与环境工程学院,安徽合肥,230009
2. 合肥学院建筑工程系,安徽合肥,230022
基金项目:国家自然科学基金,合肥工业大学博士专项基金
摘    要:基于模糊随机变量理论,提出了边坡稳定的模糊响应面法.模糊响应面法将截集法与随机响应面法有机地组合在一起,可同时考虑边坡工程中存在的模糊性与随机性,是随机响应面法的推广.模糊响应面法可将隐式的模糊极限状态函数显式化,因而可以直观地显示基于模糊随机变量理论的模糊随机可靠度分析方法的实质.算例分析表明:可以将参数的不确定性用变异系数及模糊程度参数来表示,变异系数主要影响模糊可靠指标的大小,变异系数越大,可靠指标越小;模糊程度系数主要影响模糊可靠指标的模糊程度,模糊程度系数越大,可靠指标的模糊分布范围越宽.

关 键 词:模糊  随机  可靠度分析  响应面法  边坡

Fuzzy response surface method and its application in the reliability analysis of slope stability
TAN Xiaohui,HU Xiaojun,CHU Chengfu,SHI Xiaoping.Fuzzy response surface method and its application in the reliability analysis of slope stability[J].Journal of University of Science and Technology of China,2011,41(3).
Authors:TAN Xiaohui  HU Xiaojun  CHU Chengfu  SHI Xiaoping
Affiliation:TAN Xiaohui1,HU Xiaojun2,CHU Chengfu1,SHI Xiaoping1(1.School of Resources and Environmental Engineering,Hefei University of Technology,Hefei 230009,China,2.Department of Civil Engineering,Hefei University,Hefei 230022,China)
Abstract:Based on the theory of fuzzy random variable,fuzzy response surface method(FRSM) was proposed.FRSM combines the fuzzy cut method with stochastic response surface method,so it can consider fuzziness and randomness simultaneously,and it can be considered as an extension of stochastic response surface method.One merit of FRSM is that it can give the explicit expression of an implicit limit state function,which is very useful to demonstrate the essence of FRSM based on the theory of fuzzy random variable.It is ...
Keywords:fuzziness  randomness  reliability analysis  response surface method  slope  
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