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《Journal of Zhejiang University(Engineering Science)》 2007-01
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Stochastic finite element analysis for fuzzy probability of embankment system failure by first-order approximation theorem

WANG Ya-jun,ZHANG Wo-hua,JIN Wei-liang(Institute of Geotechnical Engineering,Zhejiang University,Hangzhou,310027,Chian)  
In order to solve the complex uncertainties caused by interface between fuzziness and randomness of safety problem for projects of dyke engineering more scientifically and reasonably,this work presents the fuzzy logic modelling of stochastic finite element method(SFEM) based on the harmonious finite element(HFE) technique using first-order approximation theorem.Fuzzy mathematical models of safety repertories was taken into account by stochastic finite element method to analyze the embankment slope stability in order to express the fuzzy failure procedure for the random safety performance function.Fuzzy models were established from membership functions of the half depressed Gamma distribution,the half depressed normal distribution and the half depressed echelon distribution.The local failure mechanism of the main dike section near Jingnan in the Yangtze River was studied comprehensively by the fuzzy-stochastic mathematical algorithm in terms of numerical analysis for the probability integration of the reliability on the random filed affected by three fuzzy factors respectively.The result showed that the dike middle region is the principal concentrated failure zone due to local fractures also the existence of some local shear failure on the dikc crust.This study provides a better method for solving the complex multi-uncertainty problems in engineering safety analysis.
【Fund】: 国家自然科学基金资助项目(50379046);; 教育部博士点基金资助项目(A50221)
【CateGory Index】: TV871;TV223
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