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《Journal of Central South University(Science and Technology)》 2010-04
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Analysis of fuzzy reliability for gravity retaining wall structure

XIAO Zun-qun1,LIU Bao-chen1,QIAO Shi-fan1,YANG Xiao-li1,LIU Yu-fei1,YANG Xian2,HE Li-biao1,LI Xiao-lin3(1.School of Civil and Architectural Engineering,Central South University,Changsha 410075,China;2.School of Geoscience and Environmental Engineering,Central South University,Changsha 410083,China;3.China Railway Engineering Consultants Groups,Beijing 100055,China)  
Considering the fuzzy uncertainties of the parameters of stochastic variables,FOSM(First order second moment) was utilized and fuzzy random dependability analyzing model was set up.By using decomposing theorem and introducing λ cut set,fuzzy numbers were convened into a series of interval numbers and fuzzy random reliability computing technology was received.The major unstable modes of gravity retaining walls are overturning and sliding.Two performance functions against overturning and sliding of gravity retaining walls were established and the fuzzy random variables were confirmed for the two kinds of invalid modes.Two kinds of failure modes are calculated separately by using fuzzy random reliability computing technology,and two fuzzy random reliability indexes and corresponding failure probabilities are received.Comparing with computing technology proposed in relevant literature,the result of calculation shows that the difference of calculation result is obvious.The reason for producing the difference is that other methods supposes performance functions Z of the gravity retaining wall into normal distribution,there exists error to obtain the probability density function f(Z) in this treatment.Fuzzy random reliability value calculated by λ cut set way is in accordance with the actual results further.
【Fund】: 国家自然科学基金资助项目(50708116);; 中南大学优秀博士学位论文扶植项目(2009ybfz18);; 湖南省研究生科研创新项目(CX2009B045)
【CateGory Index】: TU476.4
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