Generalized Reliability Analysis of Weathered Slate Slope Considering Fuzzy Randomness of Parameters
To study the influence of the randomness and fuzziness of geotechnical parameters on the slope stability,this paper presents a case history of a slate slope of an expressway in Hunan Province.The generalized reliability analysis is performed by using the membership function and the Rosenblueth method.The method is compared with the traditional method with a fixed safety factor.The membership function and cut-set numbers influence on reliability are studied.Suggestions for the reasonable analysis are proposed.The results show that the mean value of safety factors at different cut-set levels cannot reflect the fuzzi-ness of geotechnical parameters,while the reliability index has a good correlation with the fuzziness of parameters.With the in-crease of the fuzzy cut-set level,the reliability index increases.For this slope,the failure probability obtained by the fuzzy reli-ability method is 0.889%<5%,which means a stable state and is more consistent with the actual situation compared with the fixed safety factor method.The parameter membership function form and the cut-set number have a great influence on the gen-eralized reliability index of slope.When using fuzzy point estimation method,the trapezoidal or triangular membership distribu-tion should be selected first.The number of cut-set is suggested to be nine.The generalized reliability analysis of the slope con-siders the fuzzy randomness of the shear strength parameters,avoiding the problem of the parameter accuracy of the fixed safe-ty factor method.Therefore,the thinking of slope stability judgment is more scientific.The study results provide a reasonable reference for the analysis of similar slope projects.
SlopeSlateFuzzy Random characteristicsGeneralized ReliabilityMembership FunctionCut-set