Abstract
Reliability analysis of grillage flexible slope supporting structures with anchors does not consider fuzzy randomness of slopes; thus, this paper proposes a method for the reliability analysis of grillage flexible slope supporting structures with anchors by considering both the fuzzy randomness of soil parameters and the fuzzy transitional interval. This paper converts random variables of soil parameters into fuzzy random variables with the fuzzy random processing method of sample mechanics parameters and establishes a fuzzy random limit state equation based on the fuzzy transitional interval of the slope. The upper and lower boundaries of classical sets of different cut sets are obtained by transforming a fuzzy set into a classical set with the decomposition theorem of fuzzy sets. At the same time, the slope slip surface is determined using the Morgenstern–Price method. Applying the reliability calculation formula of grillage flexible slope supporting structures with anchors deduced from this paper, the fuzzy random reliability of reinforced slope is obtained by weighting. Finally, comparing the calculation result of this paper and the reliability calculated by Monte Carlo simulation, it can be concluded that when the failure probability calculated by the Monte Carlo simulation is zero, the failure probability of the slope considering the fuzzy randomness of the slope is 6.4538%. The results show that the reliability analysis of the reinforced slope considering the ambiguity of the slope can better reflect the actual state of the slope.
Published Version
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