Reliability Analysis Of Grillage Flexible Slope Supporting Structure With Anchors Considering Fuzzy Randomness

In this paper,the widely used the grillage flexible slope supporting structures with anchors in the northwest region is taken as the research object.Reliability analysis of grillage flexible slope supporting structures with anchors does not consider fuzzy randomness of slopes;thus,from the two aspects of the interaction between anchor and soil and the actual failure process of slope,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.Finally,for the example of the grillage flexible slope supporting structures with anchors,comparing the calculation result of this paper and the reliability calculated by Monte Carlo simulation.The main research results and conclusions of this paper are as follows:(1)This paper describes the fuzzy uncertainty and random uncertainty in the slope;the change process of the damage of slope is analyzed in detail,and it is considered that the boundary of slope failure process has the characteristics of fuzzy uncertainty;At the same time,the type of grillage flexible slope supporting structures with anchors is taken as the research object,and the interaction between anchor and soil,the failure mode of anchor and the calculation method of stability of grillage flexible slope supporting structures with anchors are analyzed.(2)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.The specific calculation method is as follows: 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.(3)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 1.95%.The results show that the reliability calculation method in this paper is reliable.