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Arabian Journal for Science and Engineering
Published in: Arabian Journal for Science and Engineering 10/2019

16-05-2019 | Research Article-Civil Engineering

Reliability Analysis of Grillage Flexible Slope Supporting Structure with Anchors Considering Fuzzy Transitional Interval and Fuzzy Randomness of Soil Parameters

Authors: ShuaiHua Ye, GuangWen Fang, XiaoRui Ma

Published in: Arabian Journal for Science and Engineering | Issue 10/2019

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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.
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Appendix
Available only for authorised users
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Metadata
Title
Reliability Analysis of Grillage Flexible Slope Supporting Structure with Anchors Considering Fuzzy Transitional Interval and Fuzzy Randomness of Soil Parameters
Authors
ShuaiHua Ye
GuangWen Fang
XiaoRui Ma
Publication date
16-05-2019
Publisher
Springer Berlin Heidelberg
Published in
Arabian Journal for Science and Engineering / Issue 10/2019
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI
https://doi.org/10.1007/s13369-019-03912-9

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