气候变化领域集成服务门户(CCPortal): Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution

CCPortal

DOI	10.1007/s11069-020-04323-y
	Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution
	Wei T.; Zuo W.; Zheng H.; Li F.
发表日期	2021
ISSN	0921030X
起始页码	565
结束页码	586
卷号	105 期号:1
英文摘要	A reliability model is proposed to solve the problem of hybrid uncertainty with both random and interval variables in slope engineering. A hybrid uncertainty model based on the dimension reduction method and Taylor expansion is constructed to approximate the limit state function. Using the polynomial theorem and variable transformation method, the origin and center moments’ interval of the limit state function are calculated. Moment information is applied to the expansion of a three-parameter Weibull distribution, and the cumulative distribution function and probability density function of limit state function are determined. As a result, the failure probability interval of the slope is calculated. The interval uncertainty problem is transformed into an interval certainty problem using Taylor expansion without solving for the statistical moment of limit state function using multiple integrals and iteratively searching for the most probable failure points. The numerical results from two slopes show that the proposed method is effective and feasible. © 2020, Springer Nature B.V.
关键词	Dimension reduction method Hybrid reliability analysis of slope Probability of failure Strength reduction method Three-parameter Weibull distribution
英文关键词	limit analysis; numerical model; probability density function; reliability analysis; slope failure; slope stability; uncertainty analysis; Weibull theory
语种	英语
来源期刊	Natural Hazards
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/206657
作者单位	School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China
推荐引用方式 GB/T 7714	Wei T.,Zuo W.,Zheng H.,et al. Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution[J],2021,105(1).
APA	Wei T.,Zuo W.,Zheng H.,&Li F..(2021).Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution.Natural Hazards,105(1).
MLA	Wei T.,et al."Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution".Natural Hazards 105.1(2021).