| DOI: | 10.1007/s11069-020-04323-y
|
| 论文题名: | Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution |
| 作者: | Wei T.; Zuo W.; Zheng H.; Li F.
|
| 刊名: | Natural Hazards
|
| ISSN: | 0921030X
|
| 出版年: | 2021
|
| 卷: | 105, 期:1 | | 起始页码: | 565
|
| 结束页码: | 586
|
| 语种: | 英语
|
| 中文关键词: | 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
|
| 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. |
| Citation statistics: |
|
| 资源类型: | 期刊论文
|
| 标识符: | http://119.78.100.158/handle/2HF3EXSE/169456
|
| Appears in Collections: | 气候变化与战略
|
|
There are no files associated with this item.
|
|
作者单位: | School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130025, China
|
| Recommended Citation: | |
Wei T.,Zuo W.,Zheng H.,et al. Slope hybrid reliability analysis considering the uncertainty of probability-interval using three-parameter Weibull distribution[J]. Natural Hazards,2021-01-01,105(1)
|
|
|