Evidence theory has a strong ability to deal with the epistemic uncertainty, based on which the uncertain parameters existing in many complex engineering problems with limited information can be conveniently treated. However, the heavy computational cost caused by its discrete property severely influences the practicability of evidence theory, which has become a main difficulty in structural reliability analysis using evidence theory. This paper aims to develop an efficient method to evaluate the reliability for structures with evidence variables, and hence improves the applicability of evidence theory for engineering problems. A non-probabilistic reliability index approach is introduced to obtain a design point on the limit-state surface. An assistant area is then constructed through the obtained design point, based on which a small number of focal elements can be picked out for extreme analysis instead of using all the elements. The vertex method is used for extreme analysis to obtain the minimum and maximum values of the limit-state function over a focal element. A reliability interval composed of the belief measure and the plausibility measure is finally obtained for the structure. Two numerical examples are investigated to demonstrate the effectiveness of the proposed method.
Skip Nav Destination
ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 17–20, 2014
Buffalo, New York, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4632-2
PROCEEDINGS PAPER
An Efficient Reliability Analysis Method for Structures With Epistemic Uncertainty Using Evidence Theory
Zhe Zhang,
Zhe Zhang
Hunan University, Changsha, Hunan, China
Search for other works by this author on:
Chao Jiang,
Chao Jiang
Hunan University, Changsha, Hunan, China
Search for other works by this author on:
G. Gary Wang,
G. Gary Wang
Simon Fraser University, Surrey, BC, Canada
Search for other works by this author on:
Xu Han
Xu Han
Hunan University, Changsha, Hunan, China
Search for other works by this author on:
Zhe Zhang
Hunan University, Changsha, Hunan, China
Chao Jiang
Hunan University, Changsha, Hunan, China
G. Gary Wang
Simon Fraser University, Surrey, BC, Canada
Xu Han
Hunan University, Changsha, Hunan, China
Paper No:
DETC2014-35623, V02BT03A055; 11 pages
Published Online:
January 13, 2015
Citation
Zhang, Z, Jiang, C, Wang, GG, & Han, X. "An Efficient Reliability Analysis Method for Structures With Epistemic Uncertainty Using Evidence Theory." Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2B: 40th Design Automation Conference. Buffalo, New York, USA. August 17–20, 2014. V02BT03A055. ASME. https://doi.org/10.1115/DETC2014-35623
Download citation file:
10
Views
0
Citations
Related Proceedings Papers
Related Articles
Stochastic Fatigue Crack Growth Analysis for Space System Reliability
ASME J. Risk Uncertainty Part B (June,2018)
Collision-Avoidance Reliability Analysis of Automated Vehicle Based on Adaptive Surrogate Modeling
ASME J. Risk Uncertainty Part B (June,2019)
Some Important Issues on First-Order Reliability Analysis With Nonprobabilistic Convex Models
J. Mech. Des (March,2014)
Related Chapters
Reliability Analysis and Evaluation of Gas Supply System
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)
A Smart Sampling Strategy for One-at-a-Time Sensitivity Experiments (PSAM-0360)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
Certified Reference Material for Nuclear Forensics
Non-Proliferation Nuclear Forensics: Canadian Perspective