A novel directional simulation method for estimating failure possibility

authored by: Xia Jiang, Zhenzhou Lu, Michael Beer
Abstract: Failure possibility plays a crucial role in assessing the safety level of structures under fuzzy uncertainty. However, the traditional fuzzy simulation method suffers from computational inefficiency as it requires a large number of samples for accurate estimation. To address this issue, a directional simulation method is proposed to improve the efficiency of estimating failure possibility. The directional simulation method reformulates the failure possibility estimation into two key steps: the generation of direction samples and the estimation of conditional failure possibility under each direction sample in the polar coordinate system of the standard fuzzy space. To ensure direction uniformity, these direction samples are generated by adopting a good lattice point set based on stratified sampling on the unit hypercube. The conditional failure possibility under each direction sample is estimated by solving the minimum root of a nonlinear equation. The proposed method effectively reduces the dimensionality of the fuzzy input and greatly improves the computational efficiency. To further enhance efficiency, an adaptive Kriging model is embedded into the directional simulation method to reduce the number of performance function evaluations. Four examples are performed to illustrate the accuracy and efficiency of the proposed method. The results highlight the superiority of the directional simulation method over the traditional fuzzy simulation method, offering substantial improvements in computational efficiency while maintaining high estimation accuracy.
Organisation(s): Institute for Risk and Reliability
External Organisation(s): Northwestern Polytechnical University
National Key Laboratory of Aircraft Configuration Design
University of Liverpool
Tsinghua University
Type: Article
Journal: Aerospace science and technology
Volume: 155
ISSN: 1270-9638
Publication date: 12.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Aerospace Engineering
Electronic version(s): https://doi.org/10.1016/j.ast.2024.109627 (Access: Closed)

BibTeX

@article{de54ee467bad4e76b3b48439860907dc,
title = "A novel directional simulation method for estimating failure possibility",
abstract = "Failure possibility plays a crucial role in assessing the safety level of structures under fuzzy uncertainty. However, the traditional fuzzy simulation method suffers from computational inefficiency as it requires a large number of samples for accurate estimation. To address this issue, a directional simulation method is proposed to improve the efficiency of estimating failure possibility. The directional simulation method reformulates the failure possibility estimation into two key steps: the generation of direction samples and the estimation of conditional failure possibility under each direction sample in the polar coordinate system of the standard fuzzy space. To ensure direction uniformity, these direction samples are generated by adopting a good lattice point set based on stratified sampling on the unit hypercube. The conditional failure possibility under each direction sample is estimated by solving the minimum root of a nonlinear equation. The proposed method effectively reduces the dimensionality of the fuzzy input and greatly improves the computational efficiency. To further enhance efficiency, an adaptive Kriging model is embedded into the directional simulation method to reduce the number of performance function evaluations. Four examples are performed to illustrate the accuracy and efficiency of the proposed method. The results highlight the superiority of the directional simulation method over the traditional fuzzy simulation method, offering substantial improvements in computational efficiency while maintaining high estimation accuracy.",
keywords = "Adaptive Kriging model, Directional simulation method, Failure possibility, Fuzzy uncertainty",
author = "Xia Jiang and Zhenzhou Lu and Michael Beer",
note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Masson SAS",
year = "2024",
month = dec,
doi = "10.1016/j.ast.2024.109627",
language = "English",
volume = "155",
journal = "Aerospace science and technology",
issn = "1270-9638",
publisher = "Office National d'Etudes et de Recherches Aerospatiales",
}