A novel directional simulation method for estimating failure possibility

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  • Northwestern Polytechnical University
  • National Key Laboratory of Aircraft Configuration Design
  • University of Liverpool
  • Tsinghua University
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Original languageEnglish
Article number109627
JournalAerospace science and technology
Volume155
Early online date30 Sept 2024
Publication statusPublished - Dec 2024

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

ASJC Scopus subject areas

Cite this

A novel directional simulation method for estimating failure possibility. / Jiang, Xia; Lu, Zhenzhou; Beer, Michael.
In: Aerospace science and technology, Vol. 155, 109627, 12.2024.

Research output: Contribution to journalArticleResearchpeer review

Jiang X, Lu Z, Beer M. A novel directional simulation method for estimating failure possibility. Aerospace science and technology. 2024 Dec;155:109627. Epub 2024 Sept 30. doi: 10.1016/j.ast.2024.109627
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