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A global sensitivity analysis approach for multiple failure modes based on convex-probability hybrid uncertainty

Yidu Zhang (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China)
Yongshou Liu (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China)
Qing Guo (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 11 September 2020

Issue publication date: 15 June 2021

177

Abstract

Purpose

This paper aims to develop a method for evaluating the failure probability and global sensitivity of multiple failure modes based on convex-probability hybrid uncertainty.

Design/methodology/approach

The uncertainty information of the input variable is considered as convex-probability hybrid uncertainty. Moment-independent variable global sensitivity index based on the system failure probability is proposed to quantify the effect of the input variable on the system failure probability. Two-mode sensitivity indices are adopted to characterize the effect of each failure mode on the system failure probability. The method based on active learning Kriging (ALK) model with a truncated candidate regions (TCR) is adopted to evaluate the systems failure probability, as well as sensitivity index and this method is termed as ALK-TCR.

Findings

The results of five examples demonstrate the effectiveness of the sensitivity index and the efficiency of the ALK-TCR method in solving the problem of multiple failure modes based on the convex-probability hybrid uncertainty.

Originality/value

Convex-probability hybrid uncertainty is considered on system reliability analysis. Moment-independent variable sensitivity index based on the system failure probability is proposed. Mode sensitivity indices are extended to hybrid uncertain reliability model. An effective global sensitivity analysis approach is developed for the multiple failure modes based on convex-probability hybrid uncertainty.

Keywords

Acknowledgements

The authors received no financial support for the research, authorship and/or publication of this article.

Conflict of interest: The authors declare that they have no conflict of interest.

Citation

Zhang, Y., Liu, Y. and Guo, Q. (2021), "A global sensitivity analysis approach for multiple failure modes based on convex-probability hybrid uncertainty", Engineering Computations, Vol. 38 No. 3, pp. 1263-1286. https://doi.org/10.1108/EC-03-2020-0168

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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