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An adaptive collocation method for structural fuzzy uncertainty analysis

Lei Wang (Institute of Solid Mechanics, Beihang University, Beijing, China)
Chuang Xiong (System Design Institute, Hubei Aerospace Technology Academy, Wuhan, China)
Qinghe Shi (School of Materials and Engineering, Jiangsu University of Technology, Changzhou, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 30 April 2020

Issue publication date: 28 October 2020

128

Abstract

Purpose

Considering that uncertain factors widely exist in engineering practice, an adaptive collocation method (ACM) is developed for the structural fuzzy uncertainty analysis.

Design/methodology/approach

ACM arranges points in the axis of the membership adaptively. Through the adaptive collocation procedure, ACM can arrange more points in the axis of the membership where the membership function changes sharply and fewer points in the axis of the membership where the membership function changes slowly. At each point arranged in the axis of the membership, the level-cut strategy is used to obtain the cut-level interval of the uncertain variables; besides, the vertex method and the Chebyshev interval uncertainty analysis method are used to conduct the cut-level interval uncertainty analysis.

Findings

The proposed ACM has a high accuracy without too much additional computational efforts.

Originality/value

A novel ACM is developed for the structural fuzzy uncertainty analysis.

Keywords

Acknowledgements

The authors would like to thank the National Nature Science Foundation of China (11432002, 11602012) and the Defense Industrial Technology Development Program (JCKY2016204B101, JCKY2017208B001) for the financial supports.

Citation

Wang, L., Xiong, C. and Shi, Q. (2020), "An adaptive collocation method for structural fuzzy uncertainty analysis", Engineering Computations, Vol. 37 No. 9, pp. 2983-2998. https://doi.org/10.1108/EC-10-2018-0464

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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