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Based-restraining interval extension improved truncation algorithm for response analysis of uncertain mechanical systems

Xueguang Yu (School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai, China)
Xintian Liu (School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai, China)
Xu Wang (School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai, China)
Xiaolan Wang (School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 22 February 2021

Issue publication date: 9 July 2021

161

Abstract

Purpose

This study aims to propose an improved affine interval truncation algorithm to restrain interval extension for interval function.

Design/methodology/approach

To reduce the occurrence times of related variables in interval function, the processing method of interval operation sequence is proposed.

Findings

The interval variable is evenly divided into several subintervals based on correlation analysis of interval variables. The interval function value is modified by the interval truncation method to restrain larger estimation of interval operation results.

Originality/value

Through several uncertain displacement response engineering examples, the effectiveness and applicability of the proposed algorithm are verified by comparing with interval method and optimization algorithm.

Keywords

Acknowledgements

Conflict of interest statement: We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

Citation

Yu, X., Liu, X., Wang, X. and Wang, X. (2021), "Based-restraining interval extension improved truncation algorithm for response analysis of uncertain mechanical systems", Engineering Computations, Vol. 38 No. 6, pp. 2833-2849. https://doi.org/10.1108/EC-08-2020-0440

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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