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Research Article | Open Access

Multi-body dynamic evolution sequence-assisted PSO for interval analysis

Xuanlong Wu1Peng Zhong1Weihao Lin1Jin Deng2( )
State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, School of Mechanics and Aerospace Engineering, Dalian University of Technology, Dalian 116024, China
Yunnan Branch of China Academy of Machinery Co., Ltd
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Abstract

To enhance the efficiency and accuracy of response analysis in practical multivariable complex engineering problems, we introduced a new interval analysis method—multi-body dynamic evolution sequence-assisted particle swarm optimization (DES-PSO) is introduced in this research. This method optimizes the heterogeneous comprehensive learning particle swarm optimization algorithm (HCLPSO) by incorporating a dynamic evolution sequence (DES), addressing the difficulty of HCLPSO in covering the search space, which makes this method suitable for solving multivariable interval analysis problems. The results of two numerical examples prove that both DES-PSO and HCLPSO can give the accurate upper and lower bounds of the response interval. Compared with HCLPSO, DES-PSO improves the computing speed by about 50%.

CLC number: 68M15, 68T37

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AIMS Mathematics
Pages 31198-31216

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Cite this article:
Wu X, Zhong P, Lin W, et al. Multi-body dynamic evolution sequence-assisted PSO for interval analysis. AIMS Mathematics, 2024, 9(11): 31198-31216. https://doi.org/10.3934/math.20241504

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Received: 03 September 2024
Revised: 16 October 2024
Accepted: 18 October 2024
Published: 01 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)