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Research Article | Open Access

Dynamic evolution sequence set-assisted machine tool interval analysis

Xindi Wei1,Jin Deng2,( )Shizhong Liang1Yu Ye2
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., Yunnan Provincial Key Laboratory of Mechatronics Application Technology, 309 Hongling Road, Wuhua District, Kunming City, Yunnan, China

These authors contributed equally to this work and are co-first authors

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Abstract

This paper investigates the uncertainty of machine tools and proposes an efficient interval uncertainty analysis framework for machine tools. This problem involves interval analysis and the calculation of machine tool response. The traditional analysis method has drawbacks, including low computational efficiency and the need to collect a large amount of sample information. In this paper, the intelligent optimization algorithm is used to analyze the interval of the machine tool, and the interval analysis results can be obtained by using less sample information, which improves the efficiency of the interval analysis. The dynamic evolution sequence (DES) is used to optimize the search sequence of the artificial bee colony (ABC) algorithm to improve the computational efficiency and accuracy of the optimization algorithm. To address the problem of the high computational cost of the finite element model, the Kriging surrogate model is used to replace complex finite element calculations. To achieve better calculation accuracy, this paper utilizes the DES to optimize the Kriging model, resulting in a significant improvement in the calculation accuracy of the improved Kriging model (DES-Kriging). Combining DES-ABC and DES-Kriging, this paper proposes a new interval uncertainty analysis framework and verifies the accuracy and efficiency of this interval analysis framework by numerical experiments.

CLC number: 65C05, 74P10, 90C29

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AIMS Mathematics
Pages 18801-18823

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Cite this article:
Wei X, Deng J, Liang S, et al. Dynamic evolution sequence set-assisted machine tool interval analysis. AIMS Mathematics, 2025, 10(8): 18801-18823. https://doi.org/10.3934/math.2025840

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Received: 09 April 2025
Revised: 01 July 2025
Accepted: 15 July 2025
Published: 15 August 2025
©2025 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)