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Optimal design method for geometric errors of horizontal machining center based on Sobol method and IPSO

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Abstract

Geometric error is one of the important factors for evaluating the performance of a machine tool, which should be seriously regulated through appropriate accuracy design. This paper proposes a rapid precision design method for horizontal machining center based on Sobol sensitivity analysis method and improved particle swarm optimization (IPSO). Firstly, the geometric error models are established using multi-body system theory and homogenous transformation matrix method. Subsequently, the Sobol method is taken to analyze the sensitivity of geometric errors and their coupling effects, and the sensitivity coefficients are substituted into the objective function of cost-tolerance model. Finally, a multi-objective optimization approach with nonlinear constraints is proposed by comprehensively considering the trade-off between cost and accuracy. An improved particle swarm optimization is applied for the optimization, which can effectively and rapidly obtain the optimal allocation of geometric errors by varying parameters in each iteration and judging the constrains after iteration process. This method provides valuable guidance for accuracy design of machine tools in the manufacturing industry.

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Authors and Affiliations

  1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Xiang Li, Juntang Yuan & Zhenhua Wang

Authors
  1. Xiang Li
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  2. Juntang Yuan
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  3. Zhenhua Wang
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Xiang Li, Juntang Yuan, and Zhenhua Wang. The first draft of the manuscript was written by Xiang Li, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Juntang Yuan.

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Li, X., Yuan, J. & Wang, Z. Optimal design method for geometric errors of horizontal machining center based on Sobol method and IPSO. Int J Adv Manuf Technol 131, 6091–6102 (2024). https://doi.org/10.1007/s00170-024-13097-7

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  • DOI: https://doi.org/10.1007/s00170-024-13097-7

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