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The modeling method on thermal expansion of CNC lathe headstock in vertical direction based on MOGA

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Abstract

Thermal errors often occur in spindle system due to the changing of ambient temperature and/or inner or outer heat sources of machine tools (MTs), which is the major factor restricting the machine accuracy. Therefore, constructing compensation models with high accuracy and high robustness turn to be a cost-efficient approach for minimizing thermal error and improving machine accuracy. There are two categories of modeling methods for thermal errors so far, namely, physical-based method and empirical-based method. Each modeling method has its own merits and drawbacks. In this paper, a multi-objective genetic algorithm (MOGA) was used to combine the approximative physical model based on thermal expansion mechanism in vertical direction of numerical control (NC) lathe headstock with the accurate empirical model based on experimental data obtained from thermal performance test of spindle system. Consequently, a prediction model of thermal error in vertical direction of headstock with high accuracy and high robustness was obtained. The new model synthesized the advantages of the two types of modeling methods and showed relatively high accuracy and robustness. According to the results of a series of verification experiments on thermal performance of the spindle system under various ambient temperatures and different working conditions, the precision of prediction model has maintained above 74%.

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Acknowledgements

The author would like to thank the anonymous referees and editors for their valuable comments and suggestions.

Funding

This project is supported by the National Natural Science Foundation of China (Grant No. 51775422).

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Authors and Affiliations

  1. School of Mechanical Engineering, Xi’an Jiaotong University, No.28, Xianning West Road, Xi’an, 710049, People’s Republic of China

    Ruisheng Hou, Hongyang Du, Zongzhuo Yan, Wenbin Yu, Tao Tao & Xuesong Mei

  2. College of Mechanical and Equipment, Hebei University of Engineering, Guangming South Street 199, Handan, 056038, People’s Republic of China

    Ruisheng Hou

  3. State Key Laboratory for Manufacturing System Engineering, No.28, Xianning West Road, Xi’an, 710049, People’s Republic of China

    Ruisheng Hou, Hongyang Du, Zongzhuo Yan, Wenbin Yu, Tao Tao & Xuesong Mei

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  1. Ruisheng Hou
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  2. Hongyang Du
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Correspondence to Tao Tao.

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Hou, R., Du, H., Yan, Z. et al. The modeling method on thermal expansion of CNC lathe headstock in vertical direction based on MOGA. Int J Adv Manuf Technol 103, 3629–3641 (2019). https://doi.org/10.1007/s00170-019-03728-9

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