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The influence of thermophysical parameters on the prediction accuracy of the spindle thermal error model

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Abstract

The model based on the velocity and acceleration of temperature variation (MBOTV) was established for spindle thermal growth error. However, the thermophysical parameters of MBOTV, such as the thermal expansion coefficient related to the velocity of temperature variation, Hv, the thermal expansion coefficient related to the acceleration of temperature variation, Ha, and the thermal inertia coefficient of the spindle, τ, may change during actual working. In order to analyze the influence of thermophysical parameters on the prediction accuracy of MBOTV, it is necessary to calculate the reliability of MBOTV. Actually, it is difficult to obtain the function of MBOTV. Although the improved response surface method can be used to calculate the reliability of the model with implicit function, the accuracy is not enough obviously when the implicit function is replaced by linear polynomials. Therefore, an improved response surface method based on quadratic polynomial approximation was proposed in this paper to calculate the reliability of MBOTV. In this method, the linear polynomial was replaced by a quadratic polynomial without cross product terms to replace the implicit function, which can improve the accuracy of reliability calculation. The predicted residual errors of MBOTV with single-parameter fluctuation and multi-parameter fluctuation were given in this paper. Studies reveal that MBOTV has strong robustness when the thermophysical parameters change.

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Acknowledgements

The authors thank the anonymous referees and editor for their valuable comments and suggestions.

Availability of data and material

All data generated or analyzed during this study are included in this published article.

Funding

This research was supported by the National Natural Science Foundation of China (51775085, U1608251), Liaoning Revitalization Talents Program (XLYC1807081), Liaoning Science and Technology Major Project (2020JH1/10100016), Youth Science and Technology Star of Dalian (2018RQ14), Top and Leading Talents of Dalian (2018RD05), Open project of State Key Lab of Digital Manufacturing Equipment & Technology (DMETKF2019014), National Key R&D Program of China (2019YFB2005400), and Changjiang Scholar Program of the Chinese Ministry of Education (T2017030).

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Authors and Affiliations

  1. Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, 116024, China

    Kuo Liu, Lei Song, Haibo Liu, Wei Han, Mingjia Sun & Yongqing Wang

  2. State Key Lab of Digital Manufacturing Equipment & Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Kuo Liu

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  1. Kuo Liu
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  2. Lei Song
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  3. Haibo Liu
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  4. Wei Han
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Contributions

Kuo Liu and Haibo Liu contributed the central idea and analyzed most of the data. Yongqing Wang contributed to refining the ideas. Lei Song performed the research and wrote the initial draft of the paper. Wei Han and Mingjia Sun carrying out additional analyses and finalizing this paper.

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Correspondence to Haibo Liu.

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Liu, K., Song, L., Liu, H. et al. The influence of thermophysical parameters on the prediction accuracy of the spindle thermal error model. Int J Adv Manuf Technol 115, 617–626 (2021). https://doi.org/10.1007/s00170-021-07256-3

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