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Thermal error prediction of ball screw feed system based on inverse heat transfer analysis

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Abstract

The thermal error of the ball screw feed system will reduce the positioning accuracy of the machine tool, and the main reason for the thermal error is the friction heat generated by bearings and screw nut in the feed system. Therefore, a time-varying thermal error prediction method of the ball screw feed system based on the inverse method is proposed in this paper. Based on data-driven and dynamic thermal network model, the heat source estimation method of ball screw feed system under unsteady thermal effect is established, and the thermodynamic equilibrium equation is deduced into explicit form for heat source load identification. Aiming at the common matrix ill-conditioned problem of load identification, the regularization algorithm is used to identify the heat source load, and the optimal selection method of regularization parameters is proposed based on Monte Carlo algorithm. Using the collected temperature experiment data and the position data of the moving nut, the dynamic heat source load, temperature field, and thermal error of the feed system under the actual working condition are predicted and analyzed by using the inverse method. Finally, the accuracy and effectiveness of the prediction method are verified by experiment. The inverse method proposed in this paper has great application potential for the prediction and estimation of heat source and temperature field of machine tools and various mechanical structures.

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Funding

This work was supported by the following research projects: National Natural Science Foundation of China under Grants 51775094, 51975386; The Basic Research Project of Education Department of Liaoning Province (Grant No. JJL202015401).

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Authors and Affiliations

  1. School of Mechanical Engineering, Shenyang University of Technology, Shenyang, 110870, China

    Zhen-jun Li & Ze-chen Lu

  2. Shenyang Machine Tool(Group) Co., Ltd., 110025, Shenyang, China

    Zhi Tan

  3. Institute of Vibration Engineering, Liaoning University of Technology, Jinzhou, 121001, China

    Ye Chen

  4. Midea Building Technologies Division, Foshan, 528311, China

    Yu-chuan Fan

Authors
  1. Zhen-jun Li
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  2. Zhi Tan
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  3. Ye Chen
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  4. Ze-chen Lu
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  5. Yu-chuan Fan
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Contributions

Zhen-jun Li: conceptualization, methodology, software, writing original draft preparation (lead). Zhi Tan: supervision. Ze-chen Lu: data curation. Ye Chen: validation. Yu-chuan Fan: data curation, supervision.

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Correspondence to Zhen-jun Li.

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Li, Zj., Tan, Z., Chen, Y. et al. Thermal error prediction of ball screw feed system based on inverse heat transfer analysis. Int J Adv Manuf Technol 122, 2607–2624 (2022). https://doi.org/10.1007/s00170-022-10076-8

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  • DOI: https://doi.org/10.1007/s00170-022-10076-8

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