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Modeling and prediction of full-term thermal error in linear axis of machine tools based on MSTGCN-A

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Abstract

According to ISO 230-3, the linear axis includes six thermal error motions. Measuring and modeling multi-position full-term thermal errors in linear axis are challenging and essential since they are position-dependent and time-varying. This study presents for the first time a method for modeling and predicting the full-term thermal error of linear axis with multi-positions. Firstly, the full-term thermal error of the linear axis was measured in real-time. The nonlinearity and time delay of the thermal deformation of the screw are analyzed based on the heat transfer theory. Then, a multidimensional spatio-temporal graph convolution-attention mechanism (MSTGCN-A) model is proposed to model the full-term thermal error at multi-positions on the linear axis. The model adaptively learns the adjacency relationship of nodes and fuses the spatial information of temperature points without screening temperature-sensitive points. GRU-CNN, MTCN-A, and BiLSTM-CNN are also used as comparative models to verify the accuracy of the models. Under varying operating conditions, the proposed model outperforms the comparative model that requires temperature-sensitive point selection.

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Acknowledgements

The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (Nos. 52075337) and Ministry of Industry and Information Technology high quality development special project, China (No. TC230H0AG-32).

Funding

This work was supported by the National Natural Science Foundation of China (52075337), Ministry of Industry and Information Technology high quality development special project, China (TC230H0AG-32) and Shanghai Rising-Star Program (21QB1405300).

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Zhiyang Zhao, Nuodi Huang, Yijun Shen & Limin Zhu

  2. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200444, China

    Guangjie Jia & Xu Zhang

Authors
  1. Zhiyang Zhao
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  2. Nuodi Huang
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  3. Yijun Shen
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  4. Guangjie Jia
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  5. Xu Zhang
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  6. Limin Zhu
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Contributions

ZZ: conceptualization, methodology, data collection, and writing—original draft preparation. NH: conceptualization, methodology, investigation, and writing—review and editing. YS: conceptualization and writing—review and editing. GJ: data collection and data analysis. XZ: investigation and resources. LZ: investigation and resources.

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Correspondence to Nuodi Huang.

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Zhao, Z., Huang, N., Shen, Y. et al. Modeling and prediction of full-term thermal error in linear axis of machine tools based on MSTGCN-A. Int J Adv Manuf Technol 130, 4805–4819 (2024). https://doi.org/10.1007/s00170-024-13021-z

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  • DOI: https://doi.org/10.1007/s00170-024-13021-z

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