LAPSE:2023.21721v1
Published Article
LAPSE:2023.21721v1
A Linear Regression Thermal Displacement Lathe Spindle Model
March 22, 2023
Abstract
Thermal error is one of the main reasons for the loss of accuracy in lathe machining. In this study, a thermal deformation compensation model is presented that can reduce the influence of spindle thermal error on machining accuracy. The method used involves the collection of temperature data from the front and rear spindle bearings by means of embedded sensors in the bearing housings. Room temperature data were also collected as well as the thermal elongation of the main shaft. The data were used in a linear regression model to establish a robust model with strong predictive capability. Three methods were used: (1) Comsol was used for finite element analysis and the results were compared with actual measured temperatures. (2) This method involved the adjustment of the parameters of the linear regression model using the indicators of the coefficient of determination, root mean square error, mean square error, and mean absolute error, to find the best parameters for a spindle thermal displacement model. (3) The third method used system recognition to determine similarity to actual data by dividing the model into rise time and stable time. The rise time was controlled to explore the accuracy of prediction of the model at different intervals. The experimental results show that the actual measured temperatures were very close to those obtained in the Comsol analysis. The traditional model calculates prediction error values within single intervals, and so the model was divided to give rise time and stable time. The experimental results showed two error intervals, 19µm in the rise time and 15µm in the stable time, and these findings allowed the machining accuracy to be enhanced.
Keywords
finite element analysis, linear regression, spindle thermal elongation, thermal displacement, thermal error
Suggested Citation
Lin CJ, Su XY, Hu CH, Jian BL, Wu LW, Yau HT. A Linear Regression Thermal Displacement Lathe Spindle Model. (2023). LAPSE:2023.21721v1
Author Affiliations
Lin CJ: Graduate Institute of automation Technology, National Taipei University of Technology, Taipei 10608, Taiwan [ORCID]
Su XY: Graduate Institute of automation Technology, National Taipei University of Technology, Taipei 10608, Taiwan [ORCID]
Hu CH: Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41170, Taiwan [ORCID]
Jian BL: Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41170, Taiwan [ORCID]
Wu LW: Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41170, Taiwan
Yau HT: Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41170, Taiwan [ORCID]
Journal Name
Energies
Volume
13
Issue
4
Article Number
E949
Year
2020
Publication Date
2020-02-20
ISSN
1996-1073
Version Comments
Original Submission
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PII: en13040949, Publication Type: Journal Article
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LAPSE:2023.21721v1
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https://doi.org/10.3390/en13040949
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Mar 22, 2023
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