The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning

Thermal error is one of the main sources of machining error of machine tools. Being a key component of the machine tool, the spindle will generate a lot of heat in the machining process and thereby result in a thermal error of itself. Real-time measurement of thermal error will interrupt the machini...

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Main Authors: Yu-Cheng Chiu, Po-Hsun Wang, Yuh-Chung Hu
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/9/9/184
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author Yu-Cheng Chiu
Po-Hsun Wang
Yuh-Chung Hu
author_facet Yu-Cheng Chiu
Po-Hsun Wang
Yuh-Chung Hu
author_sort Yu-Cheng Chiu
collection DOAJ
description Thermal error is one of the main sources of machining error of machine tools. Being a key component of the machine tool, the spindle will generate a lot of heat in the machining process and thereby result in a thermal error of itself. Real-time measurement of thermal error will interrupt the machining process. Therefore, this paper presents a machine learning model to estimate the thermal error of the spindle from its feature temperature points. The authors adopt random forests and Gaussian process regression to model the thermal error of the spindle and Pearson correlation coefficients to select the feature temperature points. The result shows that random forests collocating with Pearson correlation coefficients is an efficient and accurate method for the thermal error modeling of the spindle. Its accuracy reaches to 90.49% based on only four feature temperature points—two points at the bearings and two points at the inner housing—and the spindle speed. If the accuracy requirement is not very onerous, one can select just the temperature points of the bearings, because the installation of temperature sensors at these positions is acceptable for the spindle or machine tool manufacture, while the other positions may interfere with the cooling pipeline of the spindle.
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spelling doaj.art-5a159d861828484694e650750227e0072023-11-22T13:57:35ZengMDPI AGMachines2075-17022021-08-019918410.3390/machines9090184The Thermal Error Estimation of the Machine Tool Spindle Based on Machine LearningYu-Cheng Chiu0Po-Hsun Wang1Yuh-Chung Hu2Department of Mechanical and Electromechanical Engineering, National ILan University, Yilan 26041, TaiwanDepartment of Mechanical and Electromechanical Engineering, National ILan University, Yilan 26041, TaiwanDepartment of Mechanical and Electromechanical Engineering, National ILan University, Yilan 26041, TaiwanThermal error is one of the main sources of machining error of machine tools. Being a key component of the machine tool, the spindle will generate a lot of heat in the machining process and thereby result in a thermal error of itself. Real-time measurement of thermal error will interrupt the machining process. Therefore, this paper presents a machine learning model to estimate the thermal error of the spindle from its feature temperature points. The authors adopt random forests and Gaussian process regression to model the thermal error of the spindle and Pearson correlation coefficients to select the feature temperature points. The result shows that random forests collocating with Pearson correlation coefficients is an efficient and accurate method for the thermal error modeling of the spindle. Its accuracy reaches to 90.49% based on only four feature temperature points—two points at the bearings and two points at the inner housing—and the spindle speed. If the accuracy requirement is not very onerous, one can select just the temperature points of the bearings, because the installation of temperature sensors at these positions is acceptable for the spindle or machine tool manufacture, while the other positions may interfere with the cooling pipeline of the spindle.https://www.mdpi.com/2075-1702/9/9/184Gaussian process regressionmachine learningmachine tool spindlePearson correlation coefficientrandom forestthermal error
spellingShingle Yu-Cheng Chiu
Po-Hsun Wang
Yuh-Chung Hu
The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning
Machines
Gaussian process regression
machine learning
machine tool spindle
Pearson correlation coefficient
random forest
thermal error
title The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning
title_full The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning
title_fullStr The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning
title_full_unstemmed The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning
title_short The Thermal Error Estimation of the Machine Tool Spindle Based on Machine Learning
title_sort thermal error estimation of the machine tool spindle based on machine learning
topic Gaussian process regression
machine learning
machine tool spindle
Pearson correlation coefficient
random forest
thermal error
url https://www.mdpi.com/2075-1702/9/9/184
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