Temperature measuring points selection based on the effect of thermal deformation of components

Modeling and compensation are important methods to reduce the impact of thermal error on the accuracy for machine tools. However, the premise for obtaining good results is the appropriate selection of key temperature measuring points (KTMPs). The current selection methods are inconsistent with the s...

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Main Authors: Haiyang Liu, Xianying Feng, Yandong Liu, Ming Yao, Anning Wang
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25002692
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author Haiyang Liu
Xianying Feng
Yandong Liu
Ming Yao
Anning Wang
author_facet Haiyang Liu
Xianying Feng
Yandong Liu
Ming Yao
Anning Wang
author_sort Haiyang Liu
collection DOAJ
description Modeling and compensation are important methods to reduce the impact of thermal error on the accuracy for machine tools. However, the premise for obtaining good results is the appropriate selection of key temperature measuring points (KTMPs). The current selection methods are inconsistent with the selection results of varying operating conditions, resulting in low accuracy and poor generalization of the established models. Therefore, a novel method for selecting KTMPs by the effect of thermal deformations of components (ETDC) is proposed. Firstly, a thermal deformation model of typical components is constructed based on Fourier's law, and the thermal deformation mechanism of components is described. The spatial transmission model is constructed by the transfer mechanism of deformation errors in the mating surfaces and homogeneous coordinate transformation. The transmission model demonstrated that the thermal deformations of all the components continuously accumulate in the motion transfer chain, eventually affecting the thermal errors. Based on this conclusion, the novel method for selecting KTMPs is proposed. Then, a high-precision thermal model is constructed, the contribution of each component to the generation of thermal errors is analyzed. The analysis result guides the selection of the KTMPs. Finally, the method proposed is compared with two traditional methods of KTMPs selection. The results of the comparison show that the selection results of ETDC do not change when the operating conditions and modeling objects change, and the RMSE decreased by 26.48 % and 19.39 %, and the MAE decreased by 22.06 % and 16.01 %. The results demonstrate that the models using ETDC can not only significantly enhance the prediction performance, but also improve the generalization and simplify the experimental and modeling process.
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spelling doaj-art-e4beb830de3448d0b5f97f469329137d2025-08-20T02:27:54ZengElsevierCase Studies in Thermal Engineering2214-157X2025-05-016910600910.1016/j.csite.2025.106009Temperature measuring points selection based on the effect of thermal deformation of componentsHaiyang Liu0Xianying Feng1Yandong Liu2Ming Yao3Anning Wang4School of Mechanical Engineering, Shandong University, Jinan, 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan, 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan, 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan, 250061, China; Corresponding author. School of Mechanical Engineering, Shandong University, Jinan, 250061, China.School of Mechanical Engineering, Shandong University, Jinan, 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan, 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan, 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan, 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan, 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan, 250061, ChinaModeling and compensation are important methods to reduce the impact of thermal error on the accuracy for machine tools. However, the premise for obtaining good results is the appropriate selection of key temperature measuring points (KTMPs). The current selection methods are inconsistent with the selection results of varying operating conditions, resulting in low accuracy and poor generalization of the established models. Therefore, a novel method for selecting KTMPs by the effect of thermal deformations of components (ETDC) is proposed. Firstly, a thermal deformation model of typical components is constructed based on Fourier's law, and the thermal deformation mechanism of components is described. The spatial transmission model is constructed by the transfer mechanism of deformation errors in the mating surfaces and homogeneous coordinate transformation. The transmission model demonstrated that the thermal deformations of all the components continuously accumulate in the motion transfer chain, eventually affecting the thermal errors. Based on this conclusion, the novel method for selecting KTMPs is proposed. Then, a high-precision thermal model is constructed, the contribution of each component to the generation of thermal errors is analyzed. The analysis result guides the selection of the KTMPs. Finally, the method proposed is compared with two traditional methods of KTMPs selection. The results of the comparison show that the selection results of ETDC do not change when the operating conditions and modeling objects change, and the RMSE decreased by 26.48 % and 19.39 %, and the MAE decreased by 22.06 % and 16.01 %. The results demonstrate that the models using ETDC can not only significantly enhance the prediction performance, but also improve the generalization and simplify the experimental and modeling process.http://www.sciencedirect.com/science/article/pii/S2214157X25002692Thermal errorMachine toolThermal deformationTemperature measuring point
spellingShingle Haiyang Liu
Xianying Feng
Yandong Liu
Ming Yao
Anning Wang
Temperature measuring points selection based on the effect of thermal deformation of components
Case Studies in Thermal Engineering
Thermal error
Machine tool
Thermal deformation
Temperature measuring point
title Temperature measuring points selection based on the effect of thermal deformation of components
title_full Temperature measuring points selection based on the effect of thermal deformation of components
title_fullStr Temperature measuring points selection based on the effect of thermal deformation of components
title_full_unstemmed Temperature measuring points selection based on the effect of thermal deformation of components
title_short Temperature measuring points selection based on the effect of thermal deformation of components
title_sort temperature measuring points selection based on the effect of thermal deformation of components
topic Thermal error
Machine tool
Thermal deformation
Temperature measuring point
url http://www.sciencedirect.com/science/article/pii/S2214157X25002692
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AT mingyao temperaturemeasuringpointsselectionbasedontheeffectofthermaldeformationofcomponents
AT anningwang temperaturemeasuringpointsselectionbasedontheeffectofthermaldeformationofcomponents