Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools

In the thermal-error compensation of CNC machine tools, temperature-sensitive points (TSPs) are used for predicting thermal error and need to have a high correlation with the thermal error. The stability of the correlation between TSPs and the thermal error is the key to long-term prediction accurac...

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Main Authors: Hui Liu, Enming Miao, Liyin Zhang, Dafeng Tang, Yinlong Hou
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/10/2/132
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author Hui Liu
Enming Miao
Liyin Zhang
Dafeng Tang
Yinlong Hou
author_facet Hui Liu
Enming Miao
Liyin Zhang
Dafeng Tang
Yinlong Hou
author_sort Hui Liu
collection DOAJ
description In the thermal-error compensation of CNC machine tools, temperature-sensitive points (TSPs) are used for predicting thermal error and need to have a high correlation with the thermal error. The stability of the correlation between TSPs and the thermal error is the key to long-term prediction accuracy. In this paper, the uncertainty-calculation method of the correlation coefficient is proposed to measure the stability of the correlation, and the reasons that affect the stability of the correlation of TSPs are analyzed. Then, the uncertainty-correlation coefficient is proposed, which can comprehensively evaluate the correlation and the stability of the correlation between TSPs and the thermal error. Through long-term experimental verifications, compared with the current TSP selection algorithm, the uncertainty-correlation coefficient can help to select a more stable TSP and improve the long-term prediction accuracy of the thermal error.
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spelling doaj.art-da2707b4a6504cb7b64fb82419a8e2752023-11-23T20:48:46ZengMDPI AGMachines2075-17022022-02-0110213210.3390/machines10020132Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine ToolsHui Liu0Enming Miao1Liyin Zhang2Dafeng Tang3Yinlong Hou4School of Automation, Xi’an University of Posts & Telecommunications, Chang’an West St. Chang’an District, Xi’an 710121, ChinaCollege of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, ChinaSchool of Automation, Xi’an University of Posts & Telecommunications, Chang’an West St. Chang’an District, Xi’an 710121, ChinaSchool of Automation, Xi’an University of Posts & Telecommunications, Chang’an West St. Chang’an District, Xi’an 710121, ChinaSchool of Automation, Xi’an University of Posts & Telecommunications, Chang’an West St. Chang’an District, Xi’an 710121, ChinaIn the thermal-error compensation of CNC machine tools, temperature-sensitive points (TSPs) are used for predicting thermal error and need to have a high correlation with the thermal error. The stability of the correlation between TSPs and the thermal error is the key to long-term prediction accuracy. In this paper, the uncertainty-calculation method of the correlation coefficient is proposed to measure the stability of the correlation, and the reasons that affect the stability of the correlation of TSPs are analyzed. Then, the uncertainty-correlation coefficient is proposed, which can comprehensively evaluate the correlation and the stability of the correlation between TSPs and the thermal error. Through long-term experimental verifications, compared with the current TSP selection algorithm, the uncertainty-correlation coefficient can help to select a more stable TSP and improve the long-term prediction accuracy of the thermal error.https://www.mdpi.com/2075-1702/10/2/132correlation stabilityuncertaintytemperature-sensitive pointsmachine toolsthermal error
spellingShingle Hui Liu
Enming Miao
Liyin Zhang
Dafeng Tang
Yinlong Hou
Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools
Machines
correlation stability
uncertainty
temperature-sensitive points
machine tools
thermal error
title Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools
title_full Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools
title_fullStr Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools
title_full_unstemmed Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools
title_short Correlation Stability Problem in Selecting Temperature-Sensitive Points of CNC Machine Tools
title_sort correlation stability problem in selecting temperature sensitive points of cnc machine tools
topic correlation stability
uncertainty
temperature-sensitive points
machine tools
thermal error
url https://www.mdpi.com/2075-1702/10/2/132
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AT enmingmiao correlationstabilityprobleminselectingtemperaturesensitivepointsofcncmachinetools
AT liyinzhang correlationstabilityprobleminselectingtemperaturesensitivepointsofcncmachinetools
AT dafengtang correlationstabilityprobleminselectingtemperaturesensitivepointsofcncmachinetools
AT yinlonghou correlationstabilityprobleminselectingtemperaturesensitivepointsofcncmachinetools