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Journal of Tsinghua University(Science and Technology)    2021, Vol. 61 Issue (1) : 28-35     DOI: 10.16511/j.cnki.qhdxxb.2020.22.022
Mechanical Engineering |
X-axis thermal error modeling and compensation for an NL201HA CNC horizontal lathe
Yong LUO1,2,Zhufeng SHAO1,*(),Liping WANG1,2,Jiahao QIU1,Zhejin SHENG1
1. Beijing Key Laboratory of Precision/Ultra-Precision Manufacturing Equipments and Control, State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
2. Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
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Abstract  

The influence of thermal error on machine tool processing accuracy was analyzed for a computer numerical control (CNC) horizontal lathe. Thermal error data was recorded using an infrared thermal imager, a displacement sensor and a temperature sensor to establish a thermal error model and a thermal error compensation system. Infrared thermal images and correlation analyses were used to optimize the locations of key temperature measurement points. Then, a linear regression thermal error model was developed for the main lathe axis in the radial direction (X direction). Tests show that the linear regression model is robust and suitable for thermal error modelling of the lathe. The linear regression model was then used to develop a thermal error compensation system based on a Siemens 828D CNC system and an S7-300PLC (programmable logic controller). Tests show that the radial thermal error of the shaft is reduced from the original 10 μm to less than 5 μm with the accuracy improved by more than 50%.

Keywords computer numerical control (CNC) horizontal lathe      temperature measuring point      thermal error modeling      thermal error compensation     
Corresponding Authors: Zhufeng SHAO     E-mail: shaozf@tsinghua.edu.cn
Issue Date: 26 November 2020
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Yong LUO
Zhufeng SHAO
Liping WANG
Jiahao QIU
Zhejin SHENG
Cite this article:   
Yong LUO,Zhufeng SHAO,Liping WANG, et al. X-axis thermal error modeling and compensation for an NL201HA CNC horizontal lathe[J]. Journal of Tsinghua University(Science and Technology), 2021, 61(1): 28-35.
URL:  
http://jst.tsinghuajournals.com/EN/10.16511/j.cnki.qhdxxb.2020.22.022     OR     http://jst.tsinghuajournals.com/EN/Y2021/V61/I1/28
  
10.16511/j.cnki.qhdxxb.2020.22.022.T001

前期实验测点方案

数据通道 测量的量及其单位
ch1 位移传感器到工件的距离X/mm
ch2
ch3 床身温度/℃
ch4 X轴螺母座温度/℃
ch5
ch6 主轴箱前端温度/℃
ch7 室温/℃
  
  
  
10.16511/j.cnki.qhdxxb.2020.22.022.T002

最终测点布置

数据通道 测量的量及其单位
ch1 位移传感器到工件的距离X/mm
ch2
ch3 床身温度/℃
ch4 X轴螺母座温度/℃
ch5 X轴电机座温度/℃
ch6 主轴箱前端温度/℃
ch7 室温/℃
  
10.16511/j.cnki.qhdxxb.2020.22.022.T003

热误差建模阶段实验工况

组别 工况设定
1 主轴4 000 r/min,X轴20 m/min快移
2 X轴20 m/min快移
3 主轴4 000 r/min,X轴20 m/min快移
4 上午:主轴4 000 r/min;下午:X轴20 m/min快移
5 上午:主轴3 000 r/min,X轴16 m/min快移
下午:主轴4 000 r/min,X轴20 m/min快移
  
10.16511/j.cnki.qhdxxb.2020.22.022.T004

各测温点间的相关系数

组别 3-4 3-5 3-6 3-7 4-5 4-6 4-7 5-6 5-7 6-7
1 0.828 4 0.549 4 0.767 4 0.764 1 0.916 6 0.964 5 0.765 6 0.912 7 0.830 4 0.830 5
2 0.561 8 0.871 2 0.628 5 0.146 2 0.842 4 0.960 5 0.308 2 0.915 9 0.311 3 0.442 4
3 0.333 9 0.765 9 0.982 5 0.542 2 0.773 8 0.278 6 0.260 8 0.697 1 0.456 3 0.557 8
4 0.407 9 0.836 9 0.347 9 -0.282 7 0.743 2 0.939 5 0.100 5 0.775 5 0.023 4 0.352 2
5 -0.259 2 0.608 7 0.815 2 0.805 4 0.896 0 -0.421 3 0.034 4 0.236 0 0.644 6 0.629 0
  
10.16511/j.cnki.qhdxxb.2020.22.022.T005

任意3个测点组合与热误差的R2

组别 3-4-5 3-4-6 3-4-7 3-5-6 3-5-7 3-6-7 4-5-6 4-5-7 4-6-7 5-6-7
1 0.948 9 0.972 0 0.827 9 0.974 9 0.929 2 0.958 0 0.911 5 0.322 3 0.669 3 0.808 5
2 0.919 8 0.972 2 0.892 3 0.959 7 0.948 7 0.973 9 0.936 9 0.696 8 0.501 7 0.897 9
3 0.907 2 0.768 2 0.720 9 0.903 2 0.903 1 0.238 3 0.890 6 0.598 9 0.749 6 0.872 8
4 0.924 9 0.977 4 0.884 4 0.952 2 0.941 1 0.961 2 0.962 5 0.745 8 0.653 6 0.899 6
5 0.546 0 0.671 0 0.494 5 0.925 4 0.539 4 0.319 1 0.418 5 0.474 0 0.545 9 0.259 2
  
10.16511/j.cnki.qhdxxb.2020.22.022.T006

任意4个测点组合与热误差的R2

组别 3-4-5-6 3-4-5-7 3-4-6-7 3-5-6-7 4-5-6-7
1 0.977 9 0.969 7 0.972 6 0.978 0 0.935 6
2 0.973 6 0.869 6 0.877 4 0.976 9 0.840 8
3 0.938 1 0.907 4 0.768 8 0.923 3 0.890 7
4 0.977 7 0.961 1 0.977 5 0.970 3 0.967 6
5 0.928 8 0.546 5 0.676 8 0.932 4 0.546 8
              
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