AVQ Clustering Algorithm and OIF-Elman Neural Network for Machine Tool Thermal Error

Abstract

Abstract:

An adaptive vector quantization (AVQ) network clustering algorithm based on feed-forward neural network for the selection of temperature measuring points was proposed in thermal error compensation on machine tools. The method reduces the measuring points from 18 to 3, when adopted on a machining center. Then the relationship between thermal error and key temperature measuring points was established based on the output-input feedback Elman neural network model. The experimental results show that the method proposed can effectively eliminate the coupling among temperature measuring points and improve the accuracy and robustness of the thermal error model.

Key words: computer numerical control(CNC) machine tool, adaptive vector quantization (AVQ) network, outputinput feedback Elman neural network, thermal error modeling

CLC Number:

TH 161

ZHU Xiaolong,YANG Jianguo,DAI Guisong. AVQ Clustering Algorithm and OIF-Elman Neural Network for Machine Tool Thermal Error[J]. Journal of Shanghai Jiaotong University, 2014, 48(1): 22-26.

References

［1］Ramesh R, Mannan M A, Poo A N. Error compensation in machine tools——A review: Part II. Thermal errors ［J］. International Journal of Machine Tools and Manufacture, 2000, 40(9): 12571284.

［2］张琨, 张毅, 侯广峰, 等. 基于热模态分析的热误差温度测点优化选择［J］. 机床与液压, 2012, 40(7): 13.

ZHANG Kun, ZHANG Yi, HOU Guangfeng, et al. Selection of sensor placement for thermal error compensation based on thermal mode analysis ［J］. Machine Tool and Hydraulics, 2012, 40(7): 13.

［3］凡志磊, 李中华, 杨建国. 基于偏相关分析的数控机床温度布点优化及其热误差建模［J］. 中国机械工程, 2010, 21(17): 20252028.

FAN Zhilei, LI Zhonghua, YANG Jianguo. NC Machine tool temperature measuring point optimization and thermal error modeling based on partial correlation analysis ［J］. China Mechanical Engineering, 2010, 21(17): 20252028.

［4］沈岳熙, 杨建国. 基于岭回归的数控机床温度布点优化及其热误差建模［J］. 机床与液压, 2012, 40(5): 13.

SHEN Yuexi, YANG Jianguo. Temperature measuring point optimization and thermal modeling based on ridge regression ［J］. Machine Tool and Hydraulics, 2012, 40(5): 13.

［5］闫嘉钰, 张宏涛, 刘国良，等. 基于灰色综合关联度的数控机床热误差测点优化新方法及应用［J］. 四川大学学报: 工程科学版, 2008, 40(2): 160164.

YAN Jiayu, ZHANG Hongtao, LIU Guoliang, et al. Application of a new optimizing method for the measuring points of CNC machine thermal error based on grey systhetic degree of association ［J］. Journal of Sichuan University: Engineering Science Edition, 2008, 40(2): 160164.

［6］郭前建, 杨建国, 李永祥, 等.聚类回归分析在滚齿机热误差建模中的应用［J］. 上海交通大学学报, 2008, 42(7): 10551059.

GUO Qianjian, YANG Jianguo, LI Yongxiang, et al. Application of clustering regression analysis to thermal error modeling of gear hobbing machine ［J］. Journal of Shanghai Jiaotong University, 2008, 42(7): 10551059.

［7］Han Jian, Wang Liping, Cheng Ningbo, et al. Thermal error modeling of machine tool based on fuzzy cmeans cluster analysis and minimalresource allocating networks ［J］. International Journal of Advanced Manufacturing Technology, 2012, 60（58）: 463472.

［8］Han Jian, Wang Liping, Wang Haitong, et al. A new thermal error modeling method for CNC machine tools ［J］. International Journal of Advanced Manufacturing Technology, 2012, 62（14）: 205212.

［9］Shukla S K, Tiwari M K. GA guided cluster based fuzzy decision tree for reactive ion etching modeling: A data mining approach ［J］. IEEE Transactions on Semiconductor Manufacturing, 2012, 25(1): 4556.

［10］Yang Zhiyong, Sun Minglu, Li Weiqian, et al. Modified Elman network for thermal deformation compensation modeling in machine tools ［J］. International Journal of Advanced Manufacturing Technology, 2011, 54（58）: 669676.

[1]	TUO Zhanyu,HUANG Yiqiao,SHEN Muwen,YANG Jianguo. Modeling of Geometric and Thermal Complex Positioning Error of CNC Machine Tools Based on Cubic Spline Interpolation [J]. Journal of Shanghai Jiaotong University, 2016, 50(05): 668-672.
[2]	YAO Xiaodong1,3,HUANG Yiqiao1,MA Xiaobo2,XUE bo3,YANG Jianguo1. Thermal Error Modeling and RealTime Compensation of CNC Machine Tools Based on Time Series Method [J]. Journal of Shanghai Jiaotong University, 2016, 50(05): 673-679.
[3]	YANG Jun,MEI Xuesong,ZHAO Liang,MA Chi,FENG Bin,SHI Hu. Thermal Error Modeling of a Coordinate Boring Machine Based on Fuzzy Clustering and SVM [J]. Journal of Shanghai Jiaotong University, 2014, 48(08): 1175-1182.