Thermal Error Modeling and RealTime Compensation of CNC Machine Tools Based on Time Series Method

Abstract

Abstract: Abstract： The principle and process of thermal error modeling on NC machine tools based on the time series method were presented. Comprehensive analysis software of the time series method was used to preprocess the thermal error datum, recognize the mode, estimate the parameters of the model, and distinguish and confirm the model order through a loop computing method. After that, a realtime compensation model was established which showed the changing rule of thermal error on NC machine tools. The iteration coefficients were adjusted in real time with the analysis and comparison of the variation of temperature. The thermal error compensation model established was used to realize the realtime compensation for the thermal drift error of CNC machine tools by making use of the realtime compensation system. The processing results with compensation showed that the errors of the workpieces in diametric direction were reduced from 112 μm to 7 μm, which demonstrated that the machining precision and stability of the machine tool were improved significantly.

Key words: Key words： computer numerical control(CNC) machine, thermal error modeling, time series method, realtime compensation

CLC Number:

TH 161

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.

References

［1］MAYR J,JEDRZJEWSKI J,UHLMANN E, et al. Thermal issues in machine tools［J］. CIRP AnnalsManufacturing Technology, 2012, 61 (2)：771791. ［2］RANESH R, MANNAN M A,POO A N. Error compensation in machine tools——A review. Part Ⅱ. Thermal errors［J］.International Journal of Machine Tool and Manufacture, 2000, 40 ( 9 )：1257 1284. ［3］XU Z Z, LIU X J, KIM H K, et al. Thermal error forecast and performance evaluation for an aircooling ball screw system［J］. International Journal of Machine Tools and Manufacture, 2011, 51 (7)：605611. ［4］BARMAN S, SEN R. Enhancement of accuracy of multiaxis machine tools through error measurement and compensation of errors using laser interferometry technique［J］. MAPANJournal of Metrology Society of India, 2010, 25(2)：7987. ［5］CHEN Yueping, GAO Jian, WEN Hao, et al. Error analysis of machining accuracy of freeform surfaces using online inspection method［J］. TELKOMNIKA: Indonesian Journal of Electrical Engineering, 2012, 10(8)：22362342. ［6］KHAN A W, CHEN Wuyi. A methodology for systematic geometric error compensation in fiveaxis machine tools［J］. The International Journal of Advanced Manufacturing Technology, 2011, 53：615628. ［7］傅建中, 姚鑫骅, 贺永, 等. 数控机床热误差补偿技术的发展状况［J］. 航空制造技术, 2010（ 4）：6466. FU Jianzhong, YAO Xinhua, HE Yong, et al. The development of thermal error compensation technology for NC machine tool［J］. Aeronautical Manufacturing Technology, 2010（ 4）：6466. ［8］仇健，刘春时，刘启伟，等．龙门数控机床主轴热误差及其改善措施［J］．机械工程学报，2012，48(21)：149157． QIU Jian，LIU Chunshi，LIU Qiwei, et al．Thermal errors of planer type NC machine tools and its improvement measures［J］. Journal of Mechanical Engineering, 2012, 48(21)：149157．［9］SENG Hongyao, FU Jinzhong, HE Yong, et al., Online asynchronous compensation methods for static/quasistatic error implemented on CNC machine tools［J］. International Journal of Machine Tools and Manufacture, 2012, 60：1426. ［10］傅建中，陈子辰. 精密机械热动态误差模糊神经网络建模研究［J］. 浙江大学学报（工学版）,2004, 38(6)：742746. FU Jianzhong, CHEN Zichen. Research on modeling the thermal dynamic errors of precision machine based on fuzzy logic and artificial neural network［J］. Journal of Zhejiang University (Engineering Science), 2004, 38(6)：742746. ［11］PAHK H, LEE S W. Thermal error measurement and real time compensation system for the CNC machine tools incorporating the spindle thermal error and the feed axis thermal error［J］. The International Journal of Advanced Manufacturing Technology, 2002, 20(7)：487494. ［12］张毅，杨建国．基于灰色理论预处理的神经网络机床热误差建模［J］．机械工程学报，2011，47(7)：134139． ZHANG Yi，YANG Jianguo．Modeling for machine tool thermal error based on grey model preprocessing neural network［J］. Journal of Mechanical Engineering，201l, 47(7)：134139．［13］YANG Hong,NI Jun. Adaptive model estimation of machine tool thermal errors based on recursive dynamic modeling strategy［J］.International Journal of Machine Tools and Manufacture, 2005, 45(1)：111. ［14］YANG Hong,NI Jun. Dynamic neural network modeling for nonlinear, nonstationary machine tool thermally induced error［J］.International Journal of Machine Tools and Manufacture, 2005,45：455465. ［15］姚晓栋. 光学曲线磨床的实验模态分析及动态性能优化［D］. 上海:上海交通大学研究生院,2005.

[1]	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.
[2]	LI Zihan,YANG Jianguo,ZHANG Yi,YAO Xiaodong. Machine Tool Positioning Error Compensation Based on Adaptive Segmentation and Dynamic Modification [J]. Journal of Shanghai Jiaotong University, 2014, 48(1): 27-32.
[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.