Research of thermal characteristics has been a key issue in the development of high-speed feed system. The thermal positioning error of a ball-screw is one of the most important objects to consider for high-accuracy and high-speed machine tools. The research work undertaken herein ultimately aims at the development of a comprehensive thermal error identification model with high accuracy and robust. Using multi-class least squares support vector machines (LS-SVM), the thermal positioning error of the feed system is identified with the variance and mean square value of the temperatures of supporting bearings and screw-nut as feature vector. A series of experiments were carried out on a self-made quasi high-speed feed system experimental bench HUST-FS-001 to verify the identification capacity of the presented method. The results show that the recommended model can be used to predict the thermal error of a feed system with good accuracy, which is better than the ordinary BP and RBF neural network. The work described in this paper lays a solid foundation of thermal error prediction and compensation in a feed system.
. Identification of thermal error in a feed system based on multi-class LS-SVM[J]. Frontiers of Mechanical Engineering, 2012, 7(1): 47-54.
Chao JIN, Bo WU, Youmin HU, Yao CHENG. Identification of thermal error in a feed system based on multi-class LS-SVM. Front Mech Eng, 2012, 7(1): 47-54.
Ramesh R, Mannan M A, Poo A N. Error compensation in machine tools—a review: Part II: thermal errors. International Journal of Machine Tools & Manufacture , 2000, 40(9): 1257-1284
2
Jedrzejewski J, Modrzycki W. A new approach to modelling thermal behaviour of a machine tool under service conditions. Annals of the CIRP , 1992, 41(1): 455-458 doi: 10.1016/S0007-8506(07)61243-8
3
Erkorkmaz K, Gorniak J M, Gordon D J. Precision machine tool X-Y stage utilizing a planar air bearing arrangement. Annals of CIRP , 2010, 59(1): 425-428 doi: 10.1016/j.cirp.2010.03.086
4
Qi L, Zhang G. Modeling and simulation of the thermal network in a space gear-bearing system. In: Proceedings of 2010 IEEE International Conference on Information and Automation, Harbin , 2010: 201-205
5
Huang S C. Analysis of a model to forecast thermal deformation of ball-screw feed drive systems. International Journal of Machine Tools & Manufacture , 1995, 45(8): 1099-1104
6
Venugopal R, Barash M, Shaw M. Thermal effects on the accuracy of numerically controlled machine tools. Annals of the CIRP , 1986, 35(1): 255-258 doi: 10.1016/S0007-8506(07)61882-4
7
Veldhuis S C, Elbestawi M A. A strategy for the compensation of errors in five-axis machining. Annals of the CIRP , 1995, 44(1): 373-378 doi: 10.1016/S0007-8506(07)62345-2
8
Kim S K, Cho D W. Real-time estimation of temperature distribution in a ball-screw system. International Journal of Machine Tools & Manufacture , 1997, 37(4): 451-464 doi: 10.1016/S0890-6955(96)00036-3
9
Ekici S. Classification of power system disturbances using support vector machines. Expert Systems with Applications , 2009, 36(6): 9859-9868 doi: 10.1016/j.eswa.2009.02.002
10
Baccarini L M R, Rochae Silva V V, de Menezes B R, Caminhas W M. SVM practical industrial application for mechanical faults diagnostic. Expert Systems with Applications , 2011, 38(6): 6980-6984 doi: 10.1016/j.eswa.2010.12.017
Krulewich D A. Temperature integration model and measurement point selection for thermally induced machinetool errors. Mechatronics , 1998, 8(4): 395-412 doi: 10.1016/S0957-4158(97)00059-7
13
Lo C H, Yuan J X, Ni J. Optimal temperature variable selection by grouping approach for thermal error modeling and compensation. International Journal of Machine Tools & Manufacture , 1999, 39(9): 1383-1396
14
Suykens J A K, Vandewalle J. Least squares support vector machine classifier. Neural Processing Letters , 1999, 9(3): 293-300 doi: 10.1023/A:1018628609742
15
Fletcher R. Practical Methods of Optimization. Chichester and New York: John Wiley and Sons, 1987