Abstract
A modelling strategy for the prediction of both the scalar and the position-dependent thermal error components is presented. Two types of empirical modelling method based on the multiple regression analysis (MRA) and the artificial neural network (ANN) have been proposed for the real-time prediction of thermal errors with multiple temperature measurements. Both approaches have a systematic and computerised algorithm to search automatically for the nonlinear and interaction terms between different temperature variables. The experimental results on a machining centre show that both the MRA and the ANN can accurately predict the time-variant thermal error components under different spindle speeds and temperature fields. The accuracy of a horizontal machining centre can be improved through experiment by a factor of ten and the errors of a cut aluminium workpiece owing to thermal distortion have been reduced from 92.4 µm to 7.2 µm in the lateral direction. The depth difference due to the spindle thermal growth has been reduced from 196 µm to 8 µm.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
M. H. Attia and L. Kops, “Nonlinear thermoelastic behavior of structural joints-solution to a missing link for predication of thermal deformation of machine tools”,Journal of Engineering for Industry,101, pp. 348–354, August 1979.
J. Janeczko, “Machine tool thermal distortion compensation”,4th Biennial International Machine Tool Technology Conference, September 1988.
J. X. Sha, “Spindle thermal error measurement and modeling on a CNC lathe”. Technical Report, MEAM Dept, University of Michigan, April 1990.
M. A. Woytowitz et al. “Tool path error analysis for high precision milling with a magnetic bearing spindle”,ASME pp. 129–142, 1989.
A. Kurtoglu, “The accuracy improvement of machine tools”,Annals of the CIRP,39(1), pp. 417–419, 1990.
J. S. Chen, J. Yuan, J. Ni and S. M. Wu, “Real-time compensation of time-variant volumetric errors on a machining center”,Journal of Engineering for Industry 115, pp. 472–479, 1993.
M. A. Donmez, D. S. Blomquist, R. J. Hocken, C. R. Liu and M. M. Barash, “A general methodology for machine tool accuracy enhancement by error compensation”,Precision Engineering,8 (4), pp. 187–196, October 1986.
J. S. Chen, J. Yuan, J. Ni and S. M. Wu, “Compensation of nonrigid body kinematic effect on a machining center”,Transactions of the North American Manufacturing Research Institute of SME 20, pp. 325–330, 1992.
D. E. Rumelhart, G. E. Hiton and R. J. Williams, “Learning internal representations by error propagation”,Parallel Distributed Processing 1, pp. 318–362, MIT Press, Cambridge, MA, 1986.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, J.S., Yuan, J. & Ni, J. Thermal error modelling for real-time error compensation. Int J Adv Manuf Technol 12, 266–275 (1996). https://doi.org/10.1007/BF01239613
Issue Date:
DOI: https://doi.org/10.1007/BF01239613