Skip to main content
Log in

Modified Elman network for thermal deformation compensation modeling in machine tools

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Thermal deformation is one of the most significant causes of machining errors in machine tools. One effective method is to build a compensation system to offset the thermal errors. Therefore, an accurate model is the key part of the compensation system. This study proposed a modified Elman network (EN) to improve the prediction accuracy of the compensation model in machine tools. And the improved EN can be regarded as a feed-forward neural network with feedback from hidden layer and output layer as an additional set of inputs. The structure of this network determines its dynamic characteristic with memory function. On the other hand, thermal deformation of the spindle contributes the largest part of total thermal errors in precision machining. Then a precise finite element model of machine tool spindle was established. And a new method for calculating the heat transfer convection coefficient on the surface of the spindle was proposed in this paper. The improved EN was used to map the nonlinear relationship between temperature field and thermal errors of the spindle. At last, a verification experiment was implemented on a CNC center and some satisfying results were achieved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Krulewich DA (1998) Temperature integration model and measurement point selection for thermally induced machine tool errors. Mechatronics 8:395–412

    Article  Google Scholar 

  2. Chen JS, Yuan JX, Ni J (1996) Thermal error modeling for real-time error compensation. Int J Adv Manuf Technol 12(4):266–275

    Article  Google Scholar 

  3. Yan JY, Yang JG (2009) Application of synthetic grey correlation theory on thermal point optimization for machine tool thermal error compensation. Int J Adv Manuf Technol 43:1124–1132

    Article  Google Scholar 

  4. Donmez MA, Blomquist RJ, Hocken RJ, Liu CR, Barash MM (1986) A general methodology for machine tool accuracy enhancement by error compensation. Precis Eng 8(4):87–195

    Article  Google Scholar 

  5. Chen JS, Yuan JX, Ni J, Wu SM (1993) Real-time compensation for time-variant volumetric errors on a machining center. J Eng Ind 115:472–479

    Article  Google Scholar 

  6. Yang H, Ni J (2003) Dynamic modeling for machine tool thermal error compensation. J Manuf Sci Eng 125:245–254

    Article  Google Scholar 

  7. Wang Y, Zhang G, Moon KS, Sutherland JW (1998) Compensation for the thermal error of a multi-axis machining center. J Mater Process Technol 75:45–53

    Article  Google Scholar 

  8. Li YX, Yang JG, Gelvis T, Li YY (2008) Optimization of measuring points for machine tool thermal error based on grey system theory. Int J Adv Manuf Technol 35:745–750

    Article  Google Scholar 

  9. Choi H-S, Lee S-K (2002) Machining error compensation of external cylindrical grinding using thermally actuated rest. Mechatronics 12:643–656

    Article  Google Scholar 

  10. Hattori M, Noguchi H, Ito S, Suto T, Inoue H (1996) Estimation of thermal deformation in machine tools using neural network technique. J Mater Process Technol 56:765–772

    Article  Google Scholar 

  11. Veldhuis SC, Elbestawi MA (1995) A strategy for the compensation of errors in five-axis machining. CIRP Annals - Manufacturing Technology 44(1):373–377

    Article  Google Scholar 

  12. Kang Y, Chang CW, Huang Y, Hsu CL, Nieh I-F (2007) Modification of a neural network utilizing hybrid filters for the compensation of thermal deformation in machine tools. Int J Mach Tools Manuf 47:376–387

    Article  Google Scholar 

  13. Zhao HT, Yang JG, Shen JH (2007) Simulation of thermal behavior of a CNC machine tool spindle. Int J Mach Tools Manuf 47:1003–1010

    Article  Google Scholar 

  14. Xu M, Jiang SY, Cai Y (2007) An improved thermal model for machine tool bearings. Int J Mach Tools Manuf 47:53–62

    Article  Google Scholar 

  15. Pahk HJ, Lee SW (2002) Thermal error measurement and real time compensation system for the CNC machine tools incorporating the spindle thermal error and the feed axis thermal error. Int J Adv Manuf Technol 20:487–494

    Article  Google Scholar 

  16. Robert H-N (1987) Kolmogorov’s mapping neural network existence theorem. In IEEE First International Conference on Neural Networks, pp 11–14

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhiyong Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, Z., Sun, M., Li, W. et al. Modified Elman network for thermal deformation compensation modeling in machine tools. Int J Adv Manuf Technol 54, 669–676 (2011). https://doi.org/10.1007/s00170-010-2961-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-010-2961-3

Keywords

Navigation