Skip to main content

Advertisement

Log in

Thermal error modeling by integrating GA and BP algorithms for the high-speed spindle

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

Abstract

Thermal error is one of primary reasons affecting the cutting accuracy of a machine tool. Especially, high-speed spindle’s thermal error restricts the improvement of high-precision machine tool accuracy. In this paper, the traditional back propagation (BP) neural network modeling principle is firstly analyzed. Then, considering the BP network, which is simple and adaptive but converges slowly and is easy to reach local minima, a genetic algorithm (GA) is introduced to optimize BP network’s initial weights and thresholds. Lastly, the network is trained using combined GA and BP technologies with practical thermal error sample data. In experiments of thermal error prediction of the high-speed spindle in a machine tool, the average compensation rate is increased from 89.03 % of BP model to 93.155 % of GABP model. Therefore, GABP model shows its effectiveness in quickly solving the global minimum searching problem.

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. Wang L, Xu FY, Wang XS (2012) Analysis of thermally induced machine tool errors of a crank press. Proc Inst Mech Eng Part B 226(B9):1465–1478

    Article  Google Scholar 

  2. Han J, Wang L, Wang H, Cheng N (2012) A new thermal error modeling method for CNC machine tools. Int J Adv Manuf Technol 62(1–4):205–212

    Article  Google Scholar 

  3. Miao EM, Gong YY, Niu PC (2013) Robustness of thermal error compensation modeling models of CNC machine tools. Int J Adv Manuf Technol 69(9–12):2593–2603

    Article  Google Scholar 

  4. Wang JS, Zhu CG, Feng MC (2013) Thermal error modeling and compensation of long-travel nanopositioning stage. Int J Adv Manuf Technol 65(1–4):443–450

    Article  Google Scholar 

  5. Ramesh R, Mannan MA, Poo AN, Keerthi SS (2003) Thermal error measurement and modelling in machine tools. Part II. Hybrid Bayesian Network—support vector machine model. Int J Mach Tool Manuf 43(4):405–419

    Article  Google Scholar 

  6. Denis SA, Samuel GL (2012) Harmonic-analysis-based method for separation of form error during evaluation of high-speed spindle radial errors. Proc Inst Mech Eng Part B 226(5):837–852

    Article  Google Scholar 

  7. Ashok SD, Samuel GL (2012) Modeling, measurement, and evaluation of spindle radial errors in a miniaturized machine tool. Int J Adv Manuf Technol 59(5–8):445–461

    Article  Google Scholar 

  8. Chen D, Bonis M, Zhang F, Dong S (2011) Thermal error of a hydrostatic spindle. Precis Eng 35(3):512–520

    Article  Google Scholar 

  9. Creighton E, Honegger A, Tulsian A, Mukhopadhyay D (2010) Analysis of thermal errors in a high-speed micro-milling spindle. Int J Mach Tool Manuf 50(4):386–393

    Article  Google Scholar 

  10. Zhang Y, Yang J, Jiang H (2012) Machine tool thermal error modeling and prediction by grey neural network. Int J Adv Manuf Technol 59(9–12):1065–1072

    Article  Google Scholar 

  11. Li JW, Zhang WJ, Yang GS, Tu SD, Chen XB (2009) Thermal-error modeling for complex physical systems: the-state-of-arts review. Int J Adv Manuf Technol 42(1–2):168–179

    Article  Google Scholar 

  12. Chao J, Bo W, Hu YM (2011) Wavelet neural network based on NARMA-L2 model for prediction of thermal characteristics in a feed system. Chin J Mech Eng 24(1):33–41

    Article  Google Scholar 

  13. Guo Q, Yang J, Wu H (2010) Application of ACO-BPN to thermal error modeling of NC machine tool. Int J Adv Manuf Technol 50(5–8):667–675

    Article  Google Scholar 

  14. Kang Y, Chang CW, Chu MH, Chang YP, Wang YP (2006) Estimation of thermal deformation in machine tools using the hybrid autoregressive moving-average-neural network model. Proc Inst Mech Eng Part B 220(8):1317–1323

    Article  Google Scholar 

  15. Wu JP, Sun DS (2006) Modern data analysis. Mach Ind, China (in Chinese)

  16. Zhang L (2004) End of the converter based on the GABP hybrid algorithm optimal control model. Chongqing University, China (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yanqun Huang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huang, Y., Zhang, J., Li, X. et al. Thermal error modeling by integrating GA and BP algorithms for the high-speed spindle. Int J Adv Manuf Technol 71, 1669–1675 (2014). https://doi.org/10.1007/s00170-014-5606-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-014-5606-0

Keywords

Navigation