Skip to main content
Log in

Identification and optimal selection of temperature-sensitive measuring points of thermal error compensation on a heavy-duty machine tool

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

Abstract

Thermal error compensation is considered as an effective and economic method to improve the machining accuracy for a machine tool. The performance of thermal error prediction mainly depends on the accuracy and robustness of predictive model and the input temperature variables. Selection of temperature-sensitive measuring points is the premise of thermal error compensation. In the thermal error compensation scheme for heavy-duty computer numerical control (CNC) machine tools, the identification of temperature-sensitive points still lacks an effective method due to its complex structure and heat generation mechanisms. In this paper, an optimal selection method of temperature-sensitive measuring points has been proposed. The optimal measuring points are acquired through three steps. First, the degree of temperature sensitivity is defined and used to select the measuring points with high sensitivity to thermal error. Then, the first selected points are classified with fuzzy clustering and grey correlation grade. Finally, the temperature-sensitive measuring points are selected with analysis of location of temperature sensors. In order to verify the method above, an experiment is carried out on the CR5116 of flexible machining center. A novel temperature sensor, fiber Bragg grating (FBG) sensor, is used to collect the surface temperature of the machine. A thermal error compensation model is developed to analyze the prediction accuracy based on four sequences of measuring points, which are generated by different selection approaches. The results show that the number of the measuring points is reduced from 27 to 5 through the proposed selection method, and the thermal error compensation model based on the optimum temperature-sensitive measuring points has the best performance of prediction effect.

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. Li ZH, Yang JG, Fan KG, Zhang Y (2015) Integrated geometric and thermal error modeling and compensation for vertical machining centers. Int J Adv Manuf Technol 76:1139–1150

    Article  Google Scholar 

  2. Mayr J, Jedrzejewski J, Uhlmann E, Donmez MA, Knapp W, Härtig F, Wendt K, Moriwaki T, Shore P, Schmitt R, Brecher C, Würz T, Wegener K (2012) Thermal issues in machine tools. CIRP Ann Manuf Technol 61:771–791

    Article  Google Scholar 

  3. Ramesh R, Mannan MA, Poo AN (2000) Error compensation in machine tools—a review: Part I: geometric, cutting-force induced and fixture-dependent errors. 40:1257–1284

  4. Ramesh R, Mannan MA, Poo AN (2000) Error compensation in machine tools—a review: Part II: thermal errors. Int J Mach Tools Manuf 40:1257–1284

    Article  Google Scholar 

  5. Postlethwaite SR, Allen JP, Ford DG (1999) Machine tool thermal error reduction—an appraisal. Proc Inst Mech Eng B J Eng Manuf 213:1–9

    Google Scholar 

  6. Jiang H, Fan KG, Yang JG (2014) An improved method for thermally induced positioning errors measurement, modeling, and compensation. Int J Adv Manuf Technol 75:1279–1289

    Article  Google Scholar 

  7. Cui G, Lu Y, Gao D, Yao YX (2012) A novel error compensation implementing strategy and realizing on Siemens 840D CNC systems. Int J Adv Manuf Technol 61:595–608

    Article  Google Scholar 

  8. Kim SK, Cho DW (1997) Real-time estimation of temperature distribution in a ball screw system temperature. Int J Mach Tools Manuf 37:451–464

    Article  Google Scholar 

  9. Mayr J, Weikert S, Wegener K (2007) Comparing the thermo-mechanical-behavior of machine tool frame designs using a FDM-FEA simulation approach. Proc 22nd ASPE Annu Meet 17–20

  10. Zhang T, Ye WH, Liang RJ, Lou PH, Yang XL (2013) Temperature variable optimization for precision machine tool thermal error compensation on optimal threshold. Chin J Mech Eng 26:158–165

    Article  Google Scholar 

  11. Lee J-H, Yang S-H (2002) Statistical optimization and assessment of a thermal error model for CNC machine tools. Int J Mach Tools Manuf 42:147–155

    Article  Google Scholar 

  12. 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 

  13. 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 

  14. Liang RJ, Ye WH, Zhang HH, Yang QF (2012) The thermal error optimization models for CNC machine tools. Int J Adv Manuf Technol 63:1167–1176

    Article  Google Scholar 

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

    Article  Google Scholar 

  16. Yang H, Ni J (2005) Dynamic neural network modeling for nonlinear, nonstationary machine tool thermally induced error. Int J Mach Tools Manuf 45:455–465

    Article  Google Scholar 

  17. Han J, Wang LP, Cheng NB, Wang HT (2012) Thermal error modeling of machine tool based on fuzzy c-means cluster analysis and minimal-resource allocating networks. Int J Adv Manuf Technol 60:463–472

    Article  Google Scholar 

  18. Wang HT, Wang LP, Li TM, Han J (2013) Thermal sensor selection for the thermal error modeling of machine tool based on the fuzzy clustering method. Int J Adv Manuf Technol 121–126

  19. Abdulshahed AM, Longstaff AP, Fletcher S, Myers A (2015) Thermal error modelling of machine tools based on ANFIS with fuzzy c-means clustering using a thermal imaging camera. Appl Math Model 39:1837–1852

    Article  Google Scholar 

  20. Lee J, Lee J, Yang S (2001) Development of thermal error model with minimum number of variables using fuzzy logic strategy. 15:1482–1489

  21. Fan ZL, Li ZH, Yang JG (2010) NC machine tool temperature measuring point optimization and thermal error modeling based on partial correlation analysis. China Mech Eng 21:2025–2028

    Google Scholar 

  22. Chen C, Zhang CY, Chen H (2011) Selection and modeling of temperature variables for the thermal error compensation in servo system. In: Electron. Meas. Instruments (ICEMI), 2011 10th Int. Conf. on. IEEE. pp 220–223

  23. Liang RJ, Ye WH, Luo W, Yu H, Yang Q (2011) Identification of the key thermal points on machine tools by grouping and optimizing variables. 18:87–93

  24. Miao EM, Gong YY, Niu PC, Ji CZ, Chen HD (2013) Robustness of thermal error compensation modeling models of CNC machine tools. Int J Adv Manuf Technol 69:2593–2603

    Article  Google Scholar 

  25. Yang JG, Deng WG, Ren YQ, Li YS, Dou XL (2004) Grouping optimization modeling by selection of temperature variables for the thermal error compensation on machine tools. 6–9

  26. Miao EM, Gong YY, Dang LC, Miao JC (2014) Temperature-sensitive point selection of thermal error model of CNC machining center. Int J Adv Manuf Technol 74:681–691

    Article  Google Scholar 

  27. Zhou ZD, Liu Q, Ai QS, Xu C (2011) Intelligent monitoring and diagnosis for modern mechanical equipment based on the integration of embedded technology and FBGS technology. Meas J Int Meas Confed 44:1499–1511

    Article  Google Scholar 

  28. Zhou ZD, Jiang DS, Zhang DS (2009) Digital monitoring for heavy duty mechanical equipment based on fiber Bragg grating sensor. Sci China, Ser E Technol Sci 52:285–293

    Article  Google Scholar 

  29. Deng JL (1989) Introduction to grey system theory. J of grey Syst 1:1–24

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Junwei Yan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Q., Yan, J., Pham, D.T. et al. Identification and optimal selection of temperature-sensitive measuring points of thermal error compensation on a heavy-duty machine tool. Int J Adv Manuf Technol 85, 345–353 (2016). https://doi.org/10.1007/s00170-015-7889-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-015-7889-1

Keywords

Navigation