Skip to main content
Log in

Multivariate orthogonal polynomial-based positioning error modeling and active compensation of dual-driven feed system

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

Abstract

The nonsynchronous error of the dual-driven feed system seriously affects the positioning and machining accuracy of CNC machine tools. Improving the positioning error is an extremely important task as it determines the geometric accuracy of the manufactured parts. In this paper, a Multivariate Orthogonal Polynomial Regression model has been developed to predict the positioning error in terms of motion parameters such as position and speed of the X1 and X2 axes of the dual-driven worktable. Orthogonal Experimental Design has been engaged in conducting experiments. The positioning errors are measured by a dual-frequency laser interferometer. In addition, a real-time error compensation system is developed based on the proposed active compensation control strategy in the dual-driven feed system controlled by Beckhoff motion control card. Experimental results show that the proposed positioning error model and error compensation strategy can be utilized as an effective manner to improve the accuracy of dual-driven CNC machine tools.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Kosuke I, Burak S, Eiji S (2013) Cross coupling controller for accurate motion synchronization of dual servo systems. IJAT 7(5):514–522

    Article  Google Scholar 

  2. Hsieh MF, Yao WS, Chiang CR (2007) Modeling and synchronous control of a single-axis stage driven by dual mechanically-coupled parallel ball screws. Int J Adv Manuf Technol 34(9-10):933–943

    Article  Google Scholar 

  3. Byun JH, Choi MS (2012) A method of synchronous control system for dual parallel motion stages. Int J Precis Eng Manuf 13(6):883–889

    Article  Google Scholar 

  4. Chen SL, Lin WM, Chang TH (2008) Tracking control for a synchronized dual parallel linear motor machine tool. Proc IMechE Part I J Syst Control Eng 222(8):851–862

    Article  Google Scholar 

  5. Ni J (1997) CNC machine accuracy enhancement through real-time error compensation. J Manuf Sci E-T ASME 119(4B):717–725

    Article  Google Scholar 

  6. Sarachik P, Ragazzini JR (1957) A 2-dimensional feedback control system. Trans AIEE 76(2):55–61

    Google Scholar 

  7. Koren Y (1980) Cross-coupled biaxial computer controls for manufacturing systems. J Dyn Syst Meas Control-Trans ASME 102(4):265–272

    Article  Google Scholar 

  8. Anderson RG, Meyer AJ, Valenzuela MA, Lorenz RD (2001) Web machine coordinated motion control via electronic line-shafting. IEEE Trans Ind Appl 37(1):247–254

    Article  Google Scholar 

  9. Shi H, Zhang D, Yang J, Ma C, Mei X, Gong G (2016) Experiment-based thermal error modeling method for dual ball screw feed system of precision machine tool. Int J Adv Manuf Technol 82(9-12):1693–1705

    Article  Google Scholar 

  10. Wang W, Zhang Y, Yang J, Zhang Y, Yuan F (2013) Geometric and thermal error compensation for CNC milling machines based on Newton interpolation method. Proc Inst Mech Eng C J Mech Eng Sci 227(4):771–778

    Article  Google Scholar 

  11. Zhang H, Yang J, Zhang Y, Shen J, Wang C (2011) Measurement and compensation for volumetric positioning errors of CNC machine tools considering thermal effect. Int J Adv Manuf Technol 55(1-4):275–283

    Article  Google Scholar 

  12. Wang W, Zhang Y, Fan K, Yang J (2013) A Fourier series-neural network based real-time compensation approach for geometric and thermal errors of CNC milling machines. Adv Mech Eng 5:357920

    Article  Google Scholar 

  13. Wei X, Miao E, Liu H, Liu S, Chen S (2019) Two-dimensional thermal error compensation modeling for worktable of cnc machine tools. Int J Adv Manuf Technol 101(1-4):501–509

    Article  Google Scholar 

  14. Li Z, Fan K, Yang J, Zhang Y (2014) Time-varying positioning error modeling and compensation for ball screw systems based on simulation and experimental analysis. Int J Adv Manuf Technol 73(5-8):773–782

    Article  Google Scholar 

  15. Liang JC, Li HF, Yuan JX, Ni J (1997) A comprehensive error compensation system for correcting geometric, thermal, and cutting force-induced errors. Int J Adv Manuf Technol 13(10):708–712

    Article  Google Scholar 

  16. Jiang H, Fan K, Yang J (2014) An improved method for thermally induced positioning errors measurement, modeling, and compensation. Int J Adv Manuf Technol 75(9-12):1279–1289

    Article  Google Scholar 

  17. Fan K, Yang J, Yang L (2013) Orthogonal polynomials-based thermally induced spindle and geometric error modeling and compensation. Int J Adv Manuf Technol 65(9-12):1791–1800

    Article  Google Scholar 

  18. Zhang J, Li B, Zhou C, Zhao W (2016) Positioning error prediction and compensation of ball screw feed drive system with different mounting conditions. Proc Inst Mech Eng B J Eng Manuf 230(12):2307–2311

    Article  Google Scholar 

  19. Ding G, Zhu S, Yahya E, Jiang L, Ma S, Yan K (2014) Prediction of machining accuracy based on a geometric error model in five-axis peripheral milling process. Proc Inst Mech Eng B J Eng Manuf 228(10):1226–1236

    Article  Google Scholar 

  20. Feng W, Li Z, Gu Q, Yang J (2015) Thermally induced positioning error modelling and compensation based on thermal characteristic analysis. Int J Mach Tools Manuf 93:26–36

    Article  Google Scholar 

  21. Li Q, Li H (2019) A general method for thermal error measurement and modeling in CNC machine tools’ spindle. Int J Mach Tools Manuf 1-11

  22. Zhu X, Xiang S, Yang J (2014) Novel thermal error modeling method for machining centers. Proc Inst Mech Eng C J Mech Eng Sci 229(8):1500–1508

    Article  Google Scholar 

  23. ISO 230-3 (2007) Test code for machine tools-Part 3: determination of thermal effects

  24. Ren LQ (2003) Optimum design and analysis of experiments, 2nd edn. Higher Education Press, Beijing

    Google Scholar 

  25. He W, Xue WD, Tang B (2012) Optimize test design method and data analysis. Chemical Industry Press, Beijing

    Google Scholar 

  26. http://www.beckhoff.com.cn/english/ [EB/CD]. Accessed 10 November 2018

  27. Wng J, Guo S, Nie SL (2015) Design of control system for stewart platform based on Beckhoff Twincat 3. Autom Panorama 9:82–85

    Google Scholar 

  28. Deng Y (2018) Positioning Error Analysis and Compensation Experiment of Eccentric Drive Feeding System. Dissertation. School of Wuhan University of Technology

Download references

Funding

This article was supported by the National Nature Science Foundation of China (no. 51675393) and the Major Projects of Technological Innovation of Hubei Province (no. 2017AAA111).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xinbao Zhang.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Duan, M., Lu, H., Zhang, X. et al. Multivariate orthogonal polynomial-based positioning error modeling and active compensation of dual-driven feed system. Int J Adv Manuf Technol 104, 2593–2605 (2019). https://doi.org/10.1007/s00170-019-04040-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-019-04040-2

Keywords

Navigation