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A geometric error measurement method for five-axis ultra-precision machine tools

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Abstract

To solve the problem of geometric error measurement for five-axis ultra-precision machine tools in interpolated five-axis motion, a measurement method based on the double ballbar (DBB) is proposed in this paper. The method proposed in this research can measure the geometric errors of five-axis ultra-precision machine tool through only one-time installation, and the new method is less limited by the layout of machine tools. The motion trajectory is designed, and the length of the DBB remains constant during the measurement process to achieve the measurement of the geometric errors. Furthermore, the measured results are compared with the theoretical results of the error model. It is found that the trend and the amplitude of the measurement results are in agreement with the theoretical results. It is proved that the method can measure the geometric errors of five-axis ultra-precision machine tool effectively.

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References

  1. Schwenke H, Knapp W, Haitjema H, Weckenmann A, Schmitt R, Delbressine F (2008) Geometric error measurement and compensation of machines-an update. CIRP Ann - Manuf Technol 57:660–675

    Article  Google Scholar 

  2. International Organization For Standardization (2012) ISO 230-1 Test code for machine tools - Part 1: Geometric accuracy of machines operating under no-load or quasi-static conditions

  3. Wang H, Ran Y, Zhang S, Li Y (2020) Coupling and decoupling measurement method of complete geometric errors for multi-axis machine tools. Appl Sci 10:2164

    Article  Google Scholar 

  4. Liu X, Zhang X, Fang F, Liu S (2016) Identification and compensation of main machining errors on surface form accuracy in ultra-precision diamond turning. Int J Mach Tools Manuf 105:45–57

    Article  Google Scholar 

  5. Ibaraki S, Knapp W (2012) Indirect measurement of volumetric accuracy for three-axis and five-axis machine tools: a review. Int J Autom Technol 6:110–124

    Article  Google Scholar 

  6. Gao W, Weng L, Zhang J, Tian W, Zhang G, Zheng Y, Li J (2020) An improved machine tool volumetric error compensation method based on linear and squareness error correction method. Int J Adv Manuf Technol 106:4731–4744

    Article  Google Scholar 

  7. Wang J, Wang Q, Li H (2019) The method of geometric error measurement of NC machine tool based on the principle of space vector’s direction measurement. Int J Precis Eng Manuf 20:511–524

    Article  Google Scholar 

  8. Li K, Kuang C, Liu X (2013) Small angular displacement measurement based on an autocollimator and a common-path compensation principle. Rev Sci Instrum 84:015108

    Article  Google Scholar 

  9. Ibaraki S, Oyama C, Otsubo H (2011) Construction of an error map of rotary axes on a five-axis machining center by static R-test. Int J Mach Tools Manuf 51:190–200

    Article  Google Scholar 

  10. Ibaraki S, Iritani T, Matsushita T (2013) Error map construction for rotary axes on five-axis machine tools by on-the-machine measurement using a touch-trigger probe. Int J Mach Tools Manuf 68:21–29

    Article  Google Scholar 

  11. Jiang Z, Song B, Zhou X, Tang X, Zheng S (2015) Single setup identification of component errors for rotary axes on five-axis machine tools based on pre-layout of target points and shift of measuring reference. Int J Mach Tools Manuf 98:1–11

    Article  Google Scholar 

  12. Chen Q, Li W, Jiang C, Zhou Z, Min S (2021) Separation and compensation of geometric errors of rotary axis in 5-axis ultra-precision machine tool by empirical mode decomposition method. J Manuf Process 68:1509–1523

    Article  Google Scholar 

  13. Ni Y, Liu X, Zhang B, Zhang Z, Li J (2018) Geometric error measurement and identification for rotational axes of a five-axis CNC machine tool. J Mech Eng 64:290–302

    Google Scholar 

  14. Dobosz M, Jankowski M, Mruk J (2019) Application of interference sensor of angular micro-displacement in measurements of machine rotational errors. Precis Eng 60:12–20

    Article  Google Scholar 

  15. Lai T, Peng X, Tie G, Liu J, Guo M (2017) High accurate squareness measurement squareness method for ultra-precision machine based on error separation. Precis Eng 49:15–23

    Article  Google Scholar 

  16. International Organization For Standardization (2002) ISO 230-6 Test code for machine tools - Part 6: Determination of positioning accuracy on body and face diagonals (Diagonal displacement tests)

  17. Chapman MAV (2003) Limitations of laser diagonal measurements. Precis Eng 27:401–406

    Article  Google Scholar 

  18. Ibaraki S, Hata T (2010) A new formulation of laser step diagonal measurement-three-dimensional case. Precis Eng 34:516–525

    Article  Google Scholar 

  19. Sun G, He G, Zhang D, Yao C, Tian W (2020) Body diagonal error measurement and evaluation of a multiaxis machine tool using a multibeam laser interferometer. Int J Adv Manuf Technol 107:4545–4559

    Article  Google Scholar 

  20. Yang S, Lee H, Lee K (2018) Face- and body-diagonal length tests using a double ball-bar for squareness errors of machine tools. Int J Precis Eng Manuf 19:1039–1045

    Article  Google Scholar 

  21. Kim T, Dunningham J, Burnett K (2005) Precision measurement scheme using a quantum interferometer. Phys Rev A - At Mol Opt Phys 72:1–4

    Article  Google Scholar 

  22. Hong C, Ibaraki S (2013) Non-contact R-test with laser displacement sensors for error calibration of five-axis machine tools. Precis Eng 37:159–171

    Article  Google Scholar 

  23. Wang W, Chen Z, Zhu Y, Yang H, Lu K, Shi G, Xiang K, Ju B (2020) Full-scale measurement of CNC machine tools. Int J Adv Manuf Technol 107(5–6):2291–2301

    Article  Google Scholar 

  24. Lamikiz A, López de Lacalle LN, Celaya A (2009) Machine Tool Performance and Precision. In: López de Lacalle LN, Lamikiz A (eds) Machine Tools for High Performance Machining. Springer, London, pp 219–260

  25. International Organization For Standardization (2020) ISO 10791-7 Test conditions for machining centers - Part 7: Accuracy of finished test pieces

  26. Fu M, Guan L, Wang L, Mo J, Zhao X (2021) Tool diameter optimization in S-shaped test piece machining. Adv Mech Eng 13:1–8

    Google Scholar 

  27. Ibaraki S, Sawada M, Matsubara A, Matsushita T (2010) Machining tests to identify kinematic errors on five-axis machine tools. Precis Eng 34:387–398

    Article  Google Scholar 

  28. Ibaraki S, Yoshida I (2017) A five-axis machining error simulator for rotary-axis geometric errors using commercial machining simulation software. Int J Autom Technol 11:179–187

    Article  Google Scholar 

  29. Ibaraki S, Yoshida I, Asano T (2019) A machining test to identify rotary axis geometric errors on a five-axis machine tool with a swiveling rotary table for turning operations. Precis Eng 55:22–32

    Article  Google Scholar 

  30. Chu W, Zhu S, Peng Y, Ding G (2011) Geometric error identification and compensation for rotation axes of five-axis machine tools. Adv Mater Res 338:786–791

    Article  Google Scholar 

  31. Wang Z, Li J (2017) A new decoupling measurement method of five-axis machine tools’ geometric errors based on cross grid encoder and DBB. Int Conf Mech Des Manuf Autom. https://doi.org/10.12783/dtetr/mdm2016/4944

  32. Chen D, Zhang S, Pan R, Fan J (2018) An identifying method with considering coupling relationship of geometric errors parameters of machine tools. J Manuf Process 36:535–549

    Article  Google Scholar 

  33. International Organization For Standardization (2008) ISO/ICE Guide 98-3 Uncertainty of measurement - Part 3: Guide to the expression of uncertainty in measurement

  34. International Organization For Standardization (2015) ISO 230-7, Test code for machine tools - Part 7: Geometric accuracy of axes of rotation

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Acknowledgements

We appreciate the invaluable expert comments and advice on the paper from all anonymous reviewers.

Funding

This work was supported by the Science Challenge Project of China [Grant No. TZ2018006-0202–01].

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Authors and Affiliations

  1. Center for Precision Engineering, Harbin Institute of Technology, Harbin, China

    Luqi Song, Xueshen Zhao, Qiang Zhang, Dequan Shi & Tao Sun

Authors
  1. Luqi Song
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  2. Xueshen Zhao
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  3. Qiang Zhang
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  4. Dequan Shi
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  5. Tao Sun
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Contributions

Luqi Song: methodology; validation; formal analysis; investigation; data curation; writing-original draft preparation; writing-review and editing. Xueshen Zhao: methodology, validation, formal analysis, investigation, data curation. Qiang Zhang: methodology investigation; investigation; project administration. Dequan Shi: conceptualization; methodology; formal analysis; investigation; supervision; project administration. Tao Sun: generation of project ideas; conceptualization; methodology; validation; investigation; writing-review and editing; project administration; funding acquisition.

Corresponding author

Correspondence to Tao Sun.

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Song, L., Zhao, X., Zhang, Q. et al. A geometric error measurement method for five-axis ultra-precision machine tools. Int J Adv Manuf Technol 126, 1379–1395 (2023). https://doi.org/10.1007/s00170-023-11181-y

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