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Geometric error identification for machine tools using a novel 1D probe system

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Abstract

Measuring and evaluating the geometric error of a linear axis periodically, is an essential operation in the day-to-day usage of a machine tool. In this paper, a system consisting of a novel one-dimension probe and a ball array is developed to fast estimate the geometric error a linear axis from the ball center deviations in three dimensions. The proposed 1D probe is assembled by an inductance micrometer and a simple fixture. Five measuring positions on the ball surface are selected to recognize the ball center offset caused by the geometric error. Then, an identification model is established to recognize the error at the ball center in the array. Moreover, a correction method is proposed to eliminate the installation error. It applies the least square method to form the virtual baseline by the measured ball centers, in order to eliminate the effect that resulted from the inaccuracy and the misalignment of the ball array during the manufacturing and setting, respectively. Then, the remaining part of the measured results is applied to evaluate the geometric error of the measured linear axis, including one positioning error and two straightness errors. Finally, a prototype system is developed to verify the correctness of the proposed 1D probe, while a measurement experiment is conducted on a machining center to verify the validity of the proposed method. The results indicate that the maximum absolute error among one positioning error and two straightness errors reach to 2.1 μm, 2.3 μm, and 1.6 μm, respectively, while the root mean square error, and the average absolute error are no more than 2.0 μm, when comparing with the results from the laser interferometer.

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All data generated or analyzed during this study are included in this article.

References

  1. Cheng Q, Zhao H, Zhao Y, Sun B, Gu P (2018) Machining accuracy reliability analysis of multi-axis machine tool based on Monte Carlo simulation. J Intell Manuf 29(1):191–209

    Article  Google Scholar 

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

    Article  Google Scholar 

  3. ISO 230-1 (2012) Test Code for Machine Tools-Part 1: Geometric accuracy of machines operating under no-load or quasi-static conditions. ISO, Geneva

    Google Scholar 

  4. Xiang S, Altintas Y (2016) Modeling and compensation of volumetric errors for five-axis machine tools. Int J Mach Tools Manuf 101:65–78

    Article  Google Scholar 

  5. Fu G, Zhang L, Fu J, Gao H, Jin Y (2018) F test-based automatic modeling of single geometric error component for error compensation of five-axis machine tools. Int J Adv Manuf Technol 94(9-12):4493–4505

    Article  Google Scholar 

  6. Chen B, Xu B, Yan L, Zhang E, Liu Y (2015) Laser straightness interferometer system with rotational error compensation and simultaneous measurement of six degrees of freedom error parameters. Opt Express 23(7):9052–9073

    Article  Google Scholar 

  7. Svoboda O (2006) Testing the diagonal measuring technique. Precis Eng 30(2):132–144

  8. Wu J, Zhang R, Wang R, Yao Y (2014) A systematic optimization approach for the calibration of parallel kinematics machine tools by a laser tracker. Int J Mach Tools Manuf 86:1–11

    Article  Google Scholar 

  9. Wang Z, Maropoulos P (2016) Real-time laser tracker compensation of a 3-axis positioning system—dynamic accuracy characterization. Int J Adv Manuf Technol 84(5-8):1413–1420

    Google Scholar 

  10. Ezedine F, Linares J, Sprauel J, Chaves-Jacob J (2016) Smart sequential multilateration measurement strategy for volumetric error compensation of an extra-small machine tool. Precis Eng 43:178–186

    Article  Google Scholar 

  11. Schwenke H, Franke M, Hannaford J (2005) Error mapping of CMMs and machine tools by a single tracking interferometer. CIRP Ann 54(1):475–479

    Article  Google Scholar 

  12. Muralikrishnan B, Phillips S, Sawyer D (2016) Laser trackers for large-scale dimensional metrology: a review. Precis Eng 44:13–28

    Article  Google Scholar 

  13. Gao W, Kim S, Bosse H, Haitjema H, Chen Y, Lu X, Knapp W, Weckenmann A, Estler W, Kunzmann H (2015) Measurement technologies for precision positioning. CIRP Ann 64(2):773–796

    Article  Google Scholar 

  14. Vogl G, Donmez M, Archenti A (2016) Diagnostics for geometric performance of machine tool linear axes. CIRP Ann 65(1):377–380

    Article  Google Scholar 

  15. Kreng V, Liu C, Chu C (1994) A kinematic model for machine tool accuracy characterization. Int J Adv Manuf Technol 9:79–86

    Article  Google Scholar 

  16. Choi J, Min B, Lee S (2004) Reduction of machining errors of a three-axis machine tool by on-machine measurement and error compensation system. J Mater Process Technol 155-156:2056–2064

    Article  Google Scholar 

  17. Zhang G, Ouyang R, Lu B, Hocken R, Veale R, Donmez A (1988) A displacement method for machine geometry calibration. CIRP Ann 37(1):515–518

    Article  Google Scholar 

  18. Bringmann B, Küng A, Knapp W (2005) A measuring artefact for true 3D machine testing and calibration. CIRP Annals-Manuf Technol 54(1):471–474

    Article  Google Scholar 

  19. Liebrich T, Bringmann B, Knapp W (2009) Calibration of a 3D-ball plate. Precis Eng 33(1):1–6

    Article  Google Scholar 

  20. Bi Q, Huang N, Sun C, Wang Y, Zhu L, Ding H (2015) Identification and compensation of geometric errors of rotary axes on five-axis machine by on-machine measurement. Int J Mach Tools Manuf 89:182–191

    Article  Google Scholar 

  21. Bringmann B, Knapp W (2006) Model-based ‘chase-the-ball’ calibration of a 5-axes machining center. CIRP Ann 55(1):531–534

    Article  Google Scholar 

  22. Bitar-Nehme E, Mayer J (2016) Thermal volumetric effects under axes cycling using an invar R-test device and reference length. Int J Mach Tools Manuf 105:14–22

    Article  Google Scholar 

  23. Hong C, Ibaraki S (2013) Non-contact R-test with laser displacement sensors for error calibration of five-axis machine tools. Precis Eng 37(1):159–171

    Article  Google Scholar 

  24. Chen J, Lin S, Zhou X, Gu T (2016) A ballbar test for measurement and identification the comprehensive error of tilt table. Int J Mach Tools Manuf 103:1–12

    Article  Google Scholar 

  25. Lee K, Yang S (2013) Measurement and verification of position-independent geometric errors of a five-axis machine tool using a double ball-bar. Int J Mach Tools Manuf 70:45–52

    Article  Google Scholar 

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Funding

This project is supported by National Natural Science Foundation of China (Grant No. 51405085), and Natural Science Foundation of Fujian Province (Grant No. 2018J01760).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, People’s Republic of China

    Jianxiong Chen, Shuwen Lin & Tianqi Gu

Authors
  1. Jianxiong Chen
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  2. Shuwen Lin
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  3. Tianqi Gu
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Contributions

Jianxiong Chen contributed to the conception of the study, performed the experiment, the data analyses and wrote the manuscript; Shuwen Lin helped perform the analysis with constructive discussions; Tianqi Gu contributed significantly to analysis and manuscript preparation.

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Correspondence to Jianxiong Chen.

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The authors declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that can be construed as influencing the position presented in, or the review of, the manuscript entitled, “Geometric error identification for machine tools using a novel 1D probe system”.

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Chen, J., Lin, S. & Gu, T. Geometric error identification for machine tools using a novel 1D probe system. Int J Adv Manuf Technol 114, 3475–3487 (2021). https://doi.org/10.1007/s00170-021-07093-4

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