Skip to main content
Log in

Self-calibration of rotary axis and linear axes error motions by an automated on-machine probing test cycle

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

Abstract

Efficient, precise and automated in-process calibration schemes are essential to improve the accuracy and productivity of five-axis machine tools. This paper presents a new calibration approach, which combines an on-machine measurement cycle and self-calibration techniques, to evaluate the position errors and the error motions of a rotary axis using a touch trigger probe and an uncalibrated cylindrical artefact. This significantly reduces the downtime of machine tools required for the calibration process. In contrast to many common calibration strategies for rotary axes of five-axis machine tools, the presented self-calibration concept does not neglect the positioning errors of the linear axes when identifying the position errors and the error motions of the rotary axis. The self-calibration procedure is able to separate the positioning errors of the linear axes in radial direction, and the radial error motions and the position errors of a rotary axis, as well as the errors related to the uncalibrated artefact. This error separation is realized by a test cycle consisting of four tests in which the measurements are conducted by particular axis movements. Furthermore, an uncertainty analysis of the self-calibration concept is conducted to visualize the uncertainty propagation within the mathematical model. The self-calibration procedure is analyzed by an experimental evaluation, which includes a comparison between the results of the self-calibration approach and an R-Test. This comparison shows that the results of both measurement procedures are consistent.

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
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. ISO 10791-2:2001, Test conditions for machining centres - Part 2: Geometric tests for machines with vertical spindle or universal heads with vertical primary rotary axis, International Organization for Standardization ISO, Geneva, Switzerland

  2. ISO 230-7:2015, Test Code for Machine Tools - Part 7: Geometric accuracy of axes of rotation, International Organization for Standardization ISO, Geneva, Switzerland

  3. Bringmann B, Knapp W (2006) Model-based ‘Chase-the-Ball’ calibration of a 5-axes machining center. CIRP Ann Manuf Technol 55(1):531–534. https://doi.org/10.1016/S0007-8506(07)60475-2

    Google Scholar 

  4. Bringmann B, Knapp W (2009) Machine tool calibration: geometric test uncertainty depends on machine tool performance. Precis Eng 33(4):524–529. https://doi.org/10.1016/j.precisioneng.2009.02.002

    Google Scholar 

  5. Erkan T, Mayer JRR, Dupont Y (2011) Volumetric distortion assessment of a five-axis machine by probing a 3D reconfigurable uncalibrated master ball artefact. Precis Eng 35(1):116–125. https://doi.org/10.1016/j.precisioneng.2010.08.003

    Google Scholar 

  6. Evans CJ, Hocken RJ, Estler WT (1996) Self-calibration: reversal, redundancy, error separation, and ‘absolute testing’. CIRP Ann Manuf Technol 45(2):617–634. https://doi.org/10.1016/S0007-8506(07)60515-0

    Google Scholar 

  7. Gao W, Kiyono S, Sugawara T (1997) High-accuracy roundness measurement by a new error separation method. Precis Eng 21(97):123–133. https://doi.org/10.1016/S0141-6359(97)00081-0

    Google Scholar 

  8. Gebhardt M (2014) Thermal behaviour and compensation of rotary axes in 5-axis machine tools. ETH Zurich

  9. Guenther A, Stȯbener D, Goch G (2016) Self-calibration method for a ball plate artefact on a CMM. CIRP Ann Manuf Technol 65(1):503–506. https://doi.org/10.1016/j.cirp.2016.04.080

    Google Scholar 

  10. Ibaraki S, Iritani T, Matsushita T (2012) Calibration of location errors of rotary axes on five-axis machine tools by on-the-machine measurement using a touch-trigger probe. Int J Mach Tools Manuf 58:44–53. https://doi.org/10.1016/j.ijmachtools.2012.03.002

    Google Scholar 

  11. Ibaraki S, Ota Y (2013) Error map construction for rotary axes on five-axis machine tools by on-the-machine measurement using a touch-trigger probe. Int J Autom Technol 8(1):20–27. https://doi.org/10.1016/j.ijmachtools.2013.01.001

    Google Scholar 

  12. Ibaraki S, Ota Y (2014) A machining test to evaluate geometric errors of five-axis machine tools with its application to thermal deformation test. Procedia CIRP 14:323–328. https://doi.org/10.1016/j.procir.2014.03.109

    Google Scholar 

  13. Ibaraki S, Knapp W (2015) Indirect measurement of volumetric accuracy for three-axis and five-axis machine tools a review 44(23). https://doi.org/10.3929/ETHZ-B-000225616

  14. JCGM (2008) Evaluation of measurement data—guide to the expression of uncertainty in measurement. Int Organ Stand Geneva 50:134

    Google Scholar 

  15. Kniel K, Hȧrtig F, Osawa S, Sato O (2009) Two highly accurate methods for pitch calibration. Measurement Science and Technology 20(11). https://doi.org/10.1088/0957-0233/20/11/115110

  16. Lee KI, Yang SH (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. https://doi.org/10.1016/j.ijmachtools.2013.03.010

    Google Scholar 

  17. Lu X, Jamalian A (2011) A new method for characterizing axis of rotation radial error motion: part 1. Two-dimensional radial error motion theory. Precis Eng 35(1):73–94. https://doi.org/10.1016/j.precisioneng.2010.08.005

    Google Scholar 

  18. Lu X, Jamalian A, Graetz R (2011) A new method for characterizing axis of rotation radial error motion: part 2. Experimental results. Precis Eng 35(1):95–107. https://doi.org/10.1016/j.precisioneng.2010.08.006

    Google Scholar 

  19. Mayer JRR (2012) Five-axis machine tool calibration by probing a scale enriched reconfigurable uncalibrated master balls artefact. CIRP Ann Manuf Technol 61(1):515–518. https://doi.org/10.1016/j.cirp.2012.03.022

    Google Scholar 

  20. Mayer JRR, Rahman MM, Los A (2015) An uncalibrated cylindrical indigenous artefact for measuring inter-axis errors of a five-axis machine tool. CIRP Ann Manuf Technol 64(1):487–490. https://doi.org/10.1016/j.cirp.2015.04.015

    Google Scholar 

  21. Nafi A, Mayer JRR, Wozniak A (2011) Novel CMM-based implementation of the multi-step method for the separation of machine and probe errors. Precis Eng 35(2):318–328. https://doi.org/10.1016/j.precisioneng.2010.11.007

    Google Scholar 

  22. Osawa S, Busch K, Franke M, Schwenke H (2005) Multiple orientation technique for the calibration of cylindrical workpieces on CMMs. Precis Eng 29(1):56–64. https://doi.org/10.1016/j.precisioneng.2004.04.006

    Google Scholar 

  23. Rahman MM, Mayer JRR (2015) Five axis machine tool volumetric error prediction through an indirect estimation of intra- and inter-axis error parameters by probing facets on a scale enriched uncalibrated indigenous artefact. Precis Eng 40:94–105. https://doi.org/10.1016/j.precisioneng.2014.10.010

    Google Scholar 

  24. Wang Q, Miller J, Von freyberg A, Steffens N, Fischer A, Goch G (2018) Error mapping of rotary tables in 4-axis measuring devices using a ball plate artifact. CIRP Ann 67(1):559–562. https://doi.org/10.1016/j.cirp.2018.04.005

    Google Scholar 

  25. Weikert S, Knapp W (2004) R-test, a new device for accuracy measurements on five axis machine tools. CIRP Ann Manuf Technol 53(1):429–432. https://doi.org/10.1016/S0007-8506(07)60732-X

    Google Scholar 

  26. Wiessner M, Blaser P, Böhl S, Mayr J, Knapp W, Wegener K (2018) Thermal test piece for 5-axis machine tools. Precis Eng 52:407–417

    Google Scholar 

  27. Xiang S, Yang J (2014) Using a double ball bar to measure 10 position-dependent geometric errors for rotary axes on five-axis machine tools. Int J Adv Manuf Technol 75(1-4):559–572. https://doi.org/10.1007/s00170-014-6155-2

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank Prof. Konrad Wegener, Prof. Atsushi Matsubara and Dr. Josef Mayr for their support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nico Zimmermann.

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

Zimmermann, N., Ibaraki, S. Self-calibration of rotary axis and linear axes error motions by an automated on-machine probing test cycle. Int J Adv Manuf Technol 107, 2107–2120 (2020). https://doi.org/10.1007/s00170-020-05105-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-020-05105-3

Keywords

Navigation