Skip to main content
Log in

Kinematic modeling and error sensitivity analysis for on-machine five-axis laser scanning measurement under machine geometric errors and workpiece setup errors

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

Abstract

On-machine scanning measurement of workpiece geometry has a strong advantage in its efficiency, compared to conventional discrete measurement using a touch-trigger probe. When a workpiece is rotated and tilted, position and orientation errors of the workpiece with respect to the machine’s rotary axes can be a significant contributor to the measurement error. Rotary axis geometric errors also influence the measurement error. To establish the traceability of on-machine measurement with workpiece rotation, this paper kinematically formulates their contribution to measured profiles. As a practical application example, this paper presents the measurement error assessment for an axis-symmetric part. Based on the present kinematic model, this paper compares error contributors to the cases (1) where an axis-symmetric part is placed concentric to the rotary axis, and (2) where it is placed away from the rotary axis.

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. Savio E, De Chiffre L, Schmitt R (2007) Metrology of freeform shaped parts. CIRP Ann Manuf Technol 56(2):810–835

    Article  Google Scholar 

  2. Schwenke H, Neuschaefer-Rube U, Pfeifer T, Kunzmann (2002) Optical methods for dimensional metrology in production engineering. CIRP Ann Manuf Technol 51(2):685– 699

    Article  Google Scholar 

  3. Shacham D (2008) New laser technology in turbine blade measurements. In: ASME 2008 9th Biennial conf. on engineering systems design and analysis, pp 575–578

  4. Nishikawa S, Ohno K, Mori M, Fujishima M (2014) Non-contact type on-machine measurement system for turbine blade, new production technologies in aerospace industry—5th machining innovations conference. Procedia CIRP 24:1–6

    Article  Google Scholar 

  5. Nisch S, Schmitt R (2010) Production integrated 3D measurements on large machine tools. In: Proc. of the large volume metrology conference. Chester, p 969

  6. Schmitt R, Peterek M, Morse E, Knapp W, Galetto M, Härtig F, Goch G, Hughes B, Forbes A, Estler W (2016) Advances in large-scale metrology—review and future trends. CIRP Ann Manuf Technol 65(2):643–665

    Article  Google Scholar 

  7. Mears L, Roth JT, Djurdjanovic D, Yang X, Kurfess T (2009) Quality and inspection of machining operations: CMM integration to the machine tool. J Manuf Sci Eng 131(5):051006

    Article  Google Scholar 

  8. Mutilba U, Gomez-Acedo E, Kortaberria G, Olarra A, Yagüe-Fabra J A (2017) Traceability on machine tool metrology: a review. Sensors 17(7):1605

    Article  Google Scholar 

  9. Takaya Y (2014) In-process and on-machine measurement of machining accuracy for process and product quality management: a review. Int J Autom Technol 8(1):4–19

    Article  Google Scholar 

  10. Schmitt R, Peterek M (2015) Traceable measurements on machine tools – thermal influences on machine tool structure and measurement uncertainty. Procedia CIRP 33:576– 580

    Article  Google Scholar 

  11. Acko B, Klobucar R, Acko M (2015) Traceability of in-process measurement of workpiece geometry. Procedia Eng 100:376– 383

    Article  Google Scholar 

  12. Viprey F, Nouira H, Lavernhe S, Tournier C (2016) Novel multi-feature bar design for machine tools geometric errors identification. Precis Eng 46:323–338

    Article  Google Scholar 

  13. ISO 15530-3:2011, Geometrical product specifications (GPS)—Coordinate measuring machines (CMM): technique for determining the uncertainty of measurement—Part 3: use of calibrated workpieces or measurement standards

  14. ISO/TS 15530-4:2008, Geometrical product specifications (GPS)—coordinate measuring machines (CMM): Technique for determining the uncertainty of measurement—Part 4: evaluating task-specific measurement uncertainty using simulation

  15. Hocken RJ, Simpson JA, Borchardt B, Lazar J, Reeve C, Stein P (1977) Three dimensional metrology. CIRP Ann Manuf Technol 26(1):403–408

    Google Scholar 

  16. Reshetov DN, Portman VT (1988) Accuracy of machine tools. ASME Press, New York

    Google Scholar 

  17. Abbaszaheh-Mir Y, Mayer JRR, Clotier G, Fortin C (2002) Theory and simulation for the identification of the link geometric errors for a five-axis machine tool using a telescoping magnetic ball-bar. Int J Prod Res 40 (18):4781–4797

    Article  MATH  Google Scholar 

  18. Inasaki I, Kishinami K, Sakamoto S, Sugimura N, Takeuchi Y, Tanaka F (1997) Shaper generation theory of machine tools—its basis and applications. Yokendo, Tokyo (in Japanese)

  19. Ibaraki S, Kimura Y, Nagai Y, Nishikawa S (2015) Formulation of influence of machine geometric errors on five-axis on-machine scanning measurement by using a laser displacement sensor. J Manuf Sci Eng 137:021013–1/11

    Article  Google Scholar 

  20. Ibaraki S, Nagai Y (2017) Formulation of the influence of rotary axis geometric errors on five-axis on-machine optical scanning measurement—application to geometric error calibration by “chase-the-ball” test. Int J Adv Manuf Technol 92:4263–4273

    Article  Google Scholar 

  21. ISO 230-7:2006, Test code for machine tools – Part 7: Geometric accuracy of axes of rotation

  22. ISO 230-1:2012, Test code for machine tools—Part 1: geometric accuracy of machines operating under no-load or quasi-static conditions

  23. 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(3):190–200

    Article  Google Scholar 

  24. Ibaraki S, Blaser P, Shimoike M, Takayama N, Nakaminami M, Ido Y (2016) Measurement of thermal influence on a two-dimensional motion trajectory using a tracking interferometer. CIRP Ann Manuf Technol 65(1):483–486

    Article  Google Scholar 

  25. ISO 1101:2017, Geometrical product specifications (GPS)—geometrical tolerancing—tolerances of form, orientation, location and run-out

  26. JCGM 100:2008, Evaluation of measurement data – Guide to the expression of uncertainty in measurement (GUM) (2008)

  27. Gebhardt M, Mayr J, Furrer N, Widmer T, Weikert S, Knapp W (2014) High precision grey-box model for compensation of thermal errors on 5-axis machine tools. CIRP Ann Manuf Technol 63(1):509–512

    Article  Google Scholar 

  28. Hong C, Ibaraki S (2012) Observation of thermal influence on error motions of rotary axes on a five-axis machine tool by static r-test. Int J Autom Technol 6(2):196–204

    Article  Google Scholar 

  29. Ibaraki S, Ota Y (2014) A machining test to calibrate rotary axis error motions of five-axis machine tools and its application to thermal deformation test. Int J Mach Tools Manuf 86:81–88

    Article  Google Scholar 

  30. Ibaraki S, Nagai Y, Otsubo H, Sakai Y, Morimoto S, Miyazaki Y (2015) R-test analysis software for error calibration of five-axis machine tools—application to a five-axis machine tool with two rotary axes on the tool side. Int J Autom Technol 9(4):387– 395

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Soichi Ibaraki.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ibaraki, S., Goto, S., Tsuboi, K. et al. Kinematic modeling and error sensitivity analysis for on-machine five-axis laser scanning measurement under machine geometric errors and workpiece setup errors. Int J Adv Manuf Technol 96, 4051–4062 (2018). https://doi.org/10.1007/s00170-018-1874-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-018-1874-4

Keywords

Navigation