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Thermal influences as an uncertainty contributor of the coordinate measuring machine (CMM)

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Abstract

Estimates of the measurement uncertainty are crucial, without which precision measurements are useless from a practical point of view. Dimensional compliance with geometric product specifications (GPS) plays a key role in decision-making in manufacturing engineering. Without rigorous uncertainty assessment, manufacturers risk making incorrect decisions. Coordinate measuring machine (CMM) measurements are suitable when complex measurement tasks of a workpiece must be made, such as measurements of positional tolerances or repetitive measurements. Here, we attempted to solve problems related to the thermal influences in the assessment of uncertainty in Coordinate Metrology. Task-specific experiments based on the identification of residual errors using a hole plate standard calibrated by Physikalisch-Technische Bundesanstalt (PTB) were performed to compare the measurement uncertainty results in the different temperature ranges. The thermal issues of CMMs include measurements of the temperature of the environment and CMM errors, estimation of the uncertainties of the thermal errors of the CMM, and reduction of the uncertainties related to thermal errors of CMMs. Computation of the thermal errors must account for environmental influences and internal heat sources of the CMM. Assessment of the uncertainty of thermal errors covers almost all factors related to the uncertainty of the CMM. The state-of-the-art technique for determining the uncertainty of the measurements is discussed.

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References

  1. Müller AM, Butzhammer L, Wohlgemuth F, Hausotte T (2020) Automated evaluation of the surface point quality in dimensional X-ray computed tomography. TM Tech. Mess. 87(2):111–121

  2. Cheng Y, Wang Z, Chen X, Li Y, Li H, Li H, Wang H (2019) Evaluation and optimization of task-oriented measurement uncertainty for coordinate measuring machines based on geometrical product specifications. Appl Sci 9(1):6

    Article  Google Scholar 

  3. Gąska A, Harmatys W, Gąska P, Gruza M, Gromczak K, Ostrowska K (2017) Virtual CMM-based model for uncertainty estimation of coordinate measurements performed in industrial conditions. Measurement 98:361–371

    Article  Google Scholar 

  4. Weckenmann A, Knauer M, Kunzmann H (1998) The influence of measurement strategy on the uncertainty of CMM-measurements. CIRP Ann 47(1):451–454

    Article  Google Scholar 

  5. Gapinski B, Rucki M (2008) The roundness deviation measurement with CMM. In 2008 IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement: 108–111

  6. Tung-Hsien H, Po-Yu C, Wen-Yuh J, Guan-Wu C, Ming-Shi W (2019) A geometric error measurement system for linear guideway assembly and calibration. Appl Sci 9:574. https://doi.org/10.3390/app9030574

    Article  Google Scholar 

  7. Zhu K, Chen H, Zhang S, Shi Z, Wang Y, Tan Y (2019) Frequency-shifted optical feedback measurement technologies using a solid-state microchip laser. Appl Sci 9:109. https://doi.org/10.3390/app9010109

    Article  Google Scholar 

  8. Wenwen L, Penghao H, Kuangchao F (2018) Comparison of current five-point cylindricity error separation techniques. Appl Sci 2018(8):1946. https://doi.org/10.3390/app8101946

    Article  Google Scholar 

  9. Camboulives M, Lartigue C, Bourdet P, Salgado J (2016) Calibration of a 3D working space by multilateration. Precis Eng 44:163–170

    Article  Google Scholar 

  10. (1998) Geometrical Product Specifications (GPS)–inspection by measurement of workpieces and measuring equipment—part 1: decision rules for proving conformance or non-conformance with specifications. ISO-14253-1: 1998 (E)

  11. Hocken RJ, Pereira PH (2016) Coordinate measuring machines and systems. CRC Press, Boca Raton

    Book  Google Scholar 

  12. Wilhelm RG, Hocken R, Schwenke H (2001) Task specific uncertainty in coordinate measurement. CIRP Ann 50(2):553–563

    Article  Google Scholar 

  13. ISO 10360-1:2000 (2000) Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—part 1: vocabulary. International Organization for Standardization, Geneva

    Google Scholar 

  14. ISO 10360-2:2009 (2009) Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—part 2: CMMs used for measuring size. International Organization for Standardization, Geneva

    Google Scholar 

  15. ISO 10360-3:2000 (2000) Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—part 3: CMMs with the axis of a rotary table as the fourth axis. International Organization for Standardization, Geneva

    Google Scholar 

  16. ISO 10360-4:2000 (2000) Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—part 4: CMMs used in scanning measuring mode. International Organization for Standardization, Geneva

    Google Scholar 

  17. ISO 10360-5:2010 (2010) Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—part 5: CMMs using single and multiple-stylus contacting probing systems. International Organization for Standardization, Geneva

    Google Scholar 

  18. ISO 10360-6:2001 (2001) Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—part 6: estimation of errors in computing Gaussian associated features. International Organization for Standardization, Geneva

    Google Scholar 

  19. Cuesta E, Alvarez B, Sanchez-Lasheras F, Gonzalez-Madruga D (2015) A statistical approach to prediction of the CMM drift behaviour using a calibrated mechanical artefact. Metrol Meas Syst 22(3):417–428

  20. Arenhart FA, Donatelli GD, Porath MC (2012) An experimental method for assessing the contribution of the production process variations to the task-specific uncertainty of coordinate measurements. Measurement 45(3):507–516

    Article  Google Scholar 

  21. Aggogeri F, Barbato G, Barini EM, Genta G, Levi R (2011) Measurement uncertainty assessment of coordinate measuring machines by simulation and planned experimentation. CIRP J Manuf Sci Technol 4(1):51–56

    Article  Google Scholar 

  22. Sładek J, Gąska A (2012) Evaluation of coordinate measurement uncertainty with use of virtual machine model based on Monte Carlo method. Measurement 45(6):1564–1575

    Article  Google Scholar 

  23. Arenhart FA, Baldo CR, Donatelli GD (2010) Evaluation of coordinate measurement processes in the Brazilian industry using calibrated workpieces. In IX International Conference on Coordinate Measuring Technique, Bielsko-Biala, Poland

  24. Mayr J, Jedrzejewski J, Uhlmann E, Alkan Donmez M, Knapp W, Härtig F, Wendt K, Moriwaki T, Shore P, Schmitt R, Brecher C, Würz T, Wegener K (2012) Thermal issues in machine tools. CIRP Ann 61(2):771–791

    Article  Google Scholar 

  25. (1995) Guide to the expression of uncertainty in measurement. International Organization for Standardization

  26. ISO/IEC 17025:1999 (1999) General requirements for the competence of testing and calibration laboratories

  27. QS-9000 (1998) Quality system requirements, Third Edition

  28. ISO/TS 16949:2002 (2002) Particular requirements for the application of ISO 9001:2000 for automotive production and relevant service part organizations

  29. ISO 10791-10 (2007) Test conditions for machining centres—part 10: evaluation of thermal distortion, Genf, Schwitzerland

  30. ISO 13041-8 (2004) Test conditions for numerically controlled turning machines and turning centres—part 8: evaluation of thermal distortions, Genf, Schwitzerland

  31. ISO 230-3 (2007) Test code for machine tools—part 3: determination of thermal effects, Genf, Schwitzerland

  32. Sładek J (2008) Metoda oceny dokładności pomiarów realizowanych redundantnymi systemami współrzędnościowymi (RSW) (method for accuracy assessment of measurements done with the use of redundant coordinate systems (RCS)) research project no. N505, 255935

  33. Jerzy A, Sładek JA (2016) Coordinate metrology. Springer Berlin Heidelberg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48465-4

    Book  Google Scholar 

  34. Leach R, Smith ST (2018) Basics of precision engineering. CRC Press, Boca Raton

  35. Bergman TL, Incropera FP, Lavine AS, DeWitt DP (2011) Fundamentals of heat and mass transfer. John Wiley & Sons, Inc., Hoboken

  36. Bryan J (1990) International status of thermal error research (1990). CIRP Ann 39(2):645–656

    Article  Google Scholar 

  37. Salsbury JG (1995) A simplified methodology for the uncertainty analysis of CMM measurements. Society of Manufacturing Engineers Indianapolis, IN, IQ95–155: 1–22

  38. ISO/TR 16015:2003 (2003) Geometrical product specifications (GPS)—systematic errors and contributions to measurement uncertainty of length measurement due to thermal influences. International Organization for Standardization, Geneva

    Google Scholar 

  39. ASME B89.4.1–1997 (1997) Methods for performance evaluation of coordinate measuring machines. American Society of Mechanical Engineers, New York

    Google Scholar 

  40. Chen W, Luo X, Su H, Wardle F (2015) An integrated system for ultra precision machine tool design in conceptual and fundamental design stage. Int J Adv Manuf Technol 84:5–8. https://doi.org/10.1007/s00170-015-7780-0

    Article  Google Scholar 

  41. Sartori S, Cresto PC, Di Ciommo M, Kancheva T, Marques D (1989) A method for the identification and correction of thermal deformations in a three coordinate measuring machine. VDI Ber 761:185–192

    Google Scholar 

  42. Doytchinov SP, Nicquevert B, Tonnellier X, Heather A, Modena M (2019) Thermal effects compensation and associated uncertainty for large magnet assembly precision alignment. Precis Eng 59:134–149. https://doi.org/10.1016/j.precisioneng.2019.06.005

    Article  Google Scholar 

  43. ASME 65 Prod. 13 American Society for Mechanical Engineers, New York

  44. Bryan JB (1968) International status of thermal error research. CIRP Ann 16:203–215

    Google Scholar 

  45. Kruth JP, Van Den Bergh C, Vanherck P (2001) Coorecting steady-state temperature influences on coordinate measuring machines. J Manuf Syst 19(6):365–374

    Article  Google Scholar 

  46. ASME B89.4.19–2006 (2006) Performance evaluation of laser-based spherical coordinate measurement systems. American Society of Mechanical Engineers, New York

    Google Scholar 

  47. Clarke TA, Wang X, Cross NR, Forbes AB, Fossati PM (1970) Performance verification for large volume metrology systems. WIT Trans Eng Sci 34

  48. Hansen HN, De Chiffre L (1997) A combined optical and mechanical reference artefact for coordinate measuring machines. CIRP Ann 46(1):467–470

    Article  Google Scholar 

  49. Kim SW, McKeown PA (1996) Measurement uncertainty limit of a video probe in coordinate metrology. CIRP Ann 45(1):493–496

    Article  Google Scholar 

  50. ASME.B89.4.22–2004 (2004) Methods for performance evaluation of articulated arm coordinate measuring machines. American Society of Mechanical Engineers, New York

    Google Scholar 

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Acknowledgements

Special thanks to Kostrikov A., the Acting Head of the Dimensional Laboratory of the National Scientific Centre “Institute of Metrology”, Ukraine, for generously helping in the experimental part of this research and for many helpful suggestions.

Funding

This research was financially supported by the National Science Foundation of China (No. 51765012).

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Correspondence to Meifa Huang.

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Mussatayev, M., Huang, M. & Beshleyev, S. Thermal influences as an uncertainty contributor of the coordinate measuring machine (CMM). Int J Adv Manuf Technol 111, 537–547 (2020). https://doi.org/10.1007/s00170-020-06012-3

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