Measurement models - theory and practice of uncertainty evaluation of geometrical deviation measurements

Authors

  • Mirosław Wojtyła University of Bielsko-Biała, Laboratory of Metrology, Willowa 2, 43-309 Bielsko-Biała, Poland
  • Wojciech Płowucha University of Bielsko-Biała, Laboratory of Metrology, Willowa 2, 43-309 Bielsko-Biała, Poland

DOI:

https://doi.org/10.24425/mms.2025.154671

Abstract

The publication provides a critical analysis of fundamental documents concerning the determination of measurement uncertainty from the perspective of the machinery industry. The requirements contained in the documents JCGM 104, JCGM 100, and JCGM 101 were compared with important documents used in geometrical measurements, particularly with EA-4/02, ISO 14253-2, ISO/TS 15530-1, ISO 15530-3, ISO/TS 15530-4, and VDI/VDE 2617-11. Significant differences between the documents analysed, both terminological and interpretative, were highlighted. The analysis was performed in the sequence of stages for determining measurement uncertainty: formulation, propagation, and summarizing. Special attention was paid to the problem of defining the measurement model and the insufficient reference to the measurement model in the analysed documents. Attention was drawn to the wide range of characteristics measured in the machinery industry, such as linear and angular dimensions and form, orientation, position, and runout deviations, as well as the wide range of measurement equipment used, from simple instruments like callipers, micrometers, and mechanical dial gauges, to coordinate measuring machines and measurement systems. The current approach to the uncertainty of coordinate measurements, including the new possibility of modelling coordinate measurement, was discussed.

References

[1] ISO/IEC Guide 99:2007 International vocabulary of metrology. Basic and general concepts and associated terms (VIM).

[2] ISO 17025:2017 General requirements for the competence of testing and calibration laboratories.

[3] ISO 14253-1:2017 Geometrical product specifications (GPS). Inspection by measurement of workpieces and measuring equipment. Part 1: Decision rules for verifying conformity or nonconformity with specifications.

[4] IATF 16949:2016 Quality management system requirements for automotive production and relevant service parts organisation.

[5] ISO 1938-1:2015 Geometrical product specifications (GPS). Dimensional measuring equipment. Part 1: Plain limit gauges of linear size.

[6] ISO 1502:1996 ISO general-purpose metric screw threads. Gauges and gauging.

[7] ISO 1119:2011 Geometrical product specifications (GPS). Series of conical tapers and taper angles.

[8] ISO 14405-1:2011 Geometrical product specifications (GPS). Dimensional tolerancing. Part 1: Linear Sizes.

[9] ISO 14405-2:2011 Geometrical product specifications (GPS). Dimensional tolerancing. Part 2: Dimensions other than linear sizes.

[10] ISO 14405-3:2016 Geometrical product specifications (GPS). Dimensional tolerancing. Part 3: Angular sizes).

[11] ISO 1101:2017 Geometrical product specifications (GPS). Geometrical tolerancing. Tolerances of form, orientation, location and run-out.

[12] JCGM 104:2009 Evaluation of measurement data. An introduction to the “Guide to the expression of uncertainty in measurement” and related documents.

[13] JCGM 100:2008 Evaluation of measurement data. Guide to the expression of uncertainty in measurement.

[14] JCGM 101:2008 Evaluation of measurement data. Supplement 1 to the “Guide to the expression of uncertainty in measurement”. Propagation of distributions using a Monte Carlo method.

[15] JCGM 102:2011 Evaluation of measurement data. Supplement 2 to the “Guide to the expression of uncertainty in measurement”. Extension to any number of output quantities.

[16] JCGM GUM-6:2020 Guide to the expression of uncertainty in measurement. Part 6: Developing and using measurement models.

[17] EA-4/02 M:2022 Evaluation of the uncertainty of measurement in calibration. European co-operation for Accreditation, April 2022 rev03.

[18] ISO 14253-2:2011 Geometrical product specifications (GPS). Inspection by measurement of workpieces and measuring equipment. Part 2: Guidance for the estimation of uncertainty in GPS measurement, in calibration of measuring equipment and in product verification.

[19] ISO/TS 15530-1:2013 Geometrical product specifications (GPS). Coordinate measuring machines (CMM): Technique for determining the uncertainty of measurement Part 1: Overview and metrological characteristics.

[20] 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.

[21] 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.

[22] VDI/VDE 2617-11 Accuracy of coordinate measuring machines. Characteristics and their checking. Determination of the uncertainty of measurement for coordinate measuring machines using uncertainty budgets.

[23] Project Consortium. „Publishable Summary for 17NRM03 Eucom Standards for the Evaluation of the Uncertainty of Coordinate Measurements in Industry”. Zenodo, 12.04.2019. https://doi.org/10.5281/zenodo.3628345

[24] Godina, A., & Acko, B. (2014). Measurement uncertainty analysis for calibration of gauge blocks. Procedia Engineering, 69, 191-198. https://doi.org/10.1016/j.proeng.2014.02.220

[25] ISO 3611:2010 Geometrical product specifications (GPS). Dimensional measuring equipment: Micrometers for external measurements. Design and metrological characteristics.

[26] Płowucha, W., Jakubiec, W., & Rosner, P. (2017). Evaluation of measurement uncertainty - Monte Carlo method. Mechanik, 12, 1152-1154. https://doi.org/10.17814/mechanik.2017.12.195

[27] ISO 10360-2:2009 Geometrical product specifications (GPS). Acceptance and reverification tests for coordinate measuring machines (CMM). Part 2: CMMs used for measuring linear dimensions.

[28] Hocken, R. J., & Pereira, P. H. (Eds.). (2011). Coordinate measuring machines and systems (2nd ed.). CRC Press.

[29] Forbes, A. (2018). Uncertainties associated with position, size and shape for point cloud data. Journal of Physics Conference Series, 1065, 142023. https://doi.org/10.1088/1742-6596/1065/14/142023

[30] Trapet, E., Franke, M., Hartig, F., Schwenke, H., Wäldele, F., Cox, M., Forbes, A., Delbressine, F., Schellekens, P., Trenk, M., Meyer, H., Moritz, G., Guth, Th., Wanner, N. (1999). Traceability of Coordinate Measurements According to the Method of the Virtual Measuring Machine. Part 2 of the Final Report Project MAT1-CT94-0076, Braunschweig.

[31] Gąska, A., Harmatys, W., Gąska, P., Gruza, M., Gromczak, K., & Ostrowska, K. (2016). Virtual CMM-based model for uncertainty estimation of coordinate measurements performed in industrial conditions. Measurement, 98, 361-371. https://doi.org/10.1016/j.measurement.2016.12.027

[32] Płowucha, W. (2018). Point-straight line distance as model for uncertainty evaluation of coordinate measurement. Measurement, 135, 83-95. https://doi.org/10.1016/j.measurement.2018.11.008

[33] Płowucha, W. (2020). Point-plane distance as model for uncertainty evaluation of coordinate measurement. Metrology and Measurement Systems, 625-639. https://doi.org/10.24425/mms.2020.134843

[34] ISO 17450-1:2011 Geometrical product specifications (GPS). General concepts. Part 1: Model for geometrical specification and verification.

[35] ISO/IEC Guide 98-4:2012 Uncertainty of measurement. Role of measurement uncertainty in conformity assessments.

[36] ISO/TR 16015:2003 Geometrical product specifications (GPS). Systematic errors and contributions to measurement uncertainty of length measurement due to thermal influences.

Downloads

Published

2025-09-30

How to Cite

Wojtyła, Mirosław, and Wojciech Płowucha. “Measurement Models - Theory and Practice of Uncertainty Evaluation of Geometrical Deviation Measurements”. Metrology and Measurement Systems, vol. 32, no. 3, Sept. 2025, pp. art. no. 2, 1-21, doi:10.24425/mms.2025.154671.

Issue

Section

Articles