Skip to main content
Log in

Measurement uncertainty assessment of articulated arm coordinate measuring machine for length measurement errors using Monte Carlo simulation

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

Abstract

Precise dimensional measurements, predominantly through coordinate metrology, largely influence the quality control in manufacturing industries. Other than the standard coordinate measuring machines (CMMs), coordinate metrology also functions in conjunction with measurement systems utilizing structured light, imaging, laser triangulation, photogrammetry and computer tomography. An articulated arm coordinate measuring machine (AACMM) or portable CMM provides enhanced flexibility and diminished weight as compared to the conventional CMM. Periodic reverification of articulated arm CMM is essential to ascertain accurate and precise dimensional measurements. In the present experimental investigation, an articulated arm coordinate measuring machine has been verified as per ISO 10360–12:2016 using one-dimensional standard artefact (KOBA Step Gauge, 1220 mm). The measurement uncertainty estimation has been carried out using Monte Carlo Simulation (MCS) and compared with ISO GUM (law of propagation of uncertainties: LPU) outcomes. Established expanded uncertainties and measured mean values acquired from the two approaches were observed to be in reasonable concordance.

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

Similar content being viewed by others

Data availability

The data and materials that support the outcomes of this investigation are available from the corresponding author on reasonable request.

References

  1. Teoi AY, Anholon R, da Silva D, Quelhas OLG (2017) Critical factors for the dimensional management system (DMS) implementation in manufacturing industries. Int J Adv Manuf Technol 88:1053–1063. https://doi.org/10.1007/s00170-016-8824-9

    Article  Google Scholar 

  2. Moru DK, Borro DA (2020) Machine vision algorithm for quality control inspection of gears. Int J Adv Manuf Technol 106:105–123. https://doi.org/10.1007/s00170-019-04426-2

    Article  Google Scholar 

  3. Zhao HN, Yu LD, Jia HK, Li W, Sun JQ (2016) A new kinematic model of portable articulated coordinate measuring machine. Appl Sci 6:181. https://doi.org/10.3390/app6070181

    Article  Google Scholar 

  4. Cuesta E, Gonz´alez-Madruga D, Alvarez BJ, Barreiro J (2014) A new concept of feature-based gauge for coordinate measuring arm evaluation. Meas Sci Technol 25:065004. https://doi.org/10.1088/0957-0233/25/6/065004

    Article  Google Scholar 

  5. González-Madruga D, Cuesta E, Barreiro J, Fernández-Abia AI (2013) Application of a force sensor to improve the reliability of measurement with articulated arm coordinate measuring machines. Sensors 13:10430–10448. https://doi.org/10.3390/s130810430

    Article  Google Scholar 

  6. Mutilba U, Kortaberria G, Olarra A, Gutiérrez A, Gomez-Acedo E, Zubieta M (2013) Performance calibration of articulated arm coordinate measuring machine. Procedia Eng 63:720–727. https://doi.org/10.1016/j.proeng.2013.08.264

    Article  Google Scholar 

  7. Gao G, Zhang H, Wu X, Guo Y (2016) Structural parameter identification of articulated arm coordinate measuring machines MPE Article ID 4063046. https://doi.org/10.1155/2016/4063046

  8. Castro HFF (2008) Uncertainty analysis of a laser calibration system for evaluating the positioning accuracy of a numerically controlled axis of coordinate measuring machines and machine tools. Precis Eng 32(2):106–113. https://doi.org/10.1016/j.precisioneng.2007.05.001

    Article  Google Scholar 

  9. Rim C, Rim CM, Kim J, Chen G, Pak JS (2018) A calibration method of portable coordinate measuring arms by using artifacts. MAPAN-JMSI 34(3):1–11. https://doi.org/10.1007/s12647-018-0297-x

    Article  Google Scholar 

  10. Santolaria J, Majarena AC, Samper D, Brau A, Velázquez J (2014) Articulated arm coordinate measuring machine calibration by laser tracker multilateration Sci World J Article ID 681853 https://doi.org/10.1155/2014/681853

  11. Piratelli-Filho A, Lesnau GR (2009) Virtual spheres gauge for coordinate measuring arms performance test. Measurement 43:236–244. https://doi.org/10.1016/j.measurement.2009.10.002

    Article  Google Scholar 

  12. Patiño H, Gonzalez-Madruga D, Cuesta E, Alvarez B, Barreiro J (2014) Study of virtual features in the performance of coordinate measuring arm. Procedia Eng 69:433–441. https://doi.org/10.1016/j.proeng.2014.03.009

    Article  Google Scholar 

  13. Acero R, Santolaria J, Pueo M, Abad M (2016) Uncertainty estimation of an indexed metrology platform for the verification of portable coordinate measuring instruments. Measurement 82:202–220. https://doi.org/10.1016/j.measurement.2015.12.024

    Article  Google Scholar 

  14. Joubair A, Bonev IA (2015) Kinematic calibration of a six-axis serial robot using distance and sphere constraints. Int J Adv Manuf Technol 77(1):515–523. https://doi.org/10.1007/s00170-014-6448-5

    Article  Google Scholar 

  15. Guo Y, Yin SB, Ren Y, Zhu J, Yang S, Ye S (2015) A multilevel calibration technique for an industrial robot with parallelogram mechanism. Precis Eng 40:261–272. https://doi.org/10.1016/j.precisioneng.2015.01.001

    Article  Google Scholar 

  16. Yu L, Zhao H, Zhang W, Li W, Deng H, Song Y, Gu Y (2014) Development of precision measurement network of experimental advanced superconducting tokamak. Opt Eng 53:122406. https://doi.org/10.1117/1.oe.53.12.122406

    Article  Google Scholar 

  17. Denavit J, Hartenberg RS (1955) A kinematic notation for lower-pair mechanisms based on matrices. J Appl Mech 22:215–221. https://doi.org/10.1115/1.4011045

    Article  MathSciNet  MATH  Google Scholar 

  18. Li J, Yu LD, Sun JQ, Xia XJ (2013) A kinematic model for parallel- joint coordinate measuring machine. J Mech Robot 5(4): 044501–044501–4. https://doi.org/10.1115/1.4025121

  19. Shimojima K, Furutani R, Takamasu K, Araki K (2002) The estimation method of uncertainty of articulated coordinate measuring machine. IEEE Int Conf on Ind Technol 1:411–415. https://doi.org/10.1109/ICIT.2002.1189931

    Article  Google Scholar 

  20. El AS, Hennebelle F, Coorevits T, Vincent R, Fontaine JF (2018) Rapid and robust on-site evaluation of articulated arm coordinate measuring machine performance. Meas Sci Technol 29:115011. https://doi.org/10.1088/1361-6501/aade10

    Article  Google Scholar 

  21. El AS, Hennebelle F, Coorevits T, Vincent R, Fontaine JF (2019) Improvement of segmented bars for the verification of coordinate measuring arms. Meas Sci Technol 30:045006. https://doi.org/10.1088/1361-6501/ab0487

    Article  Google Scholar 

  22. Santolaria J, Brau A, Vel´azquez J, Aguilar JJ, (2010) A self-centering active probing technique for kinematic parameter identification and verification of articulated arm coordinate measuring machines. Meas Sci Technol 21:055101. https://doi.org/10.1088/0957-0233/21/5/055101

    Article  Google Scholar 

  23. El AS, Hennebelle F, Coorevits T, Vincent R, Fontaine JF (2020) Proposition of a periodic verification test for articulated arm coordinate measuring machines using a small 3D artefact. Measurement 154:107472. https://doi.org/10.1016/j.measurement.2020.107472

    Article  Google Scholar 

  24. JCGM 100: 2008 (2008) Evaluation of measurement data — guide to the expression of uncertainty in measurement, Bureau International Des Poids Et Mesures, France

  25. Antonio PF (2003) CMM uncertainty analysis with factorial design. Precis Eng 27(3):283–288. https://doi.org/10.1016/S0141-6359(03)00035-7

    Article  Google Scholar 

  26. Płowucha W, Jakubiec W (2014) Theory and practice of uncertainty evaluation of coordinate measurements. Key Eng Mater 613:344–353. https://doi.org/10.4028/www.scientific.net/kem.613.344

    Article  Google Scholar 

  27. Singh J, Kumaraswamidhas LA, Bura N, Sharma ND (2021) A Monte Carlo simulation investigation on the effect of the probability distribution of input quantities on the effective area of a pressure balance and its uncertainty. Measurement 172:108853. https://doi.org/10.1016/j.measurement.2020.108853

    Article  Google Scholar 

  28. JCGM 101: 2008 (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, Bureau International Des Poids Et Mesures, France

  29. Phillips S, Borchardt B, Sawyer D, Estler W, Eberhardt K, Levenson M, McClain M, Hopp T (1999) A constrained Monte Carlo Simulation method for the calculation of CMM measurement uncertainty. Precis Eng-J Int Soc Precis Eng Nanotechnol

  30. Phillips S, Borchardt B, Sawyer D, Estler W, Ward D, Eberhardt K, Levenson M, McClain M, Melvin, B, Hopp T, Shen Y (1997) The calculation of CMM measurement uncertainty via the method of simulation by constraints. Proceedings of American Society for Precision Engineering, Norfolk, VA

  31. Balsamo A, Ciommo MD, Mugno R, Rebaglia BI, Ricci E, Grella R (1999) Evaluation of CMM uncertainty through Monte Carlo simulations. CIRP Ann 48:425–428. https://doi.org/10.1016/S0007-8506(07)63218-1

    Article  Google Scholar 

  32. ISO 10360–12:2016 (2016) Geometrical product specifications (GPS) — acceptance and reverification tests for coordinate measuring systems (CMS) — Part 12: Articulated arm coordinate measurement machines (CMM)

  33. Dennis AS (1994) Uncertainties in dimensional measurements made at nonstandard temperatures. J Res Natl Inst Stand Technol 99:31–39

    Article  Google Scholar 

  34. Moona G, Sharma R, Kumar H (2017) Evaluation of uncertainty of measurement of shadow mask dot pitch using different approaches. T I Meas Control 40(7):2428–2435. https://doi.org/10.1177/0142331217707367

    Article  Google Scholar 

Download references

Acknowledgements

The authors are thankful to the Director, CSIR-National Physical Laboratory, India, for his continuous support.

Author information

Authors and Affiliations

Authors

Contributions

The corresponding author Girija Moona is responsible for conceptualizing, writing the paper and evaluating measurement uncertainty, using Law of Propagation of Uncertainties and Monte Carlo simulation techniques. Vinod Kumar has been involved in performing verification of the articulated arm CMM and provided the measurement data. Mukesh Jewariya and Harish Kumar were involved in evaluating the analysis part. Rina Sharma provided valuable inputs for error source identification for measurement uncertainty evaluation.

Corresponding author

Correspondence to Girija Moona.

Ethics declarations

Ethics approval

The authors declare that this manuscript will not be submitted elsewhere until the editorial process with JAMT is completed.

Consent to participate

Not applicable.

Consent for publication

All authors have given their consent to publish the manuscript.

Competing interests

The authors declare no competing interests.

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

Moona, G., Kumar, V., Jewariya, M. et al. Measurement uncertainty assessment of articulated arm coordinate measuring machine for length measurement errors using Monte Carlo simulation. Int J Adv Manuf Technol 119, 5903–5916 (2022). https://doi.org/10.1007/s00170-021-08416-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-021-08416-1

Keywords

Navigation