Skip to main content
Log in

Inspecting geometric tolerances: Uncertainty analysis in position tolerances control on Coordinate Measuring Machines

  • Statistical Applications
  • Published:
Statistical Methods and Applications Aims and scope Submit manuscript

Abstract

Conformance to a specified part geometry is key to achieve product quality. Geometric tolerance control on Coordinate Measuring Machines is a critical issue as parsimony in the set of probed points dictated by economic considerations conflicts with the requirement of full field inspection mandated by tolerance standards. Evaluation of uncertainty originated by sampling errors takes therefore a high priority level. The case of position tolerance control on a hole axis and related uncertainty analysis is examined in the paper via Monte Carlo simulation. Results exhibit a remarkable uncertainty related to a number of steps involved in the control method. A comprehensive statistical analysis is shown to be required if risk of failure to reach the correct decision in assessing part conformance is to be kept under control.

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

  • ASME Y14.5.1M* (1994) Mathematical definition of dimensioning and tolerancing principles. The American Society of Mechanical Engineers, New York

    Google Scholar 

  • BIPM, IEC, ISCC, ISO, IUPAC, IUPAP, OIML (1983) Guide to the Expression of Uncertainty in Measurement. ISO publication, Geneva

    Google Scholar 

  • Box GEP, Draper NR (1987) Empirical model building and response surfaces. Wiley, New York

    MATH  Google Scholar 

  • Dowling MM, Griffin PM, Tsui KL, Zhou C (1997) Statiscal issues in geometric feature inspection using coordinate measuring machines.Technometrics 39 (1), 3–24

    Article  MATH  Google Scholar 

  • Gleser LJ (1998) Assessing uncertainty in measurement.Statistical Science 13 (3), 277–290

    Article  MATH  MathSciNet  Google Scholar 

  • Phillips SD, Eberhardt KR, Estler WT (1999) Measurement uncertainty and uncorrected bias. Proceedings of 1999 NCSL, Charlotte, NC, July, pp 831–845

  • Pukelsheim MF (1993) Optimal design of experiment. Wiley New York

    Google Scholar 

  • Trapet E, Franke M, Haertig F, Schwenke H, Wäldele F, Cox M, Forbes A, Delbressine F, Schellekens P, Trenk M, Meyer H, Moritz G, Guth T, Wanner N (1999) Traceability of coordinate measurements according to the method of the virtual measuring machine. Final Project Report MAT1-CT94-0076, PTB-Bericht (PTB-Report) F-35, Part 1 and 2, ISBN 3-89701-330-4

  • Vicario G, Barbato G (1999) Macchine di misura a coordinate: valutazione statistica dei parametri di forma. Giornata di studio su Valutazione della Qualità e Customer Satisfaction: il ruolo della Statistica, SIS, Bologna

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romano, D., Vicario, G. Inspecting geometric tolerances: Uncertainty analysis in position tolerances control on Coordinate Measuring Machines. Statistical Methods & Applications 11, 83–94 (2002). https://doi.org/10.1007/BF02511447

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02511447

Key words

Navigation