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.
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References
ASME Y14.5.1M* (1994) Mathematical definition of dimensioning and tolerancing principles. The American Society of Mechanical Engineers, New York
BIPM, IEC, ISCC, ISO, IUPAC, IUPAP, OIML (1983) Guide to the Expression of Uncertainty in Measurement. ISO publication, Geneva
Box GEP, Draper NR (1987) Empirical model building and response surfaces. Wiley, New York
Dowling MM, Griffin PM, Tsui KL, Zhou C (1997) Statiscal issues in geometric feature inspection using coordinate measuring machines.Technometrics 39 (1), 3–24
Gleser LJ (1998) Assessing uncertainty in measurement.Statistical Science 13 (3), 277–290
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
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
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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
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DOI: https://doi.org/10.1007/BF02511447