Statistical Methods and Applications

, Volume 11, Issue 1, pp 83–94 | Cite as

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

  • Daniele Romano
  • Grazia Vicario
Statistical Applications


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.

Key words

Product quality tolerance inspection uncertainty CMM Monte Carlo simulation 


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Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  • Daniele Romano
    • 1
  • Grazia Vicario
    • 2
  1. 1.Dipartimento di Ingegneria MeccanicaUniversità di CagliariCagliariItaly
  2. 2.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly

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