This paper proposes a new method to estimate the process capability for a profile geometric tolerance as defined by the ASME Y14.5 standard. The novelty of the method is that it uses the known process capability of a given geometry to predict, using the order statistics theorem, new capabilities for different geometries of higher or lower complexity. By considering the geometrical complexity of mechanical parts, a manufacturing process may be capable (e.g., Cpk > 1.5) for parts with simple geometry and incapable (e.g., Cpk < 1) for parts with complex geometry. In the proposed model, the process capability becomes a mathematical function of both the statistical behavior of the process (e.g., expectation and variance) and the geometric complexity of manufactured surfaces. Three experimental case studies are presented to illustrate the usefulness and the validity of the developed model.
The Relationship Between Geometrical Complexity and Process Capability
Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received September 3, 2014; final manuscript received October 21, 2015; published online December 10, 2015. Assoc. Editor: Xiaoping Qian.
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Lépine, M. J., and Tahan, A. S. (December 10, 2015). "The Relationship Between Geometrical Complexity and Process Capability." ASME. J. Manuf. Sci. Eng. May 2016; 138(5): 051009. https://doi.org/10.1115/1.4031900
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