Abstract
Our aim is to unify mathematically the specification and the metrological verification of a given geometrical object. The observed differences result from the fact that strictly geometrical parameters are used in CAD systems while in mechanical engineering distances are paramount. A new mathematical concept — “Near Surfaces” — will be defined. This concept enables specifications and metrological determination to be incorporated within a unified mathematical theory.
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References
Srinivasan V. (1999). A geometrical product specification language based on a classification of symmetry groups. Computer Aided Design, 31, 659–668.
Bourdet, P., & Clément, A. (1988). A study of Optima-criteria identification based on the small displacement screw model. CIRP Annals, 37(1), 503–510.
Bourdet, P., Mathieu, L., Lartigue, C., & Ballu, A. (1995). The concept of the small displacement torsor in metrology. In P. Ciarlini, M. G. Cox, F. Pavese & D. Richter (Eds), Advanced Mathematical Tools in Metrology 11 (pp. 110–122). Oxford, United Kingdom.
Clément, A., Rivière, A., & Serré, P. (1999). Keynote: Global Consistency of Dimensioning and Tolerancing. In F. van Houten & H. Kals (Eds), Global Consistency of Tolerances (pp. 1–26). Enschede, The Nederlands.
Clément, A., Rivière, A., Serré, P., & Valade, C. (1997). The TTRSs: 13 Constraints for Dimensioning and Tolerancing, In H. A. ElMaraghy (Eds), Geometric Design Tolerancing: Theories, Standards and Applications (pp. 122–129). Toronto, Ontario, Canada.
Farouki, R.T., & Rajan, V.T. (1988). On the numerical condition of algebraic curves and surfaces. 1. Implicit equations. Computer Aided Geometric Design, 5, 215–252.
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© 2002 Springer Science+Business Media Dordrecht
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Serré, P., Clément, A., Rivière, A. (2002). Formal Definition of Tolerancing in Cad and Metrology. In: Chedmail, P., Cognet, G., Fortin, C., Mascle, C., Pegna, J. (eds) Integrated Design and Manufacturing in Mechanical Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9966-5_25
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DOI: https://doi.org/10.1007/978-94-015-9966-5_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6157-7
Online ISBN: 978-94-015-9966-5
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