Abstract
Geometric parts of mechanical assembly are not manufactured precisely. Two uncertainty measures are especially interested for the defects representation: the distribution of the uncertainties that one piece can be manufactured at dimension X, and the likelihood that the assembly respects the functional constraints. This paper deals with the use of fuzzy logic for the representation of tolerances. This new method is an extension of the worst case and statistical kinematic analysis. It simplifies the equations of maximum likelihood which generally uses complex Gaussian distribution and is an easy understood representation of uncertainties. We treat the case of connecting rod — crank assembly as an example.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. Bouchon-Meunier, H. Nguyen, “Les incertitudes dans les systèmes intelligents”, Presse Universitaire de France, 1996
D. Dubois, H. Prade, Théorie des Possibilités, Masson, 1985 [Henn et al, 1994 ] V. Henn, J-C Bernard “Logique Floue et Circulation”, Université de Saint-Etienne, Octobre 1994
C. Lelu, M. Dahan, “Utilisation de la Logique Floue pour la modélisation des cotes de fabrication”, In the 3rd International Conference on Integrated Design and Manufacturing in Mechanical Engineering, Forum 2000 SCGM/CSME, June 2001
Observatoire Français des Techniques~Avancées, In Logique Floue, Masson, 1994
L. Zadeh, Fuzzy Sets, In Information and Control, 1965
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Lelu, C., Dahan, M. (2003). Representation of tolerances using fuzzy Logic. In: Bourdet, P., Mathieu, L. (eds) Geometric Product Specification and Verification: Integration of Functionality. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1691-8_6
Download citation
DOI: https://doi.org/10.1007/978-94-017-1691-8_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6342-7
Online ISBN: 978-94-017-1691-8
eBook Packages: Springer Book Archive