Abstract
The topical platforms of Computer Aided Design and Computer Aided Manufacturing (C.A.D/C.A.M) don’t manage the influence of geometric tolerances in the creation of manufacturing process of parts. The aim of this article is to present how a Tridimensional Dimension Chain model can intervene in process planning of machined part. The formulation of Tolerancing Analysis problem is used to study an assembly decomposed into two sub-sets : the machined part and the machine tools. With the « Proportioned Assemblies Clearance Volume (U.P.E.L) » model, we purpose a method to choose the solution which will lead to the least machining deviations. Equivalent mechanical joint between machined part and machine tools is an isostatic joint : six degrees of freedom are eliminated. This equivalent joint can be decomposed into six joints associated in parallel : six « punctual contacts ». We will not study the influence of « punctual contact » location on surface, but only the influence of Geometric Specifications. With the aid of composition rules of U.P.E.L (Union and Intersection), the optimal solution will been chosen. Our model is applicated to an example of machined part. A numerical simulation is presented and we will able to conclude about the best strategy to machine the part shown in our example.
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Bibliography
E. BALLOT, P. BOURDET, «Geometrical Behaviour Laws for Computer Aided Tolerancing», Proceedings of 4th C1RP Seminar on Computer Aided Tolerancing, pp. 143–153, Tokyo, 1995.
P. BOURDET, L. MATHIEU, C. LARTIGUE, A. BALLU, « The concept of the small displacement torsor in metrology », International Euroconference, Advanced Mathematical Tools in Metrology, Oxford, 1995.
D. BRUNIER-COULIN, «Mastering the development of large-scale engineering software with CAS.CADE/SF Part 1 and Part 2 », Engineering Data Newletter, editors Dr. Kais, Al. Timini, August-September 1994.
A. CLEMENT, P. BOURDET, «A Study of Optimal-Criteria Identification Based on the Small-Displacement Srew Model ».Annals of the CIRP Vol. 37/1/1988.
A. CLEMENT, A. RIVIERE, M. TEMMERMAN, « Cotation fonctionnelle des systèmes mécaniques », PYC édition, 1994.
A. CLEMENT, A. RIVIERE, P. SERRE, «A Declarative Information Model for Functional Requirements», Proceedings of 4th CIRP Seminar on Computer Aided Tolerancing, pp. 1–19, Tokyo, 1995.
A. CLEMENT, P. LE PIVERT, A. RIVIERE, « Modélisation des procédés d’usinage-Simulation 3D réaliste », Proceedings ofIDMME96, pp. 355–364, Ecole Centrale de Nantes,1996.
Y. COUETARD, D. TE1SSANDIER, « A Tolerancing modes synthesis: Proportioned assembly clearance volume». Proceedings of 3rd CIRP Seminar on Computer Aided Tolerancing, Eyrolles, pp. 157–170, 1993.
D. FAINGUELERNT, R. WEILL, « Computer-Aided Tolerancing and Dimensioning in Process Planning ».Annals of CIRP, Vol. 35/1/1986.
M. GIORDANO, D. DURET, « Clearance Space and Deviation Space, Application to three-dimensional chains of dimensions and positions », Proceedings of 3rd CIRP Seminar on Computer Aided Tolerancing, Eyrolles, pp. 179–196, 1993.
S. H. HUANG, H-C. ZHANG, « Tolerance Analysis in Setup Planning for Rotational Parts », Journal of Manufacturing Systems, Vol. 15, n∘5, pp. 340–350, 1996.
H. PARIS, D. BRISSAUD, « Modélisation d’un produit: les entités de prise de pièce dans la vue du métier usinage », Proceedings ofIDMME96, pp. 847–856, Ecole Centrale de Nantes, 1996.
A. A. G. REQUICHA, « Toward a theory of geometric tolerancing », The International Journal of Robotics Research, Vol. 2, n∘4, pp. 45–60, 1983.
R. SODHI, J. U. TURNER, « Relative positioning of variational part models for design analysis », Computer Aided Design, Vol. 26, n∘5, pp. 366–378, 1994.
D. TEISSANDIER, «L’Union Pondérée d’espaces de Liberté: un nouvel outil pour la cotation fonctionnelle tridimensionnelle », PhD Thesis, Laboratoire de Mécanique Physique-Université Bordeaux I, 1995.
D. TEISSANDIER, Y. COUETARD, A. GERARD, P. CENTA, F. LE BRETON « Three-dimensional Functional Tolerancing with Proportioned Assemblies Clearance Volume (U.P.E.L: Unions Pondérées d’Espaces de Liberté) », ASME Third Biennal Joint Conference on Engineering Systems Design & Analysis, Montpellier (France), July 1-4, 1996.
J. U. TURNER, « A Feasability Space Appoach for Automated Tolerancing », Journal of Engineering for Industry, Vol. 115, pp. 341–346, 1993.
A. WIRTZ, « Vectorial Tolerancing A Basic Element for Quality Control », Proceedings of 3rd CIRP Seminar on Computer Aided Tolerancing, Eyrolles, pp.115–228, 1993.
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Teissandier, D., Couétard, Y., Gérard, A. (1998). Three-dimensional Functional Tolerancing with Proportioned Assemblies Clearance Volume (U.P.E.L : Unions Pondérées d’Espaces de Liberté) : application to setup planning. In: ElMaraghy, H.A. (eds) Geometric Design Tolerancing: Theories, Standards and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5797-5_13
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DOI: https://doi.org/10.1007/978-1-4615-5797-5_13
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