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Correction of machining operations with the Total InertialSteering

Published online by Cambridge University Press:  22 September 2014

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Abstract

The Total Inertial Steering approach proposed in this paper can perform an optimumcorrection of the geometric deviations of the manufactured part with respect to itsdigital model, from the measured points on its surfaces. In the case of production bymachine tool numerical control, there exist a link between the tool offsets and deviationsof measured points. An incidence matrix which represents this link is obtained. In mostcases, this matrix is not square and therefore not invertible, because there are moremeasured points as correctors to adjust. The Gauss pseudo-inverse is used to calculate thevalues of corrections to be made to compensate for measured deviations. Tolerancesassociated with the surfaces must also be taken into account in the incidence matrix.However, when the same cutting tool machine two surfaces with different point values, theresulting solution favors the one with the highest number of points, at the expense of theother surface which can remain not conform towards its tolerance. This paper proposes astrategy to rebalance the correction surfaces, and this regardless of the number of pointsand tolerance of each surfaces. A relatively simple tutorial example is given in the paperto enable tracking calculations.

Type
Research Article
Copyright
© EDP Sciences 2014

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References

D. Denimal, M. Pillet, A. Sergent, “The adjustment and monitoring of freeform surfaces using inertial tolerancing”, Quality Assurance, January– March 2011
M. Pillet, Améliorer la productivité, déploiement industriel du tolérancement inertiel, EYROLLES, Editions d’Organisation, 2010, ISBN: 978-2-212-54754-2
S. Tichadou, O. Legoff, J.-Y. Hascoët, Quantification of machining and fixture dispersions for Geometrical manufacturing simulation, CIRP-CAT 2007
A. Sergent, H. Bui-Minh, H. Favrelière, D. Duret, S. Samper, F. Villeneuve, Identification of machining defects by small displacement torsor and form parameterization method, Paper Proposed at the IDMME-Virtual Concept 2010 International conference, Bordeaux, France, 2010
L. Zilong, E. Del Castillo, Setup adjustment under unknown process parameters and fixed cost, Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, Journal of statistical planning and inference, 2004
Del Castillo, E. Rong, Bianca P.M. Colosimo, An unifying view of some process adjustment methods, Department of Industry & Manufacturing Engineering, The Pennsylvania State University, University Park, PA 16802, Dipartimento di Meccanica, Politecnico di Milano, 2002
P. Rong, Statistical process adjustment methods for quality control in short-run manufacturing, Ph.D. Thesis in Industrial Engineering, Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, 2002
Grubbs, F.E., An optimum procedure for setting machines or adjusting processes, J. Quality Technol. 15, 186189 (1954) Google Scholar
Martin, P., Schneider, P., Dantan, J.-Y., Optimal adjustment of a machine tool for improving the geometrical quality of machined part, Int. J. Adv. Manuf. Technol. 26, 559564 (2005) CrossRefGoogle Scholar
Pairel, E., Goldschmidt, E., Vayre, B., Adragna, P.A., Pillet, M., COPILOT PROr: A full method for the steering of the machining, Int. J. Metrol. Qual. Eng. 2, 3944 (2011) CrossRefGoogle Scholar
E. Pairel, E. Goldschmidt, B. Vayre, B. Abdelhakim, M. Pillet, Process plans and manufacturing dimensions for the steering of machining: The Copilot-Pror methodology, 12th CIRP Conference on Computer Aided Tolerancing, Huddersfield, UK, April 2012
E. Goldschmidt, Gamme et cotation pour le réglage des machines-outils de décolletage, Ph.D. thesis, Université de Savoie, Annecy, France, 2009
Pillet, M., Pairel, É., Determination of an adjusting rule in the case of multi-criteria inertial piloting, Int. J. Metrol. Qual. Eng. 2, 5159 (2011) CrossRefGoogle Scholar
M. Pillet, É. Pairel, J.L. Maire, B. Abdelhakim, Différentes stratégies de filtrage en pilotage inertiel multicritères, CPI’2011, 2011
P. Bourdet, A. Clement, A study of optimal – criteria identification based on the small – displacement screw model, Ann. CIRP 37/1/1988, 1988