[en] Owing to the fact that a correct evaluation of form errors is particularly difficult by the classical ways, it seems more efficient to develop numerical algorithms from 3D measures. Several methods are described, including direct and iterative ones. A new method is proposed, which is based on Lp-norms and a specialized algorithm. It proved to be the most effective and robust one in every studied application. Another problem which is seldom studied, concerns the sensibility of form errors to measure errors. A theory is presented which leads to a very simple result. [fr] Partant de la considération du fait qu'il est très malaisé de déterminer les erreurs de forme par les procédures métrologiques classiques, on s'attache à décrire diverses méthodes de calcul de ces erreurs à partir de mesures tridimensionnelles. Diverses méthodes sont proposées, dont des méthodes directes et des méthodes itératives. On présente en particulier une méthode nouvelle, fondée sur les normes d'ordre p, qui, dans toutes les applications étudiées, s'est révélée très rapide et très stable. On aborde ensuite le problème raremenmt étudié de la sensibilité des erreurs de forme aux imprécisions de mesure, pour lequel un résultat particulièrement simple est obtenu.
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Masset, Luc ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
French
Title :
Sur l'évaluation des défauts de forme à partir de mesures tridimensionnelles
G. Goch, Efficient multi-purpose algorithm for approximation and alignment problems in coordinate measurement techniques, CIRP Annals, vol. 39/1, pp. 553-556, 1990
A. Ballu, P. Bourdet, L. Mathieu, The processing of measured points in coordinate metrology in agreement with the definition of standardized specifications, CIRP Annals, vol. 40/1, pp. 491-494, 1991
J.A. Nelder, R. Mead, A simplex method for function minimization, Computer Journal, vol 7, pp. 308-313, 1965
P. Pauly, Etablissement d'algorithmes de calcul d'erreurs de forme et de position, Mémoire de fin d'études, Université de Liège, 1996
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