Form errors; circularity; existence; unicity; characterization
Abstract :
[en] This report gives the theory of the circularity error, as defined by ISO-norms, that is, the minimum of the radius difference between two concentric circles that enclose the measured curve. The common center of the optimal pair of circles being called the best center, the question of its existence is fully discussed. It is then proved that this problem is equivalent to the research of a circle which is the best approximation of the given curve by respect of a uniform norm. A characterization of the best center is developed, from which the unicity of the best center is proved.
Disciplines :
Mechanical engineering
Author, co-author :
Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication
Language :
French
Title :
Théorie de l'erreur de circularité
Alternative titles :
[en] Theory of the circularity error
Publication date :
August 2008
Publisher :
ULg/LTAS, Liège, Belgium
Report number :
LMF/D48
Number of pages :
26
Commentary :
Adjuvant utile aux méthodes numériques de calcul de la circularité, dans la mesure où la caractérisation de l'optimum permet de vérifier la plausibilité des résultats numériques.
