Reference : Théorie des erreurs de rectitude et de planéité

	Document type :	Reports : Internal report
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	To cite this reference:	http://hdl.handle.net/2268/28649

Title :	Théorie des erreurs de rectitude et de planéité
Language :	French
Alternative title :	[en] Theory of straightness and flatness error
Author, co-author :	Debongnie, Jean-François [Université de Liège - ULg > Département d'aérospatiale et mécanique > Méthodes de fabrication >]
Publication date :	Sep-2008
Publisher :	ULg/LTAS
Page number :	15
Report number :	LMF/D49
City :	Liège
Country :	Belgium
Keywords :	[en] Form errors ; straightness ; flatness ; Existence ; Unicity ; Characterization
Abstract :	[en] This report is focused on straightness and flatness errors, in a common frame. Starting with the framing of a compact of a 2-D or 3-D space by two parallel hyperplanes, it is first noted that the given compact may be replaced by its convex closure. It is then proved that the separation of the framing hyperplanes varies continuously with their common normal vector. From this follows that a minimal separation is reached for a given orientation of the hyperplanes. However, this optimal orientation is not necessary unique. An optimality criterium is obtained, which concerns the number and the position of the contact points of the given surfave with the framing hyperplanes. Finally, a direct method of obtaining the optimum is presented.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/2268/28649

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