Comparison of Analysis Line and Polytopes Methods to Determine the Result of a Tolerance Chain

Comparaison de la méthode des droites d'analyse et des polytopes pour la détermination de la résultante d'une chaîne de cotes.

Laurent Pierre (1) , Bernard Anselmetti (1)

1 LURPA - Laboratoire Universitaire de Recherche en Production Automatisée

Functional tolerancing must ensure the assembly and the functioning of a mechanism. This paper compares two methods of tolerance analysis of a mechanical system: the method of "analysis lines" and the method of "polytopes". The first method needs a discretization of the ending functional surface according to various analysis lines placed on the outer-bound of the face and oriented along the normal of the surface. The second method uses polytopes. The polytopes are defined from the acceptable limits of the geometric deviations of parts and possible displacements between two parts. Minkowski sums and intersections polytopes are then carried out to take into account all geometric variations of a mechanism.

Mots clés: Functional tolerancing; tolerance analysis; Analysis line; Polytope; ISO standard of tolerancing

Domaines: Sciences de l'ingénieur [physics]

Laurent Pierre, Bernard Anselmetti. Comparison of Analysis Line and Polytopes Methods to Determine the Result of a Tolerance Chain. Journal of Computing and Information Science in Engineering, 2015, ⟨10.1115/1.4029049⟩. ⟨hal-01239248⟩