Statistical tolerance analysis applied on overconstrained mechanisms with form deviations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Computational Design and Engineering Année : 2020

Statistical tolerance analysis applied on overconstrained mechanisms with form deviations

Résumé

One method for modeling geometric variations in hyperstatic (i.e. overconstrained) systems is to use sets of constraints. Different models have been developed in this way, e.g. domains, T-maps, and polytopes. In general, if the intersection of the contact constraints between two parts potentially in contact is nonempty, the parts can be assembled without interference, and their relative positions determined. In this study, the polytope method is used with a statistical approach to define the behavior of an assembly. In the first part, geometric variations including form deviations of individual parts are defined. The relations between these variations resulting from the architecture of a mechanism are then defined. In the second part, contact constraints are introduced and the general method to conform the constraints into double description polytopes is presented. The general process to simulate the compliance of the mechanism with respect to functional conditions is described. A failure rate is obtained for a simulated population of manufactured parts using the Monte Carlo method. In the third part, an application to a flange is described, an example from an industrial case study. We show how to take advantage of double description of polytopes when simulating the assembly and the misalignment of the two parts that make up the flange. Finally, we present our conclusions and prospects for future studies.

Dates et versions

hal-03107350 , version 1 (12-01-2021)

Identifiants

Citer

Doriane Gouyou, Denis Teissandier, Vincent Delos, Yann Ledoux. Statistical tolerance analysis applied on overconstrained mechanisms with form deviations. Journal of Computational Design and Engineering, 2020, 7 (3), pp.308-322. ⟨10.1093/jcde/qwaa026⟩. ⟨hal-03107350⟩
26 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More