Statistical tolerance analysis of over-constrained mechanisms with form defects considering contact types

[+] Author and Article Information
Edoh Goka

Arts et Métiers-ParisTech, Université de Lorraine, LCFC, F-57000 Metz, France

Lazhar Homri

Arts et Métiers-ParisTech, Université de Lorraine, LCFC, F-57000 Metz, France

Pierre Beaurepaire

University of Clermont Auvergne, CNRS, SIGMA-Clermont, Institut Pascal, F-63000 Clermont Ferrand, France

Jean-Yves Dantan

Arts et Métiers-ParisTech, Université de Lorraine, LCFC, F-57000 Metz, France

1Corresponding author.

ASME doi:10.1115/1.4042018 History: Received July 03, 2018; Revised November 09, 2018


Tolerance analysis aims towards the verification impact of the individual tolerances on the assembly and functional requirements of a mechanism. The manufactured products have several types of contact and are inherent in imperfections, which often causes the failure of the assembly and its functioning. Tolerances are therefore allocated to each part of the mechanism in purpose to obtain an optimal quality of the final product. Three main issues are generally defined to realize the tolerance analysis of a mechanical assembly: the geometrical deviations modeling, the geometrical behavior modeling and the tolerance analysis techniques. In this paper, a method is proposed to realize the tolerance analysis of an over-constrained mechanical assembly with form defects by considering the contacts nature (fixed, sliding, and floating contacts) in its geometrical behavior modeling. Different optimization methods are used to study the different contact types. The overall statistical tolerance analysis of the over-constrained mechanical assembly is carried out by determining the assembly and the functionality probabilities based on optimization techniques combined with a Monte Carlo Simulation (MCS). An application to an over-constrained mechanical assembly is given at the end.

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