Statistical versus deterministic tolerance analysis using Jacobian-Torsor model

Authors:
Walid Ghie
Affiliations:
Université du Québec en Abitibi-Témiscamingue, Rouyn-Noranda, Qc, Canada
Venue:
MS '08 Proceedings of the 19th IASTED International Conference on Modelling and Simulation
Year:
2008

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Abstract

In industry, the current practice concerning geometrical specifications for mechanical parts is to include both dimensions and tolerances. The objective of these specifications is to describe a class of functionally acceptable mechanical parts that are geometrically similar. To ensure that their functionality in respected during, assembly designers have to apply tolerance analysis. A model based on either worst-case or statistical type analysis may be used. This paper explains both types using the Jacobian-Torsor unified model. For statistical tolerance analysis we consider Monte Carlo simulation and for the worst case type we consider arithmetic intervals. Although the numerical example presented is for a three-part assembly, the method used is capable of handling three-dimensional geometry.