Statisical versus Deterministic Tolerance Analysis using Jacobian-Torsor Model

W. Ghie (Canada)


Tolerance, Jacobian, Torsor, Analysis, Deterministic, Statistical.


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.

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