Tolerance Analysis Using Jacobian-Torsor Model: Statistical and Deterministic Applications

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.