Due to the difficulty of modeling the manufacturing deviations reliably, th
e existing geometric models, to date, have only considered the exact descri
ption of parts and assemblies. Yet, the tolerance representation and propag
ation issues in assemblies are crucial to answer parallel design of product
and process queries. Many formal and informal methods have been developed.
However, most proved special cases of the ANSI Y14.5M-82 specification sta
ndard. Also, the descriptions provided in actual solid and feature based de
sign modelers are inadequate to ascertain a clear taxonomy of tolerance spe
cifications, neither do they help address the assembly tolerance analysis a
nd/or synthesis issues.
The paper purposes to discuss the tolerance representation schemes as well
as their underlying philosophies. Then, because tolerance analysis and tole
rance synthesis in assemblies are required, among other tasks, to assign fu
nctional tolerances, measure the manufacturability and the interchangeabili
ty of parts in assemblies, ease tolerance inspection and evaluate costs of
alternative assembly sequences, we shall assess deterministic and statistic
al methods.