This paper proposes a three-dimensional (3D) model on manufacturing toleran
cing for mechanical parts. The work presented relies on research conducted
at the LURPA on the computation of 3D tolerance chains for mechanisms. Star
ting from these works, the authors propose a formalization of the problem w
ithin the more specific context of manufacturing tolerances. Models of the
workpiece, the set-ups and the machining operations are provided. The main
originality is to model the machining set-up as a mechanism. The concept of
the small displacements torsor (SDT) is used to model the process planning
. It opens up the way for the 3D integration product/process because of the
similarities between the concepts used in both points of view. The first p
art recalls the principle of the modelling of surface variations with SDT a
s well as its application to the modelling of mechanisms. The second part i
ntroduces the use of the concept in the case of manufacturing tolerancing.
A third part shows the modelling of the problem with the help of an example
. At last, a detailed computer implementation is described.