Simulating the Respect of a Functional Condition in a Mechanical System with Mobilities

Geometric tolerance analysis with sets of constraints is an issue to address to model over-constrained architectures. This article is based on the implementation of sets of constraints with prismatic polyhedra. The conformity of a mechanical system with respect to a functional condition is formalized by the inclusion of a resulting polyhedron in a functional polyhedron. After giving the definition of a functional condition, the general inclusion method is presented. An example illustrates the inclusion conditions.