Abstract
Geometric computations in Computer Aided Design (CAD) have enjoyed decades of success. Geometric intersections of mechanical primitives are ubiqitous phenomena with a relevance for geometric dimensioning and tolerancing (GD&T) as well as manufacturing. We discuss intersections of some mechanical primitives with relevance to the parametric tolerance zones associated with size, position and orientation. This information is of value in the study of interference between mating parts which arises in the fitting of various sorts as well as functional tolerancing. Mechanical primitive types are combined in many design tasks ranging from shaft bearing/mount assemblies, pipe systems, medical surgery, to children toys. The intersection of these primitives are also useful in space station design.
We consider the intersections of cylinders, the cylinder with the sphere and the cylinder with the wedge. Further, a tolerance simulation analysis of problems in Minimally Invasive Neuro surgery (MEN), Laser Lens Mount assembly and a peg and two washer assembly has been performed to demonstrate the importance of intersection in GD&T.
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Valluri, S.R., ElMaraghy, W.H., Gadalla, M.A.E. (1998). Practical Applications for Intersection of Primitives for Geometrical Modelling and Tolerancing. In: ElMaraghy, H.A. (eds) Geometric Design Tolerancing: Theories, Standards and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5797-5_17
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DOI: https://doi.org/10.1007/978-1-4615-5797-5_17
Publisher Name: Springer, Boston, MA
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