NURBS-Based Variational Modeling as a Tool for the Analysis of Geometric Tolerances

摘要

The purpose of this research is to investigate a computer-aidedapproach to tolerance analysis for assemblies and mechanisms.A CAD system which can generate NURBS surfaces is used toproduce imperfect-form, variant models. A method isdeveloped for simulating the mating of these imperfect-formcomponents by formulating surface mating relationships as anonlinear programming problem. Using this approach,tolerance analysis can be performed by generating a series oftypical component variants, simulating the positioning of theseimperfect-form components then measuring geometricattributes of the assembly or mechanism which correspond tofunctionality.