Geometric Modeling of Macro-defects of Parts Surfaces Based on Discrete Solid-State Modeling

Abstract

Traditional solid modeling enables to describe component parts and assemblies in an idealized formulation. It is considered that surfaces of model objects are canonical or spline surfaces, the edges are lines, and the vertices are dots. None of real component parts has such properties. In this regard, subsequent calculations, finite element analysis, for example, are not be completely adequate, especially for contact problems. Meanwhile, often the finite elements are comparable in size with the indicated defects and the description of such defects is realizable for the modern level of computer capacity. Thus, developing of CAD and following CAE models in view of surface defects is an important problem. At the present time, voxel modeling is increasingly used. The presented paper studies the application of voxel approach to develop the required CAD models. Voxel CAD modeling is called discrete solid modeling. The problems of collecting libraries of typical surfaces and libraries of surface defects are considered. Modeling of defects and of their locations on the surfaces is also the subject of this study. The results of modeling prove the validity of the primer approach. These results are presented as finite element meshes of models of component part surfaces and of surface defects.