Geometrical and computer modeling of the technical workpieces main objects shaping

Geometrical and computer modeling of the main objects of technical workpieces shaping is considered: envelope, real envelope and removable layers based on the common methodology. The carried out research of two-dimensional surfaces and three-dimensional hyper-surfaces discriminants allowed to offer a definition of the envelope and real envelope families of curvatures and surfaces from a single viewpoint of analytical and numerical methods, respectively. This methodology is developed to perform 3D-modeling by means of CAD tools of both an envelope curvature and removable layers. The obtained surface models are used for analyzing the influence on the envelope shape of the of the of shape parameters profile family of the shaping curvature, as well as the parameter of setting a product relatively to the tool.