Geometrically Accurate Computer 3D Models of Gear Drives and Hob Cutters

Abstract The algorithms of constructing geometrically accurate real computer 3d models are developed. The special feature of these algorithms is that they reproduce a technological process of manufacturing components. The examples of constructing spur and helical gear sets, bevel gears, Archimedes and globoid gear pairs are given. The accuracy of construction is estimated. The construction inaccuracy doesn’t exceed a part of μm, which enables one to use the models as computer samples for production accuracy control and the algorithms as a basis for programs of components production with the help of the programmed control machine tools. The programs for implementation of the suggested algorithms are developed. The programs enable one to vary numerous model parameters and take into consideration teeth forms. The applicability of programs for the analysis of geometric properties of the models is shown. The model of a worm wheel root surface is received. The kinematic surface formed in the globoid gear is examined. The author presents the model of milling of a gear wheel, where the impact of cutting parameters on the tooth form of a manufactured wheel is examined. The models are constructed in the AutoCAD package. These programs are AutoLisp-based.