GEOMETRIC MODELING OF END CONJUGATED SURFACES

The paper proposes geometric modeling of conical mating surfaces based on a parametric kinematic screw, for practical use in the design of a cutting tool for processing parts. In modern systems of computer-aided design of complex products in mechanical engineering, parametric geometric methods for constructing curved surfaces using computer technologies that exclude interference are increasingly being used. The search for new ways to improve the technological processes of manufacturing parts on machine tools with numerical control. The shapes of complex curved surfaces affect the reliability and durability of products and therefore much attention is paid when designing surfaces, taking into account an increasing number of predetermined conditions for the formation of curved surfaces. The use of parametric geometric methods to describe real surfaces obtained as a result of stamping reflects a real physical process, which is an urgent problem.In recent years, in the manufacture of precise high-quality products of kinematic pairs and cutting tools, complex curved surfaces have been widely used, which require the development of a geometric and mathematical apparatus for their modeling. Modeling of conical mating surfaces on the basis of a parametric kinematic screw by the proposed method will eliminate interference in the manufacture of a conical cutting tool.