Computer aided determination of helicoid tooth surfaces

Abstract

In today’s technological environment, the computer-aided or fully automated systems take over the design processes of products and manufacturing equipment. Computer aided engineering activity is one of the most important condition for increasing of the production efficiency and enhancing the quality of the products. The development of the production automation can be advanced by the possibility of extending the mathematical kinematical model generated for the development of the production geometry to the projective space model, which is not only a mathematical generalization of the conical and cylindrical helicoid surfaces, but also progress in eliminating manufacturing errors. The modelling program, constructed according to a uniform concept from the analytical geometric viewpoint, helps the complex production geometry development of the elements of worm gear drive pairs. In this paper, the determination and modelling of the tooth surface points of a wheel connected to a worm with a circular arc profile in axial section is presented.