Topological representation of rotating cutter reciprocally enveloping with a helical surface

Résumé

Generation of the helical surfaces by turning with rotating cutter tool is a process used in the mass machining. The process is made on specialized machines tool and is characterized by an increased productivity. In this paper, is proposed a representation of the surfaces (profiles) in the CATIA design environment. A specific algorithm, developed in the graphical design environment allows determining the rotating cutter profile, reciprocally enveloping with the axial section of the helical surface to be generated. It is developed an application for a cylindrical helical surface with constant
pitch (an Arhimedes worm), representing the flanks of a trapezoidal thread. The profile of the rotary cutter is determined analytical and graphical.