A 3D method for profiling the shaping tool for the generation of helical surfaces

Abstract

It is proposed a graphical method for profiling the shaping tool used to generate cylindrical helical surface with constant pitch. The method, developed in the CATIA graphical design environment, is based on the helical movement decomposition into an assembly of equivalent movements, rotation and translation. A dedicated software application allows for modeling of the helical surface, determining the characteristic curve and the crossing section of the cylindrical surface, reciprocally enveloping with the helical surface. These are presented applications for the generation of helical surface as trapezoidal thread and ball thread.