The substitutive circles family method – graphical aproach in catia design environment

Abstract

The profiling of tools which generate by enveloping using the rolling method is done using the general principles of surfaces enveloping – first Olivier theorem or Gohman method. Also, complementary methods for the study of the enveloping surfaces, associated with a pair of rolling centrodes were elaborated: “the minimum distance” method; “the substitutive circles family” method; “the in-plane generating trajectories” method. In this paper, a graphical solution of rack-gear and gear shaped tool profiling is proposed. The solving method is based on the CATIA design environment capabilities. The method is simple, intuitive and rigorous. An application example of the method is presented versus an analytical, method.