Study of the Enwrapping Profiles Associated with Rolling Centrodes by the Minimum Distance Method — Graphical Solution Developed in the CATIA Design Environment

The issue of enwrapping surfaces study can be solved using the basic theorem Olivier or Gohman. Also, are known and used some specific theorems for the study of the enveloping of the helical surfaces. More, they were developed and applied complementary theorems as: “the minimum distance” method or “the inplane generating trajectories family”. The development of the graphical design environment allows the approach of the issue of surface enwrapping using the capabilities of this software. In this paper it is proposed a methodology for application of the “minimum distance method” for generation of the surface associated with a pair of rolling centrodes using various tools: rackgear tool and gear shaped tool. They are presented applications of this graphical method and the results. This proves the quality of the proposed method. The graphical methods have the advantages that are fast, rigorous and intuitive.