Graphical solution in catia for profiling rotary cutters. the method of relative trajectories

Abstract

This paper deals with a new form of the enwrapping condition in case of profile enwrapping associated with a pair of rolling centrodes, at generating with rotary
cutters. The problem can be solved appealing to the capabilities of the CATIA design environment. The graphical environment is used for profiling the rotary cutter associated with a circular centrode, in rolling with a linear centrode, associated with in-plane profiles representing a cylindrical helical surface with constant pitch in the case of long threads. A specific theorem is stated and specific algorithms are defined for determining the rotary cutter’s profile. Numerical examples are presented and solutions are compared with those obtained by analytical methods.