Abstract
This article presents the geometry of the tool body, which implements a method of machining hypocycloidal internal and external polyhedral surfaces by adding rotations around parallel axes. Mathematical models of the major cutting angles when machining hypocycloidal surfaces by adding rotations around parallel axes have been developed. The models obtained allow the design of a serviceable cutting tool, securing the mechanical diagram of the method.
Keywords:
Cutting; cutting tools; hypocycloidal surfaces; machining methods; polygon shaft joints; tool angles.