A Graphical Expression for the Method of Substitutive Circles Family Applied for Profiling Side Mill Designed to Generate Sealing Worms of Cycloid Pumps

Abstract

This paper approach the issue of side mill profiling, for generation of helical surfaces – the sealing worms from the construction of the helical pumps with cycloid worms. The issue of side mill profiling is based on the complementary theorem of the “substitutive circles family”. This method will be applied as so as for profiling the crossing section of the worm, in order to generate the helical flute and for profiling the revolution surface that constitutes the primary peripheral surface of the side mill. They are discussed some aspects related to singular points onto profiles and problems related to discontinuities onto the tool’s profile. For a certain case, are presented profiles determined in numerical form, which may serve for design of templates for side mill check and, obviously, for design of relieving tools.