A MATHEMATICAL-MODEL OF THE ZE-TYPE WORM GEAR SET

Abstract

The mathematical model of the ZE-type worm gear set derived here is based on tool design parameters, machine tool settings, and worm and worm-gear cutting mechanisms. The backlash of the worm gear set is considered into the developed mathematical model. The developed mathematical model is most helpful in designing, contact and stress analyzing, manufacturing, measuring and optimizing worm gear sets. The profile of the fly cutter for small-lot worm-gear cutting is also investigated. Three-dimensional computer graphs of the worm gear set are presented to demonstrate the developed mathematical model.