Root Stress Analysis of Internal Spur Gears by Theory of Elasticity

Abstract

This paper presents a study on the root stress analysis of internal spur gears by 2-dimensional elasticity theory and mapping function. A calculating method of tooth profile of internal spur gear generated with a pinion cutter was indicated and a mapping function for the profile approximated to the tooth profile of an internal spur gear was obtained. The root stress of internal spur gears calculated by 2-dimensional finite element method (FEM) and measured ones, and the validity of root stress analysis of internal spur gears by the theory of elasticity was confirmed. Furthermore the effects of addendum modification and loading position on clarified to a considerable extent.