Interference analysis of internal involute spur gear pair

Abstract

In this paper, we have considered tip interference and radial interference of internal involute spur gears. Equations of tooth profiles are provided and operating constraints for internal gears are defined. The undercutting and interference of the teeth profiles are the main problems for the practical application of internal gears in planetary gear trains, which requires particular attention in the design of planetary gear trains. The problem of avoiding interference of internal involute spur gears is especially challenging. Therefore, it is necessary to create the corresponding geometric models and express the above requirements by the corresponding functional constraints to verify the engagement condition. The developed geometrical model of the tooth surfaces is most helpful in the analysis of meshing interference, contact, and stress analyzing, manufacturing, measuring, and optimizing internal gear sets. The numerical results are tested by computerized simulation of the meshing of internal involute spur gears.