Analytical and FE calculations for determining the nominal tooth root stress for external, cylindrical gears with symmetric and asymmetric profile

D Debreczeni,G Bognár

doi:10.1088/1742-6596/1564/1/012020

Abstract

The present work deals with the geometry dependence of the nominal tooth root stress of external toothed, cylindrical gears. The profile geometries required to perform the calculations are derived by our own program in MATLAB. Finite element simulations are executed in Abaqus. When designing the models, the geometric constraints of each tooth crown were optimized, keeping in mind the accuracy of the simulation. In addition to the analysis of the significant tooth stress value of symmetrical element pairs, special emphasis is placed on the development of the position of the critical cross-section. The numerical results obtained are also compared with the most significant standardized methods used in practice. The effect of the asymmetric design of the tooth profile on the nominal tooth root stress is reviewed in our investigations. The purpose of the numerical simulations carried out here is to determine the effect of the coast side angle on the dominant tooth root stress. In the evaluation of the results, the location of the critical cross-section, in addition to the magnitude of the stress, is also considered.

Highlights

The modern demand for power drive elements is the continuous increase in torque transmitted at the same dimensions
In addition to the analysis of the significant tooth stress value of symmetrical element pairs, special emphasis is placed on the development of the position of the critical cross-section
The effect of the asymmetric design of the tooth profile on the nominal tooth root stress is reviewed in our investigations

Summary

Introduction

The modern demand for power drive elements is the continuous increase in torque transmitted at the same dimensions. This objective makes it increasingly important for development engineers to make accurate estimates of the load capacity of gears. Increasing demand on tooth load capacity have resulted the appearance of asymmetric profiles in several areas. The analysis of these pair of gears and their integration into standardized methods have been addressed, among others, by Langheinrich [11] and Cavdar et al [12] [13].

Published under licence by IOP Publishing Ltd

Conclusions

Findings

Theory p