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

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.