Numerical Simulation of Root Longitudinal Stresses and Tooth Deformations Under Irregularly Distributed Loads

Abstract

Gear strength analysis is important to the drive design of gear. Because of the considerable effect of the precise modeling on the numerical simulation of gear strength, APDL(ANSYS Parametric Design Language)- MATLAB parametric modeling approach is used. Gear tooth model is built by reducing tooth profile curve exactly. Based on the invariable position of gear engagement stiffness and linear elastic model of a pair of gears engagement stiffness, the engagement stiffness formula in the highest location of one-pair teeth is deduced under regularly distributed load. Considering the influence of surface hardness, running-in effects and the end stiffness on distribution of longitudinal load, a simulation method is given, which supposed that contact load is linear before running-in and parabolic after running-in. Then longitudinal stress curves are deduced. The maximum root stresses and tooth deformations are contrasted under linear and regular distribution load, linear and irregular distribution load and parabolic distribution load. The end stiffness effect and the continuity of root stresses and tooth deformations are validated. Under irregularly distributed load, root longitudinal stresses and tooth deformations are simulated. The results show that maximum root stress increases whereas tooth deformations decreased due to existing irregularly longitudinal load and end constraint. And the conclusions have some value on optimizing tooth profile and improving longitudinal load distribution.