Frictional Tooth Contact Analysis along Line of Action of a Spur Gear Using Finite Element Method

Abstract

In the present paper an attempt has been made to study the effect of static coefficient of friction along the line of action of a spur gear. The basic task was to analyze and determine the shape function which defines the change of contact stresses along the line of action of the meshed gear pair. The analysis was conducted on an involute spur gear pair. A 3D finite element method was used for the modeling and analysis of the contact between the gear tooth flanks. The involute gear profile was generated using a macro in ANSYS APDL. The Lagrangian multiplier contact algorithm was chosen to determine the stresses at the contacting gear pair. The results obtained with this model for the frictionless case were compared to the theoretical calculations to confirm the accuracy of the model used. After the validation, the analysis was extended to the frictional cases. The results showed an increase in the contact stress with the increase in coefficient of friction. The contact stresses have been observed to increase about 10% for an increase in coefficient of friction from 0 to 0.3.