A study on the calculation method of single-tooth mesh stiffness of spur gear based on ANSYS workbench

To calculate the spur gear single-tooth mesh stiffness (STMS), this study proposes two simulation-based methods: the action-line strain (ALS) and Mises strain (MS) methods. A 3D gear model was built in SolidWorks with GearTrax and simulated dynamically in ANSYS Workbench. The normal mesh force and tooth surface elastic deformation were extracted to determine STMS curves, and the time-varying mesh stiffness (TVMS) was derived based on the contact ratio. Results from both proposed methods align well with the classical torque-torsional angle (TTA) method in trend and magnitude, validating their effectiveness for spur gear stiffness analysis.