Dynamic response analysis of helical gear pair considering the interaction between friction and mesh stiffness

This work investigates the dynamic responses of a pair of helical gears considering the interaction between friction and time-varying mesh stiffness (TVMS). Firstly, governing equations with 8 degree-of-freedom, including friction excitations, are established. Then, the calculation methods for friction excitation and TVMS including friction are briefly introduced and influences of working conditions such as surface roughness, transmitted load and rotating speed on coefficient of friction, TVMS of a helical gear pair are revealed. Next, dynamic responses under steady state through numerical algorithm are obtained and the effects of the interaction between friction and TVMS are discussed under different working conditions. The results indicate that the effect brought by the interaction on dynamic responses except the linear vibration displacement along off-line-of-action is not consistent in a whole meshing period, and related to specific working condition. This work provides a more comprehensive way to understand dynamics behaviors of gear pairs.