Effect of Hertzian impact damping on hypoid gear dynamic response

This study presents an enhanced gear mesh model that considers effect of Hertzian impact damping on dynamic response of meshing hypoid gear pairs. First, a non-linear damping function based on coefficient of restitution is applied to a two degrees of freedom (DOF) hypoid gear model that considers just torsional coordinate to study its sensitivity to the change in damping coefficient. Then, two types of impact damping function including non-viscous and viscous damping model are introduced, which have more detailed expressions and realistic physical meanings. The differences between these two types of damping models are studied and compared.