The three-dimensional eight-degree non-linear dynamical model of the spiral bevel gear was established based on the lumped mass method.Time-varying mesh stiffness

non-linear geometric transmission error

gear clearance and non-linear bearing stiffness were considered in this model.The dynamic response for the transmission system was solved by using Runge-Kutta method.Then

by taking meshing cycle root mean square vibration acceleration as an optimizing object

GA(genetic algorithm) was used to optimize these two local control parameters in the local synthesis

meanwhile optimized machining parameters of the gear pair were also obtained.By the way of tooth surface modification

the purpose of reducing gear's vibration and noise was realized.