Considering the influence of center distance deviation

the meshing process of a single gear tooth was discretized into 20 meshing points

and the static meshing finite element model of spur gear pair at different meshing points was established to study the variation of gear meshing stiffness and transmission error with center distance deviation. Subsequently

a dynamic meshing finite element model of the spur gear pair was established

and the effects of parameters such as center distance deviation

rotational speed

and load torque on the vibration response of the gear pair system were analyzed by transient dynamics simulation. The research results show that as the center distance deviation increases

the spur gear mesh stiffness decreases

the static transmission error increases

and the mesh vibration becomes larger. However

there is a critical value for the effect of vibration. After the deviation reaches the critical value

the meshing vibration of the gear pair will be maintained at a relatively constant state with the increase of the center distance deviation. The vibration of the gear subsystem increases with the increase of speed. When it is at resonance speed

the gears are seriously disengaged

the main excitation frequency in the gear system is no longer related to the meshing frequency in integer multiples

the vibration of the gears shows randomness

the meshing shock increases exponentially

and the meshing stability decreases. The meshing vibration of the gear pair increases nonlinearly with the increase of torque

when the torque is too high

it will cause the joint line shock and abnormal vibration of the spokes

resulting in the deterioration of the gear meshing performance.