The existence of the backlash can generate impact between teeth

which influences the stability of gear transmission.In order to comprehensive research on the influence of backlash on the gear vibration characteristics

the influences of backlash on the gear pair vibration and impact state under different meshing frequency and different loads are studied

through establishing the mathematical model of gear pair nonlinear vibration

and solving the model numerical simulation based on Runge-Kutta method

combined with time process diagram

phase diagram

Poincaré and FFT frequency spectrogram.The research shows that

the dynamics response of meshing frequency towards backlash is the nonlinear relationship

when the meshing frequency is fixed

within a certain range of backlash

gear chaos appears

out of that range

gear chaos does not appears.When the gear load is lighter

backlash is more likely to influence the vibration characteristics of gear pair

however

when the load is heavy

the influence is smaller.With the increase of backlash

the gear impact state transits from bilateral impact to unilateral impact.when it surpass the threshold

the impact of unilateral state will be maintained and unchanged.