(1) Eccentricity, input speed and error amplitude have great influence on the rattle state of the gear pair. With the increase of these three parameters, the gear goes through no slap state, one-sided slap state and two-sided slap state in turn. With the increase of load torque, the order of gear teeth ‘slapping state is opposite. The fluctuation of meshing stiffness has little influence on the vibration state. Under certain critical conditions, the vibration state of gear will increase with the amplitude coefficient of meshing stiffness And change.
(2) The results show that the peak to peak value of gear dynamic response increases gradually with the increase of eccentricity, input speed and error amplitude in non slapping and unilateral States, and PPV at the beginning of bilateral impact state In the bilateral impact state, with the increase of the load torque, the peak to peak value of the dynamic response of the gear gradually increases. The appearance of unilateral impact makes the vibration amplitude of the reducer variable speed integrated gear jump. In the non slapping state and the unilateral state, the PPV increases The curve rises slowly, which indicates that the vibration of the gear is small. In addition, the PPV increases with the increase of the meshing stiffness amplitude coefficient, which has a great influence on the vibration amplitude of the gear.
The nonlinear dynamic model of the reducer variable speed integrated gear is established, and the nonlinear multi-scale parametric vibration equation considering the backlash is established. At the same time, the approximate solution based on harmonic balance method is given. The influence of input speed, static transmission error, eccentricity and time-varying meshing stiffness on the rattling behavior of gear is analyzed emphatically. The results show that with the increase of eccentricity, input speed and error amplitude, the gear will experience non impact state, unilateral impact state and bilateral impact state in turn. The change of time-varying meshing stiffness has little effect on the state transition of the gear system.