From the basic parameters, the time-domain response curve of the reducer variable speed integrated gear obtained by harmonic balance method and fourth-order Runge Kutta method is shown in the figure. The solid line is the time-domain response of the reducer variable speed integrated gear based on harmonic balance method. It can be seen from the figure that the overall dynamic response presents low-frequency vibration, and local high-frequency vibration exists, and the amplitude of high-frequency vibration is not the same. It can be seen from the analysis that the dynamic torque of non-circular gear changes periodically because of the change of instantaneous center tool.
Therefore, the amplitude of high frequency is different and varies with the position of instantaneous center. Under the combined action of time-varying instantaneous center and time-varying stiffness, the reducer variable speed integrated gear exhibits high-frequency and low-frequency compound vibration. Fig. a) is the time domain response of the reducer variable speed integrated gear solved by the numerical method, which is shown in Fig. b) of the harmonic balance method. It can be found that the two curves are basically consistent, indicating that the approximate analytical solution obtained by the harmonic balance method has sufficient calculation accuracy.
PPV is defined as the peak to peak value of gear dynamic response Q, that is, the difference between peak and trough of dynamic response Q, so as to characterize the intensity of gear vibration. The effects of input speed, eccentricity, static transmission error, meshing stiffness and load torque on the PPV of non-circular gear system are studied by the control variable method. When calculating the change rule of PPV value with a certain parameter, the quantitative change trend of peak to peak value of gear dynamic response with input speed, eccentricity, static transmission error, gear mesh stiffness and load torque is obtained.