In order to study the influence of the amplitude of time-varying meshing stiffness on the vibration characteristics of the system, based on the time-varying meshing stiffness curve calculated in the previous paper, five different time-varying meshing stiffness amplitudes (mean value and period of meshing stiffness are unchanged, as shown in Fig. 1) as system excitation. The root mean square value of vibration acceleration along the meshing line of the system is obtained and the vibration speed diagram of the system is drawn as shown in Fig. 2.
From Figure 2 It can be seen that the larger the amplitude of time-varying meshing stiffness is, the greater the root mean square value of gear relative vibration acceleration is; the change of time-varying meshing stiffness amplitude does not cause obvious change of resonance speed of the system; and near the resonance speed of the system, the increase of the amplitude of time-varying meshing stiffness will change the root mean square value of the relative vibration acceleration relative to the rotational speed As mentioned above, the system stability becomes worse when the gear speed reaches the resonance speed.
Fig. 3 and Fig. 5 are time domain diagrams of meshing line direction vibration under five different meshing stiffness amplitudes at 9000rpm and 15000rpm respectively, and the frequency domain diagrams are shown in Fig. 4 and Fig. 6.
It can be seen from Fig. 3 that the larger the amplitude of time-varying meshing stiffness is, the greater the fluctuation of relative vibration acceleration in the direction of meshing line is. Fig. 4 shows that the larger the amplitude of time-varying meshing stiffness is, the greater the amplitude of each order vibration response of the system is.