The calculated vibration accelerations in all directions of the helical gear are combined into “relative vibration accelerations a in the direction of the end face meshing line of the helical gear”, which are taken as the main index for checking the vibration degree of the system. The expression is shown in the formula:
Among them, β 1 represents the helix angle of the gear pair at the input end of the reducer.
The dynamic equations are solved, and the vibration accelerations in all directions obtained from the solution are combined according to the formula, and their root mean square values are calculated. The root mean square values of the relative vibration accelerations at each speed are calculated in turn, and the vibration speed diagram in the direction of the meshing line of the helical gear end face is made. The vibration characteristics of single-stage helical gear drive under the excitation of time-varying meshing stiffness alone will be analyzed from the time domain, frequency domain and vibration speed diagram of system response. The influence of two key factors, the mean value of time-varying meshing stiffness and the amplitude of time-varying meshing stiffness, on the vibration characteristics of single-stage helical gear transmission is studied.