The engagement stiffness of the gear pair is calculated by applying the rotating speed of 2000r / min on the driving wheel at four different center distances of 54.9mm, 55mm, 55.1mm and 55.2mm respectively. The initial engagement point is the top position of the gear 2. Under the theoretical center distance, in a single meshing period, the calculation results are compared as shown in the figure.
It can be seen that the calculation results are in good agreement with those in the literature. The time-domain curves of meshing stiffness under four different center distances are shown in the figure. It can be seen from the figure that with the increase of the center distance, the amplitude of the meshing stiffness of the single and double tooth meshing area decreases obviously. And in a single meshing period, the time proportion of single tooth increases obviously, and the coincidence degree of gear decreases.
The center distance is 55.2mm, and the fluctuation speed 2000 + 1000sin (100 π T) R / min is applied on the driving wheel. The time-domain curve of meshing stiffness is shown in the figure. It can be seen that the time-domain curve of meshing stiffness is sparse and dense, indicating that the period of meshing stiffness changes with the change of rotation speed.
In general, the proposed dynamic meshing stiffness calculation method can correctly reflect the influence of center distance change and rotation speed change on the meshing stiffness in the process of gear transmission, and lay a foundation for further research on the dynamic characteristics of gear transmission system.