According to the international standard of iso6336-1-2006, the average meshing stiffness of a gear is regarded as the total stiffness of the tooth meshing. When the gear has no modification coefficient, the expression of the average meshing stiffness of the gear is as follows:
The results show that the average value of the total meshing stiffness of the meshing gear is as follows: when the end face contact degree is greater than 1.2 and the helix angle is less than 30, the average value of the total meshing stiffness of the meshing gear is as follows:
C γ – average meshing stiffness of single tooth;
Cth — maximum stiffness of single tooth meshing;
C γa is the total average meshing stiffness of gear teeth;
Q — flexibility of unit tooth width.
The total time-varying meshing stiffness is obtained by using tooth width or contact line projection instead of tooth width in potential energy method, which is the maximum and minimum value of time-varying meshing stiffness under different forms, and is compared with the finite element method. The average meshing stiffness obtained by finite element method and different forms is compared with that obtained by empirical method To verify the accuracy of the model.
Compared with the theoretical method, the error of the maximum value and minimum value of the time-varying meshing stiffness curve obtained by finite element method is 2.1% and 1.1% respectively, and the average meshing stiffness obtained by empirical method is only 0.15%. The model established in this paper is more accurate through the finite element method and empirical method.