Time-varying meshing stiffness calculation and nonlinear analysis of non-orthogonal asymmetric helical face gear

In order to deeply explore the tooth profile design and meshing characteristics of non-orthogonal asymmetric helical face gear. Firstly, the tooth surface equation of the non-orthogonal asymmetric helical face gear transmission system is established. Then, the improved potential energy method and the slice method are used to calculate the time-varying meshing stiffness (TVMS) under different pressure angles, shaft angles and installation errors. The accuracy of the calculation results is verified by finite element simulation. It is found that when the shaft angle is fixed at 90°, the TVMS of the non-orthogonal asymmetric helical face gear system shows an increasing trend as the pressure angle increases from 15° to 30°. When the pressure angle is fixed at 20°, the TVMS of the system gradually decreases as the shaft angle increases from 30° to 90°. In addition, it is also found that the x-axis bias error, y-axis bias error, shaft angle error and axial displacement error in the transmission system will adversely affect the TVMS. Furthermore, the influence of tooth crack on the stiffness and dynamic characteristics of the system is also discussed. These findings provide important theoretical support and practical guidance for the design and application of non-orthogonal asymmetric helical face gear, which is helpful to improve the performance and reliability of gear transmission system.