Research on nonlinear vibration characteristics of non-orthogonal face gear transmission

Based on the concentrated parameters theory, a 7-freedom coupled vibration dynamic model of the non-orthogonal face gear transmission system is established, which includes time-varying mesh stiffness, the tooth backlash clearance and transmission error. In the model, the torsion oscillation of the gear pair, the axial vibration aroused by tooth meshing force and the lateral oscillations resulting from flexional deformation of the gear shaft are taken into account. The mesh stiffness fluctuation is developed as 5-order Fourier series and the tooth backlash clearance is fitted by 7-order polynomial function. Through the Gear method, the dynamic response of the system is obtained and the vibration characteristics are analyzed.