The further application of face gear benefits from the following researchers. Zhao et al. Broke through the traditional mode and proposed a new type of bevel bevel bevel combination mode. The transmission model of gear system is shown in Fig. 1. The vibration characteristics and influence of various factors on the system are analyzed. The results show that with the increase of frequency, the gear system undergoes the normal nonlinear periodic change process. Vibration can be suppressed by increasing damping coefficient and input torque or reducing clearance.
Based on the above research on face gear, the following researchers have studied a variety of nonlinear factors in the model, Yu The non orthogonal model of the face gear is constructed, and the influence of system parameters on the stability of the gear system is studied; the non orthogonal transmission model of the face gear is constructed by Zhu Rupeng and others, and the influence of various system parameters on the dynamic characteristics of the gear system is analyzed as shown in figure 2; the coupling vibration characteristics of the gear system are further analyzed by Wang Hongxiang and others, and the influence of the system parameters on the stability of the gear system is studied The modal analysis of the gear system model is carried out.
Face gear is often used in helicopter transmission system. On the basis of considering stiffness, backlash, meshing phase and error, Gao Hongying constructs a bending torsion coupling nonlinear model considering power split, and uses numerical method to solve and analyze the dynamic response under different speeds and backlash. Ren Weiwei studies the double split transmission system of face and circle, except for stiffness In addition to the degree, eccentricity error and tooth side clearance, various factors are considered comprehensively. Based on the lumped mass method, the bending torsion coupling model of the system is constructed and the differential equation of the system is solved numerically. The influence of multiple system parameters on the dynamic load sharing characteristics is analyzed. Based on the lumped mass method, the face gear drive is constructed considering the torsional vibration freedom of the system The dynamic model of the split torsion system. The influence law of system parameters on the natural frequency is obtained; Chen Guangyan and others have studied the split torsion parallel transmission system, constructed the torsional vibration dynamic model of the system, and studied the influence law of the helicopter’s unique dynamic excitation on its flight state; Zhao Ning comprehensively considered a variety of non-linear factors, constructed the dynamic model as shown in Figure 3, and analyzed the influence of error on aircraft flight load The influence law of fluctuation.
All of the above researches on the dynamics of face gear are aimed at the circular face gear, and there is no time-varying transient center excitation. Neither the dynamic model nor the dynamic analysis results can be applied to the non-circular face gear.