Firstly, according to the calculation principle of the meshing comprehensive stiffness of bevel gear teeth introduced, the time-varying comprehensive stiffness of the central bevel gear pair of the model aeroengine is calculated by the finite element method. Then, the time-varying meshing stiffness is introduced into the dynamic equation of bevel gear transmission system, which is solved to obtain the dynamic response of central bevel gear pair, and the calculated response value is analyzed by spectrum analysis and other methods.
The time-varying meshing stiffness of fault bevel gear is analyzed by the contact element of ANSYS. Then the calculated time-varying stiffness is brought into the dynamic equation of bevel gear, and the dynamic response of fault bevel gear is calculated by numerical simulation. Through the spectrum analysis of the calculated response value, it is found that there are four response frequencies with large amplitude in the transmission system, two of which are consistent with the first and second natural frequencies of the second pitch diameter of the driven bevel gear, so there is a large risk of resonance. Therefore, the second-order resonance frequency of the driven bevel gear should be avoided. At the same time, the rotation frequency and tooth meshing frequency of the faulty bevel gear are obtained in the simulation results.
When considering the influence of torque on the dynamic response of central transmission bevel gear, it is found that when the input torque is large, the shape of the response curve of bevel gear transmission system does not change, but the response amplitude increases slightly. It can be seen that the input load is not the main reason affecting the vibration of bevel gear transmission system.