During the actual operation of gears, phenomena such as friction and cracking occur. Based on the energy method, a time-varying mesh stiffness solution model of the gear pair is established, and a dynamics model of the gear transmission system is built, and the sensitivity of the vibration signal and its response is analysed using wavelet transform as well as statistical indicators. The results show that cracks promote the effect of friction on the mesh stiffness as they enter the mesh. Friction will make the vibration displacement increase, and crack will cause vibration displacement to produce vibration shock, the wavelet diagram at the crack will become bright, kurtosis is the most effective indicator to determine the crack damage, which provides a theoretical basis to study the dynamic characteristics of friction and crack under actual working conditions and vibration and noise reduction.
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