The tooth surface pitting fault is a common failure form of gear system. In the modeling of gear pitting fault, there are three kinds of pitting fault models: rectangular pitting fault, elliptical pitting fault and circular pitting fault.
A single rectangular tooth pitting fault model is established on the tooth surface. Chaari f et al. Established a rectangular single tooth pitting fault model, and studied the influence of rectangular pitting fault on the meshing stiffness and the vibration response spectrum of gears Taking the planetary gear with rectangular single tooth pitting fault as the model, the influence of rectangular pitting fault on the vibration response of planetary gear system was studied, and the degree of gear pitting fault was diagnosed by grey correlation analysis The influence of single tooth pitting fault on meshing stiffness was studied, and the influence of pitting fault on vibration response in time domain and frequency domain was studied.
Wang Xinlong established a rectangular single tooth spalling fault model on the gear tooth surface. Considering the influence of edge contact caused by tooth spalling on the time-varying meshing stiffness, a time-varying meshing stiffness calculation model considering edge contact was established. By analyzing the influence of different degrees of tooth spalling fault on the time-varying meshing stiffness, the edge connection was considered The sudden change characteristics of gear meshing stiffness affected by contact. Rincon AFD et al. Established the elliptical pitting fault model, and studied the influence of elliptical single tooth pitting fault on gear meshing stiffness by using finite element method. A gear pitting fault model based on circular pitting is established.
According to the energy method, Liang et al. Derived and calculated the time-varying meshing stiffness of gears with different degrees of circular pitting failure, and established the relationship between the circular pitting fault model and the meshing stiffness of gears. On the basis of this, Liang and Zhang et al. Verified the method of calculating gear meshing stiffness in finite element model. The results show that the relationship between gear pitting failure model and meshing stiffness established by energy method is reasonable and accurate.
Liang and Liu et al. Established the circular pitting fault model and calculated the time-varying meshing stiffness of healthy gear and pitting failure gear. Through analysis, it was found that the gear mesh stiffness would be reduced due to the gear pitting fault. Then, the influence of the reduction of gear meshing stiffness on the dynamic response of the gear system was studied by using the 8-DOF gear system dynamic model.