A novel mathematical model for analysis of the cracked planet gear

The crack fault often appears in the complicated gear system, and even causes tooth broken. To solve this problem, an improved model is proposed in this paper, which considers the coupling effect of cracks on both gear tooth and gear foundation, and a 2D finite element model is established to verify the proposed method. The influences of crack size and inclination angle on meshing stiffness are investigated. The results are used to simulate the situation of the crack occurring at the sun gear in an 18 degrees of freedom dynamic model of the planetary gear set, so as to obtain the dynamic responses of the crack gear system both in time domain and frequency domain. Finally, two different methods are used to process the original vibration signals to obtain the residual signals. Combining the residual signals, several statistical indicators are employed to characterize the evolution of crack propagation.

Automated summary

This paper proposes an improved model to address the crack fault in complicated gear systems, and a 2D finite element model is established to verify the proposed method. The influences of crack size and inclination angle on meshing stiffness are investigated, and the dynamic responses of the crack gear system in both time and frequency domains are obtained. Additionally, statistical indicators are employed to characterize the evolution of crack propagation.