Modeling and vibration feature analysis of a spur gear-bearing system with a misaligned shaft angle

A gear-bearing dynamic model is presented to investigate the vibration features of the gear transmission system with a misaligned shaft angle. The time-varying mesh stiffness (TVMS), time-varying pressure angle and eccentricity are considered in the model. In addition, a new expression of the load distribution function for the gear tooth is proposed to obtain accurate effects of the misaligned shaft angle on the TVMS. Based on the proposed model, the vibration of the system and the TVMS are solved jointly. This model is solved by the 4 th Runge-Kutta, and the TVMS is calculated by the energy potential method where one mesh stiffness value is determined by each time-varying misaligned shaft angle. Effects of the misaligned shaft angle on the vibration features are analyzed by the time-domain, frequency-domain and statistical indicator features.