Computational investigation of off-sized bearing rollers on dynamics for hypoid gear-shaft-bearing coupled system

Abstract

Abstract This paper presents a hybrid dynamic model for hypoid gear-shaft-bearing coupled system considering off-sized bearing rollers. The model includes bearing roller diameter error in calculating the contact deformation between the bearing roller and the race. The time-varying transmission error and mesh stiffness were also considered as system excitation, and flexible shafts were discretized by the finite element method. Dynamic differential equations are solved with numerical integration method. The effects of error magnitude, number and position distribution of off-sized rollers on the vibration of hypoid gear system were investigated. Results show that the off-sized rollers have significant influence on the gear radial displacement and bearing stiffness, and limited influence on the gear axial displacement, dynamic transmission error and dynamic mesh force. Due to off-sized rollers, the gear radial displacement spectra contain bearing cage rotational frequency. As the error magnitude increases, the peak-peak value of bearing stiffness increases, also the gear radial vibration becomes more severe. In addition, the increase in the number of off-sized rollers would also increase the gear radial vibration and the peak-peak value of bearing stiffness, while increasing the position angle of off-sized rollers has opposite effect.