Investigation of vibration characteristics of gear-bearing transmission system considering the effect of profile shifted coefficient

Abstract

In this paper, a dynamics model of the gear-bearing transmission system with bending and torsion coupling is established, and the influence of gear shifted on the vibration characteristics of the gear system is considered. First, the time-varying mesh stiffness of the profile shifted gear is derived by using the potential energy method. Then, based on the Lagrange equation numerical method, the vibration differential equation of the model is obtained, and the differential equation is solved by the fourth-order Runge-Kutta method. Finally, the influence of the profile shifted coefficient and input torque on the vibration characteristics of the gear transmission system is analyzed by using the time domain graph and the frequency domain graph. The conclusions drawn from this study can help engineers better understand the running performance and vibration characteristics of profile shifted gear.