Nonlinear vibration and primary resonance analysis of non-orthogonal face gear-rotor-bearing system

The nonlinear dynamic model of the non-orthogonal face gear-rotor-bearing system was established considering the nonlinear features associated with time-varying meshing stiffness, transmission error, tooth backlash, bearing clearance, and collision force and friction between tooth. The influence of the excitation frequency, friction coefficient, and support stiffness on the dynamic characteristic of the system is described by the time history, FFT spectrum, phase plane, Poincaré map, and bifurcation diagram. In addition, the multiple-scale method is used to analyze the primary resonance characteristics and determine the stability conditions of the system. The effects of meshing damping, time-varying meshing stiffness, and load on the primary resonance of the system are studied by numerical methods. The results reveal that the non-orthogonal gear-rotor-bearing transmission system exhibits a variety of nonlinear characteristics, and the parameters of the system should be controlled to ensure the stability of the system and prevent the mutation of amplitude.