Abstract:
Using the mass centralized method, a six degree of freedom transverse-torsional coupled nonlinear gear-rotor-bearing vibration model with multiple clearances and tooth surface friction was established, while time-varying meshing stiffness, gear backlashes, bearing clearances were considered in the model as well. By studying Poincare maps and global bifurcation diagrams under above parameters, the bifurcation characteristics of the system were obtained. Under a certain gear backlash, meshing damp and low tooth surface meshing friction, the system enters into a chaos state by the way of quasi-periodic motion with the increase of the rotation rate. While the tooth surface meshing friction coefficient increases, namely system is changed from well lubricated state to dry lubrication, the window of the chaos motion is split into two pieces at a critical point, and the system motion enters into a chaos state again by the way of crisis; Under a certain rotation speed, meshing damp and tooth surface friction coefficient, the system enters into a chaos state by way of crisis with the increase of the gear backlash, and the bifurcation and chaos motion happens when dimensionless gear backlash is less than 3 or bigger than 7, and the system motion is locked into a period motion by channel of reverse bifurcation; Under a certain rotation rate, meshing damp and gear backlash, the system enters into a chaos state by the way of crisis with the increase of the tooth surface friction coefficient. Meanwhile, it could be observed that, with the increase of the meshing damp, the window of the chaotic motion is split into 2, 3 and 4 sub-windows subsequently. But at last, system always is locked into a period motion by channel of quasi-periodic motion.