Dynamic modeling and vibration analysis of herringbone gear system with uncertain parameters

There are inevitably all kinds of uncertainties in the gear transmission system. These uncertainties will have an important impact on the vibration response of the system. In this paper, the vibration response characteristics of herringbone gear transmission system with uncertain parameters are investigated. A six-degree-of-freedom dynamic model of single-stage herringbone gear-shaft-bearing system is established based on the finite element method. The stochastic agent model of the system is constructed by polynomial chaotic expansion (PCE), and the effects of gear meshing stiffness, bearing stiffness and damping parameters uncertainty on the vibration response of the system are analyzed. The results show that the uncertainty of gear meshing stiffness leads to the offset of the boundary value of the vibration amplitude of the system, and the uncertainty of bearing damping mainly affects the vibration amplitude of the main resonance region of the system. The uncertainty of bearing stiffness has little effect on the vibration amplitude of the system. And the hybrid uncertainty has comprehensive effect on the vibration amplitude of the system.