Study On Stability Of High Speed&Heavy Load Gear Train

The high speed&heavy load gear train has larger transmission torque, higher circumferential speed, and more complex working conditions. Coupled with effects of the time-varying mesh stiffness, transmission error, backlash, and other nonlinear factors, the nonlinear complex dynamic phenomena may occur in the gear drive, such as chaos and bifurcation. The stability of high speed&heavy load gear train is an important issue. It is of theoretical and practical significance to study effects of parameters on the stability of the mechanism.For this reason, this paper takes the high-speed rail traction gear transmission system for an example. The stability of high speed&heavy load gear train is focused on basis of domestic and foreign researches. The contents of the paper are as follows:(1) Modeling method of the gear transmission system were studied. A bend-torsion-axes gap nonlinear coupled gear system model was proposed according to the characteristics of high-speed rail traction gear transmission system,, taking into account the effects of non-linear factors, such as the time-varying mesh stiffness, transmission error, backlash and so on. And the dynamic differential equations were dimensionless.(2) Effects of gear parametres on the dynamic stability were analysed. Inherent characteristic was studied and natural frequency was given through undamped free vibration system. Analysed the influence of several dynamic parameters on the dynamic transmission error, such as coincidence, bearing stiffness, meshing damping and gear backlash, to explore the impact of the mechanisms and laws, to determine the stable area and unstable area, to be compared with the natural frequency, and to identify the intrinsic link.(3) Bifurcation and chaos were researched through qualitative and quantitative meaings. The mechanism of the nonlinear phenomena affected by excitation frequency, meshing damping and gear backlash was focused on.(4) Dynamics optimization was carried based on the dynamics dtability of the system. Checked the dynamic stability of system of three sets of parametres with the method of parametres matching, and to obtain the best design options.