故障参数下地铁齿轮传动系统的非线性动力学分析

Nonlinear Dynamics Analysis of Subway Gear Transmission System with Fault Parameter

斜齿轮传动是地铁传动系统中一种非常重要的形式,而且斜齿轮故障对地铁运行具有重要影响,为了探究故障参数对地铁齿轮系统非线性动力学的影响,建立了刚度故障和齿面故障参数地铁斜齿六自由度齿轮弯-扭-轴耦合模型,使用变步长四阶Runge-Kutta数值积分法对含有故障参数的齿轮动力学模型进行数值分析,得到系统的动态响应过程。借助速度-时间历程图、相平面图、庞加莱截面图、分叉图等系统状态判断标准,定性分析系统激励频率、故障参数变化下系统周期运动、拟周期运动和混沌运动的演化过程。结果表明,地铁斜齿轮故障参数在不同转速时影响不同。

The helical gear is an important form of transmission in subway vehicles,helical gear failure has a great impact on the subway operation.In order to investigate the influence of fault parameters on the nonlinear dynamics of metro gear system,the stiffness failure and tooth surface fault parameters of 6-DOF subway bending-torsion-shaft coupling mode are established,by using the variable step fourth-order Runge-Kutta numerical integration method the gear dynamics model with fault parameters is analyzed to get the dynamic response process of the system.With the system status judgment criteria of speed-time process graph,phase plane graph,Poincare cross-section graph and bifurcation diagram,the system excitation frequency,the evolution of system periodic motion,quasi-periodic motion and chaotic motion with fault parameters changing are qualitatively analyzed.The results show that the failure parameters have different effects at different speeds.