随机啮合参数下辊轧机传动系统动力学特性分析

Dynamics characteristic analysis on roll mill transmission system with random meshing parameters

建立了斜齿6自由度齿轮弯-扭-轴耦合的辊轧机传动系统模型,使用变步长4阶Runge-Kutta数值积分法,对含有时变啮合刚度激励、传动误差激励以及齿侧间隙激励的传动系统动力学模型进行数值分析,得到辊轧机传动系统的动态响应过程。研究结果表明:时变啮合刚度激励、传动误差激励以及齿侧间隙激励的随机性引起齿轮传动系统不同程度的位移振动,并且振动位移均值及均方差随着随机间隙的离散程度增加而增大;由于从动齿侧处于传动系统末端,承受负载大,因此,从动齿侧的振动位移均值及均方差大于主动齿轮的振动位移均值及均方差。该研究为辊轧机传动系统的工程设计提供了参考。

The transmission system model of rolling mill with a 6-degree-of-freedom gear bending-torsion-axis coupling was established,and the dynamic model of the transmission system with time-varying meshing stiffness excitation,transmission error excitation and side clearance excitation of gear was numerically analyzed to obtain the dynamic response process of the roll mill transmission system by 4-order Runge-Kutta numerical integration method.The results show that the random of time-varying meshing stiffness excitation,transmission error excitation and side clearance excitation of gear causes displacement vibration of the gear transmission system to the varying degrees,and the mean and mean square deviation of vibration displacement increase with the increasing of the random clearance dispersion.Because the driven gear side is at the end of the transmission system and bears a large load,the mean and mean square deviation of the vibration displacement of the driven gear side are larger than that of the driving gear.Thus,the research results provide a reference for the engineering design of the transmission system of roll mill.