非线性摩阻引起的轧机主传动系统自激振动分析

Analysis Nonlinear Friction Caused of Self-Excited Vibration of Main Drive System on Rolling Mill

分析了轧机主传动系统在非线性摩阻下的自激振动问题,建立了非线性摩阻动力学方程,给出了系统发生Hopf分岔的充要条件。通过Simulink仿真表明在稳定域内系统是收敛的,负载转速随着时间的增加而趋于平衡;一旦摩擦系数的取值超过临界点,系统就会出现自激振动,负载转速随着时间的增大而增大。

Analyzes the non-linear friction of self-excited vibration for the main transmission system rolling mill, establishing non-linear friction dynamic equations, It is given that the necessary and sufficient conditions for the phenomenon of hopf bifurcation. By Simulink simulation shows that the system is converge in a stable region, the load speed tends to increase over time balance; if the coefficient of friction than the critical point, the system will be self- excited vibration, load; speed incroases with time the increase.