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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。
The problem of self-excited vibration of the main drive system of a rolling mill under nonlinear friction is analyzed. A nonlinear frictional kinetic equation is established and the necessary and sufficient conditions for Hopf bifurcation of the system are given. Simulink simulation shows that the system converges in the steady-state domain and the load speed tends to balance with the increase of time. When the value of the friction coefficient exceeds the critical point, the system will exhibit self-excited vibration. As the load speed increases with time Increase.