立辊轧机主传动系统的扭振非线性分析

Non-linear twist vibration of main transmission system of vertical rolling mill

为了掌握立辊轧机主传动系统的扭振理论并且加以控制和利用,根据4200立辊轧机主传动系统的实际参数,建立立辊轧机主传动系统的4自由度非线性扭振模型,采用Matlab软件,得到分岔图、相图和庞加莱截面,通过仿真分析其周期运动的稳定性以及通过倍周期分岔进入混沌的过程。仿真结果表明,当激振力频率与系统固有频率相近时,角位移增大,系统不稳定,在实际生产中要避免激振力频率与系统固有频率相近的工况;随着角频率的变化,系统由周期运动、准周期运动,经过一系列倍周期分岔最终导致混沌产生。

In order to analyze and use the theory of main transmission of vertical rolling mill,a four-degree of freedom non-linear dynamical model on main transmission of vertical roller mill was established according to the actual parameters of the main transmission of 4200 vertical rolling mill.The bifurcation diagram,phase diagram and Poincare sections graph were obtained by Matlab software.The stability of periodic motion and the process of chaotic motion by ways of period doubling bifurcation were analyzed.The simulation results show that the movement of system is instable and leads to vibration Chaos when the driving force frequency is near the natural frequency of vertical rolling mill.Therefore,it should be avoided in the actual production.With the change of angular frequency,the system will change from the cycle movement to quasi-periodic motion.After a number of times the cycle,bifurcation eventually leads to the formation of chaos.