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

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.