Study on Vertical-Horizontal Coupling Vibration of Mill Rolls Based on the Nonlinear Rolling Force Model

Based on the Orowan unit pressure differential equation, a vertical-horizontal dynamic rolling force model of workpiece was studied. Then, considering the influence of the rolling mill structure, the vertical-horizontal coupling vibration dynamic model of mill rollers was estabilished. The parse approximation solution of coupling system were carried out by using multiple-scale method, and the equations of amplitude frequency were obtained. Finally, the computer simulation analzed the characteristics of the system in different parameters, which can supply theoretical bases for suppressing vibration of rolling mill.