METHOD OF JUDGING THE SELF-EXCITED VIBRATION OF ROLLING MAIN DRIVE SYSTEM IN ROLLING SLIPPAGE

Abstract For the rolling slipping state of a main drive system, the present paper established the nonlinear mechanical model of the main drive system and used the Krilov–Bogolubov method to produce the solution of the nonlinear mechanical model, and ascertained the condition of generating self-excited vibration. It also presented a method of calculating the upper and the lower limit angular velocities between which self-excited vibration of the main drive system occurs. A relationship of rolling force, friction coefficient between roll and rolled piece, and rolling angular velocity was derived to judge whether self-excited vibration happens or not. The method may provide a valuable way to avoid self-excited vibration and thus prevent the instantaneous breakage of the system due to the self-excited vibration.