Abstract: The self-excited horizon vibration of single-roll driving mill is analyzed. The non-line equation of the horizon motion is derived bade on analyzing the relationship between relative velocity and relative deform of rolling contact interface, the effects of friction transformed from sticking-sliding state to sliding state on the movement are determined. The horizon motion of mil is analyzed by the state-plane method. A limit circle which can describe the path of the sticking-sliding motion requisition in the parameters plane is deduced. The model of self-excited horizon vibration is presented.

Key words: Limit circle, Mill, Self-excited vibration, Sticking-sliding