The Bonc-Wen hysteretic model was used describe the rolling piece elastic-plastic deformation process performance of hysteretic characteristics, this hysteretic characteristic considered in the rolling process, vertical vibration model of hysteretic nonlinear of the strip mill roll system is established. Analyzed the rule of rolled piece deformation process change, and used different parameters incentive coefficients of rolled piece deformation hysteretic force. Then found the deformation process of rolled piece expressed hysteretic nonlinear characteristic when the roll system interference by the cycle motivation. Analyzed the effect law on the stability of the system, and get the vibration status of system in different conditions, which provides theory basis for further control the nonlinear rolling mill vibration behavior, gave some advices on reducing the vibration.
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