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Abstract A vertical vibration dynamic model with two degrees of freedom was established considering the nonlinear stiffness constraint action from hydraulic cylinder in the four-high rolling mill process. On the basis of D’Alembert’s principle， the study established the nonlinear vertical vibration equation of roll system contained nonlinear stiffness of hydraulic cylinder， and obtained the amplitude-frequency response of the vibration system by using the average method. According to the actual parameters of rolling mill， the influences of the nonlinear stiffness of the hydraulic cylinder and the external force on the amplitude-frequency response of the rolling mill were analyzed， the behavior of mill vibration under different nonlinear stiffness was investigated. The study indicated that the larger the nonlinear stiffness of the hydraulic cylinder， the more unstable the rolling mill system. The mill vibration behavior would gradually converge to stability when the nonlinear stiffness was weaker， the mill vibration would be in a state of instability and divergent when the nonlinear stiffness was stronger， which provided a theoretical basis to suppress the vibration of rolling mill rolls.
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Received: 27 June 2016
Published: 10 March 2017
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2017, Vol. 52 
