A Nonlinear Research on Coupled Vibration of Strip Steel with the Impact of the Main Drive System of Tandem Mill

摘要

Based on the movement mechanism of strip steeland main drive system during the continuous rolling process,the main drive system of each frame was simplified into atwo-degree-of-freedom discrete model and the strip steel wassimplified into an axially moving Euler beam. Then, the coupledmechanical model of transverse and longitudinal vibrations ofthe strip steel with torsional vibration of the main drive systemwas established. Meanwhile, the nonlinear vibration differentialequations of the coupled model were derived with Hamilton'sprinciple, and the solution method of the mathematical modelwas studied. In fact, the solution method of the mathematicalmodel was a joint solution process of discrete matrix differentialequations and continuous nonlinear differential equations.Therefore, the established model could be called thediscrete-continuous coupled nonlinear vibration model. Then,the discrete-continuous coupled differential equations werejointly solved with the modified iteration method and theKantorovich averaging method. Finally, by using the MATLABsimulation, the amplitude-frequency response curves of stripsteel vibrations coupled with torsional vibration of main drivesystem were obtained to explore the influences of axial velocityand tension of strip steel on coupled vibration characteristics.The results improve the theoretical study on the vibration ofrolling mill for engineering applications.