冷板带轧机含振动因素的轧制力模型

Mathematical Model of Rolling Force in the Analysis of Cold Rolling Chatter

通过对冷板带轧机振动过程的分析,结合轧机系统结构模型,考虑工作辊和轧件的弹性变形,推导轧机垂直系统振动过程中带钢厚度、张力、辊缝接触弧长及辊缝摩擦状态变化与轧机扭转振动系统中工作辊速度、摩擦系数变化对轧制力的影响公式,建立振动状态下的轧制力模型,运用稳定性判据对含轧制力影响因素的轧机系统运动耦合模型进行分析,最后对此模型进行仿真对比验证,讨论不同工况下和垂扭耦合对轧机垂直系统稳定性的影响。结果表明,该模型符合实际情况。

By analyzing the vibration process of cold rollilng and using the structure mdel of rolling system,a rolling force mathematical model was built.In the model,the following factors are considered: roll and strip elastic deformation,strip height,rolling tension,the length of contact arc,frictional state,rolling speed and so on.After substituting the force model into the vertical and torsional vibration equations of motion of the rolling mill,a coupled set of equations is obtained,and the stability of the equations is analyzed by using the Routh criterion.By use of simuation,the model is confirmed,and the influence of different working conditions and the coupling between vertical and torsional vibrations on the stability of the vertical system of the mill is discussed,which builds up a foundation for further study of the coupled vibration of rolling mills.