Abstract:

The Establishment of dynamic force model was based on the consideration of the dynamic changes of vibration displacement of cold rolling mill roller in vertical direction. The vibration influences of rolling mill's of the mechanical structure were considered, which formed the two-degree-of-freedom nonlinear vertical vibration equation. In addition, by using the multi-scale method, it was able to solve out the primary resonance and internal resonance amplitude-frequency characteristic equation of system. Lastly, parameters of the actual mill were used to conduct a simulation research and parameters such as equivalent nonlinear stiffness of a mill system, damping, and extraneous force were analyzed how to affect the primary and internal resonance. The study of the characteristics of work roll and back up roll was carried out and found that as the changes of the external disturbance force, the rolling mill will cause periodic, period-doubling, chaotic motion and a series of complex movements. The conditions where different kinds of motions occurred are also found. As a results it provides an effective theory reference for the research of inhibition of rolling mill vibration problems.

Key words: cold rolling mill, two-degree-of-freedom, vertical vibration, dynamic rolling force

摘要：

考虑冷轧机轧辊在垂直方向上振动位移动态变化的影响，建立了一种动态轧制力模型，在此基础上考虑轧机机械结构振动的影响，推导出含有动态轧制力的轧机辊系两自由度非线性垂直振动方程，采用多尺度法求解该系统的主共振及内共振幅频特性方程。对轧机实际参数进行仿真，分析了轧机中非线性刚度、阻尼、外扰力等参数变化时的轧机主共振幅频特性以及内共振幅频特性，并研究了轧机工作辊与支承辊的动态分岔特性，发现随着外扰力的变化，轧机辊系均会出现周期、倍周期、混沌运动等一系列复杂的运动状态，并得到了各轧辊出现不同运动状态的条件，为研究抑制轧机振动问题提供了有效的理论参考。

关键词: 冷轧机, 两自由度, 垂直振动, 动态轧制力