中文摘要：

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。

英文摘要：

The Establishment of dynamic force model was based on the consideration of the dy-namic changes of vibration displacement of cold rolling mill roller in vertical direction.The vibration influences of rolling mill＆#39;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 characteris-tic equation of system.Lastly,parameters of the actual mill were used to conduct a simulation re-search and parameters such as equivalent nonlinear stiffness of a mill system,damping,and extrane-ous force were analyzed how to affect the primary and internal resonance.The study of the character-istics of work roll and back up roll was carried out and found that as the changes of the external dis-turbance 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.