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考虑轧辊表面振纹对辊系间的刚度变化的影响以及动态轧制力对振动系统的影响,依据轧机垂直振动的产生机理,建立了冷连轧机单自由度非线性颤振动力学模型。应用多尺度法求解得到了系统发生1/2亚谐共振时的幅频特性响应方程,仿真分析得到了不同参数变化对振动系统幅值以及振动区域的影响,并运用奇异性理论讨论了系统在非自治情况下的分岔特性,得到在3种不同情形下系统的转迁集与分岔拓扑结构图,给出了系统失稳的参数区域,从而可以避免轧机剧烈振动的发生,这为抑制和减少冷连轧机系统的振动提供了技术支撑与理论参考。
Considering the effect of roll surface vibration on the stiffness change of roll system and the influence of dynamic rolling force on the vibration system, a single-degree-of-freedom nonlinear flutter dynamic model of cold rolling mill was established according to the mechanism of vertical vibration of rolling mill. The multi-scale method is used to solve the amplitude-frequency characteristic response equation of 1/2 sub-harmonic resonance system. The influence of different parameters on the amplitude and vibration area of the vibration system is obtained by simulation analysis. The singularity theory Non-autonomous case of bifurcation characteristics, the system under three different cases of transition sets and bifurcation topological map, given the parameters of the system instability region, which can avoid the occurrence of severe rolling mill, which is to suppress And to reduce the cold mill system vibration provides a technical support and theoretical reference.