三次方阻尼和间隙变化下的冷轧垂直颤振研究

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摘要以提高轧材的成型精度为目的，研究了冷轧工艺系统轧制时的垂直颤振问题。建立了考虑三次方阻尼和间隙变化的冷轧系统的垂直颤振模型，利用势能函数得到了势阱曲线，并分析了势阱曲线中势阱以及势垒对系统动力特性的影响；通过数值仿真得到单参量变化时的冷轧垂直颤振系统的分岔图和最大Lyapunov指数图，明确了单参量变化对系统分岔特性的影响；进一步研究了系统在复杂工况下，双参量变化对冷轧垂直颤振系统动力特性的影响，通过分析双参平面分岔特性，明确了系统做混沌运动和周期运动的双参量匹配选择的参数分布区域。本文的研究揭示了冷轧垂直颤振系统在单参量和双参量变化下的动力学转换机理，可为冷轧工艺参数的规划设计和轧制工艺系统的抑振减振提供理论参考。

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	赵武1
	张鸿斌1
	孙超凡1
	Motasim Masood1
	黄丹2

关键词 ：冷轧机, 垂直颤振, 单参量分岔, 双参量分岔, 混沌运动, 周期运动

Abstract：In order to improve the rolling accuracy of strips, it is studied for the vertical flutter problem of the cold rolling mill during strip rolling in this paper. It is proposed for a vertical flutter model of the cold rolling mill considering the cubic damping and clearance changes. The potential well curve is obtained according to the potential energy function, where the influences of the potential well and the potential barrier on the dynamic characteristics of the system are analyzed. The bifurcation diagram and the maximum Lyapunov exponential diagram of the vertical flutter system of the cold rolling mill when the single parameter changing are obtained by numerical simulation, and the effects of the single parameter changing on the bifurcation characteristics of the system are clarified. Further, the effect of bi-parameter variation on the dynamic characteristics of the vertical flutter system of the cold rolling mill under more complicated conditions is studied. The bifurcation characteristics of bi-parameter plane are analyzed, and the bi-parameter matching area for the system to perform chaotic motion and periodic motion are clarified. It reveals the dynamic conversion mechanism of the vertical flutter system of the cold rolling mill under both single parameter and bi-parameter variation, which can provide a theoretical reference for the determination of the cold rolling mill processing parameters and the suppression / elimination of processing vibration.

Key words： Cold rolling mill Vertical flutter Single parameter bifurcation Bi-parameter bifurcation Chaotic motion Periodic motion.

收稿日期: 2020-08-11 出版日期: 2021-12-28

引用本文:

赵武1，张鸿斌1，孙超凡1，Motasim Masood1，黄丹2. 三次方阻尼和间隙变化下的冷轧垂直颤振研究[J]. 振动与冲击, 2021, 40(24): 82-89.
ZHAO Wu1，ZHANG Hongbin1，SUN Chaofan1，Motasim Masood1，HUANG Dan2. A study on vertical flutter of cold rolling mill with cubic damping and gap variation. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(24): 82-89.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I24/82

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