东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2017, Vol. 38 ›› Issue (12): 1754-1759.DOI: 10.12068/j.issn.1005-3026.2017.12.018

• 机械工程 • 上一篇    下一篇

非线性动态轧制过程下冷轧机参激振动特性

侯东晓， 王新刚， 张华伟， 赵红旭   

  1. (东北大学秦皇岛分校 控制工程学院， 河北 秦皇岛066004)
  • 收稿日期:2016-06-22 修回日期:2016-06-22 出版日期:2017-12-15 发布日期:2018-01-02
  • 通讯作者: 侯东晓
  • 作者简介:侯东晓(1982-)，男，山西平遥人，东北大学副教授，博士.
  • 基金资助:
    国家自然科学基金资助项目(51405068)； 河北省自然科学基金资助项目(E2014501006)； 河北省高等学校科学研究项目(ZD2014202).

Parametrically Excited Vibration Characteristics of Cold Rolling Mill Under Nonlinear Dynamic Rolling Process

ＨOU Dong-xiao， WANG Xin-gang， ZHANG Hua-wei， ZHAO Hong-xu   

  1. School of Control Engineering， Northeastern University at Qinhuangdao， Qinhuangdao 066004， China.
  • Received:2016-06-22 Revised:2016-06-22 Online:2017-12-15 Published:2018-01-02
  • Contact: HOU Dong-xiao
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摘要： 同时考虑轧制过程中非线性动态轧制力和辊面振纹导致的非线性参激刚度的影响，建立了非线性动态轧制过程下冷轧机参激振动动力学方程.应用多尺度法求解了轧机发生1/2亚谐共振时的幅频特性方程，得到了阻尼、参激刚度对系统亚谐共振的影响规律，并运用奇异性理论讨论了轧机在非自治情况下分岔特性.最后通过采用轧机实际参数进行数值仿真，得到系统各参数对幅频特性以及分岔和混沌特性的影响规律，发现系统参激刚度的变化会使轧机出现了周期运动和混沌等多种不同的运动形态，为进一步抑制轧机振动提供了理论参考.

关键词: 冷轧机, 动态轧制力, 参激振动, 共振, 分岔

Abstract: The parametrically excited dynamic equation under nonlinear dynamic rolling force is constructed， which considers the dynamic rolling force and the nonlinear parametrically excited stiffness caused by chatter mark of roll surface. Then the 1/2 subharmonic resonance amplitude-frequency equation of the system is calculated by the method of multiple scales， and the subharmonic resonance characteristics with the change of damping and parametrically excited stiffness are obtained， then the bifurcation characteristics of the system in the situation of non-autonomy is obtained by the use of singularity theory. Finally， by taking the actual parameters of the rolling mill， the amplitude-frequency characteristics， bifurcation and chaos characteristics in different parameters are analyzed， it is found that many different movement patterns such as periodic motion and chaos arises with the change of nonlinear parametrically excited stiffness， which provides a theoretical reference for the further suppression of the rolling mill vibration.

Key words: cold rolling mill, dynamic rolling force, parametrically excited vibration, resonance, bifurcation

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