基于动态轧制力的四辊轧机垂直-扭转耦合非线性振动特性研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (20) : 106-112.

论文

侯东晓，郭大武，陈小辉

作者信息 +

A study on vertical-torsional coupled nonlinear vibration characteristics of 4-h rolling mill based on dynamic rolling force

HOU Dongxiao，GUO Dawu，CHEN Xiaohui

Author information +

文章历史 +

摘要

考虑轧辊垂直振动位移和扭转振动角动态变化影响，建立了动态轧制力和动态轧制力矩模型。在此基础上进一步建立了四辊轧机垂直-扭转耦合非线性振动动力学模型。采用多尺度法得到了该轧机耦合振动系统的主共振幅频特性方程。采用实际轧机参数，分析了动态轧制力非线性参数、外扰力矩等参数变化对轧机垂直振动和扭转振动主共振幅频特性的影响，并研究了不同外扰力下该系统的分岔行为，得到轧机在垂直和扭转方向出现周期、倍周期以及混沌等振动行为的条件，这为进一步解决轧机的振动问题提供理论参考。

Abstract

Considering the effects of vertical vibration displacement and torsional angle of rolls, the dynamic rolling force and dynamic rolling torque were obtained. Then a vertical-torsional coupled nonlinear vibration dynamic model of 4-h rolling mill was established. By using the multiple scales method, the primary resonance amplitude-frequency characteristic equation of the coupled vibration system of the rolling mill was obtained. By taking the actual rolling mill parameter, the characteristics of amplitude-frequency in vertical and torsional directions were analyzed under different nonlinear parameters of dynamic rolling force, external disturbance torque and so on. At last, the bifurcation behavior of the rolling mill under different external disturbances was studied, and the conditions of nonlinear vibration behaviors such as periodic, period-doubling, chaotic motion in vertical and torsional directions were obtained, which provides theoretical guidance for further research of rolling mill vibration problems.

导出引用

侯东晓，郭大武，陈小辉. 基于动态轧制力的四辊轧机垂直-扭转耦合非线性振动特性研究[J]. 振动与冲击, 2020, 39(20): 106-112

HOU Dongxiao，GUO Dawu，CHEN Xiaohui. A study on vertical-torsional coupled nonlinear vibration characteristics of 4-h rolling mill based on dynamic rolling force[J]. Journal of Vibration and Shock, 2020, 39(20): 106-112

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