基于负刚度吸振器的轧机辊系非线性垂振控制

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (7) : 96-106.

振动理论与交叉研究

基于负刚度吸振器的轧机辊系非线性垂振控制

段子衡1,2，和东平*1,2，徐慧东1,2，王涛1,2

作者信息 +

Nonlinear vertical vibration control of rolling mill roll system based on negative stiffness vibration absorber

DUAN Ziheng1,2, HE Dongping*1,2, XU Huidong1,2, WANG Tao1,2

Author information +

文章历史 +

摘要

轧机振动理论的研究一直是轧制成形领域的关键科学问题，对提高板材的质量以及设备的稳定性至关重要。为了对轧机辊系的非线性垂振现象进行合理的控制，设计了一种安装于上平衡梁处的负刚度吸振器，并建立了安装吸振器的轧机辊系非线性垂直振动模型。运用多尺度法求解得到了轧机辊系的主共振幅频特性方程，分析了轧制力、负刚度和阻尼的动态变化对系统幅频特性的影响，通过仿真分析了轧辊与负刚度吸振器相互作用的时域特性、频谱特性、幅频特性以及功率流特性。基于功率流理论并结合有限元仿真证明了模型建立的正确性以及负刚度吸振器的可行性，通过对比发现负刚度吸振器对于轧机非线性垂振有着良好的控制效果，为轧机非线性动力学分析及稳定性控制提供理论指导和技术支持。

Abstract

The research of rolling mill vibration theory has always been a key scientific problem in the field of rolling forming, which is very important to improve the quality of plate and the stability of equipment. In order to reasonably control the nonlinear vertical vibration phenomenon of the rolling mill roll system, a negative stiffness vibration absorber installed at the upper balance beam is designed, and a nonlinear vertical vibration model of the rolling mill roll system with vibration absorber is established. The amplitude-frequency characteristic equation of the main resonance of the rolling mill roll system is obtained by using the multi-scale method. The influence of the dynamic changes of rolling force, negative stiffness and damping on the amplitude-frequency characteristics of the system is analyzed. The time domain characteristics, frequency spectrum characteristics, amplitude-frequency characteristics and power flow characteristics of the interaction between the roll and the negative stiffness absorber are analyzed by simulation. Based on the power flow theory and finite element simulation, the correctness of the model establishment and the feasibility of the negative stiffness absorber are proved. By comparison, it is found that the negative stiffness absorber has a good control effect on the nonlinear vertical vibration of the rolling mill, which provides theoretical guidance and technical support for the nonlinear dynamic analysis and stability control of the rolling mill.

导出引用

段子衡1, 2, 和东平1, 2, 徐慧东1, 2, 王涛1, 2. 基于负刚度吸振器的轧机辊系非线性垂振控制[J]. 振动与冲击, 2025, 44(7): 96-106

DUAN Ziheng1, 2, HE Dongping1, 2, XU Huidong1, 2, WANG Tao1, 2. Nonlinear vertical vibration control of rolling mill roll system based on negative stiffness vibration absorber[J]. Journal of Vibration and Shock, 2025, 44(7): 96-106

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