锻压技术

谐波力矩和辊系偏心影响下轧机水平振动研究

英文标题：Study on horizontal vibration for rolling mill under influences of harmonic moment and roll system eccentricity

作者：张瑞成张世琦梁卫征

分类号：TH113.1；TG335.1

出版年,卷(期):页码：2023,48(10):18-191

摘要：

考虑谐波力矩和轧辊偏心的影响，建立了工作辊水平振动的动力学模型。采用多尺度近似解析法得到了在谐波力矩和轧辊偏心影响下工作辊水平方向的主共振、超谐波共振和亚谐波共振的幅频特性方程,分析了阻尼系数、轧制力非线性系数以及谐波力矩变化下系统的幅频特性。结果表明：系统阻尼系数的增大会使幅频特性曲线的幅值和共振区域变小；随着轧制力非线性系数和谐波力矩的增大，幅频特性曲线的曲率和幅值增大，系统的稳定性降低。最后，对模型进行数值求解，并通过相轨迹和分岔混沌图等方法分析了谐波力矩和辊系偏心影响下系统的运动规律，发现谐波力矩和轧辊偏心力共同作用时会导致工作辊在水平方向上的混沌运动范围增大，使系统更容易出现失稳现象。通过将模型的数值解与近似解对比，进一步验证了谐波力矩和轧辊偏心力会降低工作辊运行的稳定性。研究结果为稳定工作辊的运行提供了一定的理论依据。

Considering the influences of harmonic moment and roll eccentricity, a dynamic model of horizontal vibration for work roll was established, and the amplitude-frequency characteristic equations of horizontal principal resonance, super-harmonic resonance and sub-harmonic resonance of work roll under the influences of harmonic moment and roll eccentricity were obtained by multi-scale approximate analytic method. Then, the amplitude-frequency characteristics of the system under the changes of damping coefficient, nonlinear coefficient of rolling force and harmonic moment were analyzed. The results show that the amplitude and resonance region of the amplitude-frequency characteristic curve decrease with the increasing of the damping coefficient of the system, the curvature and amplitude of the amplitude-frequency characteristic curve increase with the increasing of the nonlinear coefficient of rolling force and the harmonic moment, and the stability of the system is reduced. Finally, the model was numerically solved, and the motion rules of the system under the influences of harmonic moment and roll system eccentricity were analyzed by the methods such as phase trajectory and bifurcation chaos diagrams. It is found that the chaotic motion range of work roll in the horizontal direction increases when the harmonic moment and the roll eccentricity force work together, making the system more prone to instability. By comparing the numerical solution of the model with the approximate solution, it is further verified that the harmonic moment and the roll eccentricity force reduce the stability of work roll. The results provide a theoretical basis for improving the operation stability of work roll.

基金项目：

河北省自然科学基金资助项目（F2018209201）；唐山市科技局科技计划项目（22130213G）；河北省省属高校基本科研业务费资助项目（JQN2021021）

张瑞成（1975-），男，博士，教授 E-mail：1063974891@qq.com

参考文献：

［1］Ali H, Mohammad R F. Optimization of cold rolling process parameters in order to increasing rolling speed limited by chatter vibrations
［J］. Journal of Advanced Research,2013,4（1）:27-34.

［2］张瑞成,陈至坤,王福斌.单辊驱动轧机水平非线性参激振动机理研究
［J］.振动与冲击,2010,29（6）:105-108,239.

Zhang R C, Chen Z K, Wang F B. Research on the mechanism of horizontal nonlinear parametrically excited vibration of single roll drive mill
［J］. Journal of Vibration and Shock, 2010,29（6）:105-108,239.

［3］Fan X B, Zang Y, Sun Y K,et al. Impact analysis of roller system stability for fourhigh mill horizontal vibration
［J］. Shock and Vibration, 2016,（5）:1-10.

［4］张明,彭艳,孙建亮,等.考虑上/下工作辊非对称运动的热轧机水平振动研究
［J］.中南大学学报:自然科学版,2017,48（12）:3239-3247.

Zhang M, Peng Y, Sun J L, et al. Horizontal vibration in hot tandem rolling mill considering asymmetric movement of upper and lower work rolls
［J］. Journal of Central South University:Science and Technology, 2017,48（12）:3239-3247.

［5］王运涛,王磊,田杰宇.基于动态摩擦和分段刚度的热轧机水平振动行为分析
［J］.锻压技术,2022,47（4）:200-206,226.

Wang Y T, Wang L, Tian J Y. Analysis on horizontal vibration behavior of hot rolling mill based on dynamic fiction and piecewise stiffness
［J］. Forging & Stamping Technology, 2022,47（4）:200-206,226.

［6］孙建亮,彭艳,高亚南,等.热连轧机水平振动仿真与实验研究
［J］.中南大学学报, 2015,46（12）:4497-4503.

Sun J L, Peng Y, Gao Y N,et al. Simulation and experiment of horizontal vibration of hot tandem rolling mill
［J］. Journal of Central South University, 2015,46（12）:4497-4503.

［7］闫晓强,杨喜恩,吴先峰.轧机水平振动侧向液压振动抑制器抑振效果仿真研究
［J］.振动与冲击,2013,32（24）:11-14.

Yan X Q, Yang X E, Wu X F. A simulation for hydraulic device vibrationsuppression effect on a rolling mill lateral vibration
［J］. Journal of Vibration and Shock, 2013,32（24）:11-14.

［8］Tang H P, Wang D Y, Zhong J. Investigation into the electromechanical coupling unstability of a rolling mill
［J］. Journal of Materials Processing Tech., 2002, 129（1）:294-298.

［9］张义方,闫晓强,凌启辉.负载谐波诱发轧机主传动机电耦合扭振仿真研究
［J］.工程力学,2015,32（1）:213-217,225.

Zhang Y F, Yan X Q, Ling Q H. Simulation research of electromechanical coupling torsional vibration for mill main drive system induced by load harmonics
［J］. Engineering Mechanics, 2015,32（1）:213-217,225.
［10］刘爽,张业宽,刘彬.轧机主传动机电耦联扭振系统的动态分岔研究
［J］.机械工程学报,2010,46（3）:83-89.

Liu S, Zhang Y K, Liu B. Dynamical bifurcation study on electromechanical coupling vibration in rolling mill′s drive system
［J］. Journal of Mechanical Engineering, 2010,46（3）:83-89.

［11］张瑞成,卓丛林.考虑磁参数影响的轧机主传动系统机电耦合振动特性研究
［J］.机械设计与制造,2015,（8）:128-132.

Zhang R C, Zhuo C L. Study on the vibration characteristics of the electromechanical coupling in the main drive system of rolling mill with impacts of the magnetic parameters
［J］. Machinery Design & Manufacture, 2015,（8）:128-132.

［12］毛钰,左曙光,邓文哲,等.基于实测相电流的永磁同步电机转矩波动阶次来源分析及幅值预测
［J］.振动与冲击,2018,37（15）:239-245.

Mao Y, Zuo S G, Deng W Z,et al. Order analysis and amplitude prediction of torque ripple in hub permanent magnet synchronous motors based on measured phase current
［J］. Journal of Vibration and Shock, 2018,37（15）:239-245.

［13］赵武,张鸿斌,孙超凡,等.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）:82-89,98.

Zhao W, Zhang H B, Sun C F, et al. A study on vertical flutter of cold rolling mill with cubic damping and gap variation
［J］. Journal of Vibration and Shock, 2021,40（24）:82-89,98.

［14］彭荣荣.动态轧制过程下轧机辊系分岔与混沌特性
［J］.机械设计与制造,2015,（6）:75-79.

Peng R R. Horizontal vibration of hot rolling mill and its relationship with rolling parameters
［J］. Machinery Design ＆ Manufacture, 2015,（6）:75-79.

［15］李丽,郝宇超,李震,等.冷连轧机多种水平共振状态特性对比研究
［J］.锻压技术,2021,46（10）:168-175.

Li L, Hao Y C, Li Z, et al.Comparative study on characteristics of multiple horizontal resonance states for tandem cold rolling mill
［J］. Forging & Stamping Technology, 2021,46（10）:168-175.

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