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

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