锻压技术

冷连轧机辊系非线性耦合振动特性分析

英文标题：Analysis on nonlinear coupling vibration characteristics of cold rolling mill rolls

作者：彭荣荣

单位：南昌工学院

分类号：TH113；O322

出版年,卷(期):页码：2018,43(9):0-0

摘要：

考虑冷连轧机辊系振动时，垂直和水平两个方向的轧制力相互影响且处于动态变化，因此引入了动态轧制力这一概念。同时，考虑到轧机辊系间的非线性阻尼、非线性刚度以及外激励，建立了冷连轧机辊系非线性耦合振动模型。利用多尺度法求解了耦合振动系统的幅频响应，研究结果表明，非线性高次项刚度和外激励对轧机耦合系统的振幅影响明显，均出现了两个共振区域，且伴随着跳跃现象。进一步运用奇异性理论得到了系统的静态分岔方程，发现可以通过改变开折参数来预测和控制非线性耦合系统的动力学行为。最后，运用非线性理论分析并验证了系统的混沌特性，给出了发生混沌行为的临界点，从而减小和避免轧机辊系非线性耦合系统发生共振。

When the vibration of cold rolling mill rolls appears, the rolling forces in vertical and horizontal directions affect each other and are in dynamic changes, and the concept of dynamic rolling force was introduced. At the same time, considering the nonlinear damping, nonlinear stiffness and external excitation of rolling mill roll system, the nonlinear coupling vibration model of cold rolling mill roll system was established, and the amplitude frequency response of the coupling vibration system was solved by the multiple scale method. The results show that the nonlinear high-order stiffness and external excitation have obvious influence on the amplitude of coupling system of rolling mill, and there are two resonance regions accompanied by jumping phenomenon. Further, the static bifurcation equation of the system was obtained by singularity theory. And it is found that the dynamical behavior of nonlinear coupling system can be predicted and controlled by changing the unfolding parameters. Finally, the chaotic characteristics of the system were analyzed and verified by nonlinear theory, and the critical point of chaos behavior was given to reduce and avoid the resonance of nonlinear coupling system of rolling mill rolls.

基金项目：

江西省教育厅科学技术研究项目资助(GJJ151240) ；2017年度南昌工学院校级课题（NGKJ-17-02）

彭荣荣（1987-），男，硕士，讲师 E-mail：15294476178@163.com

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