锻压技术

多自由度冷连轧机耦合颤振机理与特性研究

英文标题：Study on coupling vibration mechanization and characteristics of multi-degree-of-freedom cold rolling mill

作者：彭荣荣巩长芬王帅冯小艳

单位：南昌工学院

分类号：TH113；O322

出版年,卷(期):页码：2017,42(10):119-126

摘要：

在分析冷连轧机辊系振动时垂直与水平两个方向轧制力的相互影响与轧机实际机械结构的基础上，建立了动态轧制力影响下的多自由度冷连轧机辊系垂直-水平耦合非线性振动模型。利用参数所占轧制力变化的比重，对动态轧制力变化部分中的各项敏感参数进行选取，得到了轧机多自由度耦合系统的动力学方程，应用谐波平衡法对其进行求解。依据轧机实际参数，仿真得到了系统在不同外激励变化下的轧机多自由度耦合系统幅频特性曲线，研究了耦合系统在一定参数下水平方向的周期倍化分岔及混沌的演化途径，且耦合系统垂直方向也呈现出了丰富的分岔与混沌现象。最后利用分岔图、相图、最大Lyapunov指数和Poincare截面对其动力学行为进行了分析与验证。

By analyzing the interaction of rolling force in both vertical and horizontal directions and the actual mechanical structure of cold rolling mill rolls, the verticalhorizontal coupling nonlinear vibration model of multidegreeoffreedom cold rolling mill rolls under the influence of dynamic rolling force was established. Then, the various sensitive parameters were selected in dynamic rolling force variation by taking advantage of parameters in the proportion of the rolling force variation, and the dynamic equation of multidegreeoffreedom coupling system for rolling mill was obtained, which is solved by applying the harmonic balance method. Furthermore, the characteristic curve of frequency amplitude of rolling mill with multidegreeoffreedom coupling system under different excitation forces was obtained by simulation based on the actual parameters of rolling mill, and the evolution approach of the horizontal period doubling bifurcation and chaos was studied under the certain parameters. Therefore, the coupling system also shows rich bifurcation and chaos phenomenon in the vertical direction. Finally, the dynamic behavior of coupling system was analyzed and verified by adopting bifurcation diagram, phase diagram, the maximum Lyapunov index and Poincare section.

基金项目：

江西省教育厅科学技术研究项目(GJJ151240)；南昌工学院科技计划项目（GJKJ-2015-32）

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

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