锻压技术

轧制速度影响下冷连轧机辊系分岔行为分析

英文标题：Analysis on bifurcation behavior of cold rolling mill rolls influenced by rolling speed

作者：彭荣荣刘飞巩长芬

单位：南昌工学院西安科技大学

分类号：O322；TH113

出版年,卷(期):页码：2018,43(1):129-134

摘要：

在考虑轧机结构、轧机的实际动态轧制过程、轧制速度的变化以及轧制界面间摩擦系数的非线性特性等影响因素的基础之上，建立了一种受轧制速度影响的非线性动态轧制力模型。运用谐波平衡法求解振动系统的动力学方程，得到了受轧制速度影响的分岔响应方程，运用奇异性理论得到了系统的转迁集和拓扑结构曲线，研究了系统在不同参数下的静态分岔行为。同时，采用动态分岔图、相轨迹以及Poincare截面等非线性方法，分析了振动系统在周期运动、倍周期运动以及混沌运动之间相互转换的动态分岔特性，给出了系统发生振动的临界速度范围以及抑制措施。

A model of nonlinear dynamic rolling force effected by rolling speed was established by considering factors of rolling mill structure, actual dynamic rolling process of rolling mill, rolling speed changes and nonlinear characteristics of friction coefficient between rolling interfaces. Then, the dynamic equation of vibration system was solved by harmonic balance method, and the bifurcation response equations influenced by rolling speed were obtained. Furthermore, the transition sets and topological structure curve of the system were obtained by singularity theory, and the static bifurcation behavior of the system was researched under different parameters. At the same time, the dynamic bifurcation characteristics of the vibration system in the interconversion of periodic motion, period-doubling motion and chaotic motion were analyzed by the nonlinear methods of dynamic bifurcation diagram, phase trajectory and Poincare section, and the critical speed range and suppression measures of system vibration were given.

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）

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

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