锻压技术

液压缸非线性作用下轧机辊系振动特性及机理研究

英文标题：Research on vibration characteristics and mechanism for rolling mill rolls under nonlinear action of hydraulic cylinder

作者：彭荣荣

单位：南昌工学院教育学院南昌工学院非线性动力学及应用研究中心

关键词：轧机液压缸非线性效应幅频特性分岔与混沌

分类号：O322；TH113

出版年,卷(期):页码：2022,47(11):172-178

摘要：

对轧机振动系统中液压缸的结构特点、运动特点以及相关因素的影响进行了分析，理论研究表明，液压缸非线性弹性作用可以由三势阱Mathieu-Duffing振子来描述。同时，考虑轧机辊系结构和外激励的影响，运用非线性动力学原理，建立了液压缸非线性作用下轧机颤振模型。通过数值仿真分析了液压缸弹性力一次线性项、三次和五次非线性项对轧机振动系统幅频特性的影响。最后，运用Melnikov定理求得轧机系统进入Smale马蹄存在意义下的混沌运动的临界条件，发现轧机系统随五次非线性项系数变化时，存在周期运动、多倍周期运动以及混沌运动等分岔行为。研究结论对揭示液压缸非线性弹性作用以及轧机振动机理具有一定的参考价值。

The structural characteristics and motion characteristics of hydraulic cylinder and the influence of related factors in the rolling mill vibration system were analyzed. The theoretical research shows that the nonlinear elastic action of the hydraulic cylinder can be described by the triple-well Mathieu-Duffing oscillator. At the same time, considering the influence of the structure and external excitation for rolling mill rolls, the chatter model of rolling mill under the nonlinear action of hydraulic cylinder was established by the nonlinear dynamic principle, and the influences of the first-order linear term, the cubic nonlinear term and the quintic nonlinear term of elastic force for the hydraulic cylinder on the amplitude-frequency characteristics of the rolling mill vibration system were analyzed by numerical simulation. Finally, the critical condition for the rolling mill system to enter chaotic motion in the sense of Smale horseshoe was obtained by the Melnikov′s theorem. And it was found that the rolling mill system had rich bifurcation behaviors such as periodic motion, multiple periodic motion and chaotic motion with the change of the quintic nonlinear term coefficient. Thus, the research results had a certain reference value for revealing the nonlinear elastic action of hydraulic cylinder and the vibration mechanism of rolling mill.

基金项目：

2021年度江西省教育厅科学技术研究项目 (GJJ212504)；2021年度南昌工学院科技计划博士专项(NGKJ-21-02)；南昌工学院非线性动力学及应用研究中心阶段性成果（NGYJZX-2021-04）

作者简介：彭荣荣（1987-），男，博士，副教授，E-mail：15294476178@163.com

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