锻压技术

液压缸非线性特性影响下的含动态间隙轧机辊系振动特性及控制

英文标题：Vibration characteristics and control on rolling mill roll system with dynamic clearance under influence of hydraulic cylinder nonlinear characteristics

作者：刘飞续书慧王晓婷王昕卓冯梦雨

单位：西安科技大学电气与控制工程学院

关键词：多分段弹性力动态间隙幅频特性分岔特性反馈变量控制振动

分类号：TH113；O332

出版年,卷(期):页码：2023,48(8):176-184

摘要：

为抑制四辊板带轧机垂直方向的振动，首先，考虑动态间隙影响下的分段非线性弹性力，建立分段非线性弹性力与动态轧制力共同作用下的轧机辊系动力学模型，使用平均法求解出该系统的幅频特性方程。然后，以轧机实际参数仿真液压油弹性模量变化时辊系的时域特性和频率特性，得到了对辊系振动行为的影响规律。比较辊系在不同液压系统参数变化下幅频特性响应的变化规律，通过分岔特性分析液压缸参数变化对系统振动行为的影响，得到了系统周期稳定运行时的参数区间。最后，设计状态反馈控制器实现对动态间隙轧机辊系的振动控制，并通过幅频特性和分岔特性可知，控制器能够有效减弱动态间隙对轧机辊系稳定性的影响，并抑制辊系的混沌行为，为抑制轧机辊系振动提供了理论参考。

In order to suppress the vibration in vertical direction of four-roll strip mill, firstly, considering the segmental nonlinear elastic force under the influence of dynamic clearance, the dynamic model of rolling mill roll system under the joint action of segmental nonlinear elastic force and dynamic rolling force was established, and the amplitude-frequency characteristic equation of the system was solved by using the average method. Then, the time-domain characteristics and frequency characteristics of the roll system when the elastic modulus of hydraulic oil changes were simulated with the actual parameters of rolling mill, and the influence laws on the vibration behavior of the roll system was obtained. Furthermore, the change laws of the amplitude-frequency response of the roll system under different hydraulic system parameter changes were compared, the influence of the hydraulic cylinder parameter change on the vibration behavior of the system was analyzed through the bifurcation characteristics, and the parameter interval was obtained when the system cycle was running stable. Finally, a state feedback controller was designed to realize the vibration control of the dynamic clearance rolling mill roll system. The analysis of amplitude-frequency characteristics and bifurcation characteristics shows that the controller can effectively weaken the influence of the dynamic clearance on the stability of rolling mill roll system, and suppress the chaotic behavior of the roll system, which provides a theoretical reference for suppressing the vibration of rolling mill roll system.

基金项目：

国家自然科学基金资助项目 (51905416); 陕西省教育厅科学研究计划项目（20JK0758）

作者简介：刘飞(1986-)，男，博士，讲师,E-mail：liufei@xust.edu.cn;通信作者：续书慧(1996-)，男，硕士研究生,E-mail：xushuhui1996@126.com

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