Principal resonance time-delay feedback control of roller system in corrugated rolling mills

被引：0
|
作者：
He D.-P. [1 ]
Wang T. [1 ]
Ren Z.-K. [1 ]
Feng G. [1 ]
Liu Y.-M. [1 ]
机构：
[1] College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan, 030024, Shanxi
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2020年 / 37卷 / 07期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Amplitude-frequency characteristic; Corrugated rolling mill; Multiscale method; Principal resonance; Time-delay feedback control;
D O I：
10.7641/CTA.2020.90367
中图分类号：
学科分类号：
摘要：
The composite sheet corrugated roll rolling technology is a revolutionary technology, the roll shape curve of corrugated roller is a cosine function curve. During the rolling process of composite plate, the nonlinear damping of the rolling interface and the nonlinear stiffness between corrugated roll and flat roll may cause principal resonance, resulting in the fluctuation of roll gap. Considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mill, establish the mathematical model of the two-freedom-degree vertical nonlinear of roller system in corrugated rolling mills. The stability of roller autonomous system of corrugated rolling mill is discussed by using singular value theory. The approximate analytical solution and amplitude-frequency characteristic equations of principal resonance of roller system excited by corrugated interface are carried out by using the multiple-scale method. The influences of nonlinear stiffness coefficient, nonlinear damping coefficient, system damping coefficient and rolling force amplitude on vibration are analyzed. The time-delay feedback controller with linear and nonlinear interactions is designed to control the principal resonance of the corrugated roll system, and the correctness and feasibility of the controller are verified by numerical simulation. © 2020, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
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页码：1552 / 1561
页数：9
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