轧辊偏心影响下耦合振动系统主共振时滞反馈控制  

Feedback control on main resonance time-lag of coupled vibration system under influence of roller eccentricity

作　　者：张瑞成 赵文斌 梁卫征 Zhang Ruicheng;Zhao Wenbin;Liang Weizheng(College of Electrical Engineering,North China University of Science and Technology,Tangshan 063210,China)

机构地区：[1]华北理工大学电气工程学院,河北唐山063210

出　　处：《锻压技术》2025年第2期185-194,共10页Forging & Stamping Technology

基　　金：河北省自然科学基金资助项目(F2018209201);唐山市人才资助项目(B202302009);唐山市科技局科技计划项目(22130213G)。

摘　　要：考虑轧辊偏心和轧制界面非线性摩擦力的影响,建立了轧机垂直-水平耦合非线性振动的动力学模型。首先,采用多尺度法求解了在轧辊偏心力影响下的主共振幅频特性方程,分析了线性和非线性阻尼、非线性刚度以及轧辊偏心力的变化对耦合系统的影响;然后,利用奇异性理论探讨了主共振情况下系统的分岔特性,得到了系统的迁移集和不同开折参数下的拓扑结构;最后,设计了线性和非线性复合作用的时滞反馈控制器对主共振进行控制,并通过数值仿真验证了控制器设计的可行性。研究结果表明,所设计的控制器能够有效控制轧辊偏心对耦合系统主共振的影响。Considering the effects of roller eccentricity and nonlinear friction forces at the rolling interface,the dynamics model of verticalhorizontal coupled nonlinear vibration for the rolling mill was established.Firstly,the amplitude-frequency characteristic equations of the main resonance under the influence of roller eccentricity force were solved by the multi-scale method,and the influences of linear and nonlinear damping,nonlinear stiffness and roller eccentricity force changes on the system were analyzed.Furthermore,the bifurcation characteristics of the system under the main resonance were explored by using the singularity theory,and the transition set of the system and the topology structure under different open-folding parameters were obtained.Finally,a time-lag feedback controller with the combination of linear and nonlinear effects was designed to control the main resonance,and the feasibility of the controller design was verified by numerical simulation.The research results show that the designed controller can effectively control the influence of roller eccentricity on the main resonance of the coupled system.

关 键 词：耦合振动 轧辊偏心 幅频特性 时滞反馈控制 分岔 

分 类 号：TH113.1[机械工程—机械设计及理论]