波纹辊轧机辊系主共振分岔控制研究

doi:10.3901/JME.2020.07.109

机械工程学报 ›› 2020, Vol. 56 ›› Issue (7): 109-118.doi: 10.3901/JME.2020.07.109

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波纹辊轧机辊系主共振分岔控制研究

和东平, 王涛, 解加全, 任忠凯, 刘元铭, 马晓宝

太原理工大学机械与运载工程学院太原 030024

收稿日期:2019-03-15 修回日期:2019-08-13 出版日期:2020-04-05 发布日期:2020-05-12
作者简介:和东平,男,1989年出生,博士研究生。主要研究方向为波纹辊轧机振动特性分析及智能抑振策略。E-mail:tyuthdp@163.com;
王涛(通信作者),男,1985年出生,博士,副教授,硕士研究生导师。主要研究方向为轧制工艺及设备。E-mail:tyutwt@163.com
基金资助:
国家自然科学基金重点项目（U1710254）、国家自然科学青年基金（51804215）、山西省重点研发计划重点项目（201703D111003）、山西省高等学校科技创新项目（2017132）、山西省研究生教育创新项目（2019BY052）和太原市科技重大专项（170203）资助项目。

Research on Principal Resonance Bifurcation Control of Roller System in Corrugated Rolling Mills

HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai, LIU Yuanming, MA Xiaobao

College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024

Received:2019-03-15 Revised:2019-08-13 Online:2020-04-05 Published:2020-05-12

摘要/Abstract

摘要： 基于波纹轧制工艺与结构，利用检测装置对小型波纹辊辊系系统进行了振动特性分析。考虑了波纹轧制界面的非线性阻尼和非线性刚度，建立了波纹辊轧机辊系二自由度非线性主共振动力学方程，应用多尺度法求解了波纹辊轧机辊系在主共振情况下的幅频特性方程，采用奇异性理论和普适开折理论得到了波纹辊系统稳态响应的转迁集及相应的分岔曲线拓扑结构，通过设计非线性参数控制器来改变波纹辊辊系的稳态响应，减小了系统的响应幅值和消除了共振时的鞍结分岔。通过数值仿真验证了该控制器设计的正确性和可行性，为抑制波纹辊轧机的辊系振动提供了一定的理论指导。

关键词: 波纹辊轧机, 主共振, 多尺度法, 幅频特性, 分岔控制

Abstract: Based on corrugated rolling technology and structure, the vibration characteristic analysis of the small corrugated roll system is carried out by using the detecting device. Considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mill, the two degree of freedom nonlinear dynamic equation of principal resonance is established, the amplitude-frequency characteristic equations of principal resonance of roller system are carried out by using the multiscale scale method, the static response transition sets of the system and the topological structure of the corresponding the bifurcation are analyzed by the singular theory and universal unfolding theory, the nonlinear parameter controller is designed to change the steady-state response of the corrugated roll system, reduce the corresponding amplitude of the system and eliminate the saddle-node bifurcation at resonance. The correctness and feasibility of the controller design are verified by numerical simulation, which provides some theoretical guidance for restraining vibration of roller system of corrugated rolling mill.

Key words: corrugated rolling mill, principal resonance, multiscale method, amplitude-frequency characteristic, bifurcation control

中图分类号:

TG113

和东平, 王涛, 解加全, 任忠凯, 刘元铭, 马晓宝. 波纹辊轧机辊系主共振分岔控制研究[J]. 机械工程学报, 2020, 56(7): 109-118.

HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai, LIU Yuanming, MA Xiaobao. Research on Principal Resonance Bifurcation Control of Roller System in Corrugated Rolling Mills[J]. Journal of Mechanical Engineering, 2020, 56(7): 109-118.

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波纹辊轧机辊系主共振分岔控制研究

Research on Principal Resonance Bifurcation Control of Roller System in Corrugated Rolling Mills

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