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| 基于动态轧制力的波纹辊轧机非线性振动 | |
| 引用本文： | 和东平,徐慧东,王涛,刘江林,刘元铭,张金柱.基于动态轧制力的波纹辊轧机非线性振动[J].钢铁,2021,56(6):75-81. |
| 作者姓名： | 和东平 徐慧东 王涛 刘江林 刘元铭 张金柱 |
| 作者单位： | 1.太原理工大学机械与运载工程学院, 山西 太原 030024; 2.太原理工大学先进成形与智能装备研究院, 山西 太原 030024; 3.先进金属复合材料成形技术与装备教育部工程研究中心, 山西 太原 030024 |
| 基金项目： | 国家重点研发计划资助项目(2018YFA0707300); 国家自然科学基金资助项目(51974196, 51905372); 山西省重点研发计划资助项目(201703D111003); 山西省应用基础面上青年基金资助项目(201801D221130, 201901D211011); 山西省高等学校科技创新资助项目(2019L0258,2019L0176); 山西省应用基础研究面上资助项目(201801D121021) |
| 摘 要： | 金属层状复合板波纹辊轧制成形技术是一项变革性技术。为研究动态轧制力对波纹辊轧机振动特性和分岔行为的影响,考虑了波纹辊轧机动态轧制力、波纹界面间的非线性刚度和非线性阻尼,建立了基于动态轧制力的波纹辊轧机非线性振动数学模型。运用多尺度法求解了波纹辊轧机辊系在动态轧制力激励下的非线性振动幅频特性方程。分析了动态轧制力幅值、非线性刚度系数和非线性阻尼系数等参数对非线性振动的影响。通过最大Lyapunov指数、分岔混沌图、Poincaré截面和相轨迹等方法分析了轧制力的动态变化对系统稳定性的影响,设计了分岔反馈控制器对轧制力动态变化诱发的分岔行为进行控制,并且通过数值仿真验证了控制器设计的正确性和可行性。 |
| 关 键 词： | 波纹辊轧机 动态轧制力 非线性振动 分岔 混沌 |
| 收稿时间： | 2020-09-02 |
Nonlinear vibration of corrugated rolling mill based on dynamic rolling force |
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| HE Dong-ping,XU Hui-dong,WANG Tao,LIU Jiang-lin,LIU Yuan-ming,ZHANG Jin-zhu.Nonlinear vibration of corrugated rolling mill based on dynamic rolling force[J].Iron & Steel,2021,56(6):75-81. | |
| Authors: | HE Dong-ping XU Hui-dong WANG Tao LIU Jiang-lin LIU Yuan-ming ZHANG Jin-zhu |
| Affiliation: | 1. College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China; 2. Institute of Advanced Forming and Intelligent Equipment, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China; 3. Engineering Research Center of Advanced Metal CompositesForming Technology and Equipment, Ministry of Education, Taiyuan 030024, Shanxi, China |
| Abstract: | The composite sheet corrugated roll rolling technology is revolutionary. In order to study the influence of dynamic rolling force on the vibration characteristics and bifurcation behavior of the corrugated roll mill, the dynamic rolling force,the nonlinear stiffness within the corrugated interface and the nonlinear damping of the corrugated rolling mill are considered,and the mathematical model of the nonlinear vibration of the corrugated rolling mill is established based on the dynamic rolling force. The amplitude-frequency characteristic equations of nonlinear vibration of the roller system excited by dynamic rolling force are carried out by using the multiple-scale method. The influences of dynamic rolling force amplitude,nonlinear stiffness coefficient,and nonlinear damping coefficient on vibration are analyzed. The influence of dynamic rolling force changes on system stability is analyzed by the largest Lyapunov exponent,bifurcation chaos diagram,Poincaré section map,and phase trajectory. The dynamic bifurcation feedback controller is designed to control the bifurcation behavior induced by the dynamic change of rolling force and the correctness and feasibility of the controller are verified by numerical simulation. |
| Keywords: | corrugated rolling mill dynamic rolling force nonlinear vibration bifurcation chaos |
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