Nonlinear vibration of corrugated rolling mill based on dynamic rolling force
HE Dong-ping1,2,3, XU Hui-dong1,2,3, WANG Tao1,2,3, LIU Jiang-lin1,2,3, LIU Yuan-ming1,2,3, ZHANG Jin-zhu1,2,3
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.
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.
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 and Steel, 2021, 56(6): 75-81.
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