摘要
在考虑轧机前后张力差造成的阻力矩基础上,针对传统轧机主传动系统模型忽略位移延时的缺点,建立了轧机主传动位移延时反馈系统的数学模型。分析了系统的局部稳定性和Hopf分岔的存在性,从理论上得到了延时临界值,并通过实验仿真得出的时间历程图、相图以及分岔图验证了当延时等于临界值时,轧机主传动位移延时反馈系统确实产生了Hopf分岔,从而得出了从生产工艺的角度加大轧制速度可以避免延时产生的不良影响,为进一步研究、控制轧机主传动系统提供了新思路。
A mathematic model for displacement delayed feedback system in main drive system of the rolling mill is derived based on resistance moment caused by tension difference before and after the mill,aiming at resolving shortcoming of ignoring delay in main drive system of traditional rolling mill.Then local stability of the system and existence of Hopf bifurcation are analyzed,so that a delay threshold is drawn from the theory.Simultaneously,time history chart,phase diagram and bifurcation chart are obtained from simulation experiments,which verify displacement delayed feedback system for the rolling mill main drive system does have Hopf bifurcation.Thus to increase rolling speed may avoid the adverse effects of delayed from the perspective of the production process while the delay equal to the critical value,which provides a new idea for further studying on controlling rolling mill drive system.
出处
《机械设计与制造》
北大核心
2012年第5期199-201,共3页
Machinery Design & Manufacture
基金
河北省自然科学基金资助项目(F2010000972)
关键词
轧机
主传动
位移延时
分岔
Rolling mill
Main drive system
Displacement delayed
Bifurcation
