论文部分内容阅读
针对轧机自动位置控制系统(APC)控制后的钢板不能准确停车,出现类似振动的现象,在考虑轧辊与钢板间的阻尼力、弹性力和轧辊偏心力的基础上,建立了一个轧机自动位置控制系统停车后的非线性模型。阐述了Lyapunov特性指数的计算方法,将Lyapunov指数作为APC系统非线性运动的混沌的判据,给出了Lyapunov指数与APC系统运动状态之间的关系,并用Poincare截面图、分叉图和最大Lyapunov指数方法分析了参数波动对轧机APC系统非线性参激振动的影响。研究结果表明该方法具有较好实用性,为进一步分析、诊断及控制此类系统的振动提供新的思路。
Aiming at the situation that the steel plate controlled by the automatic position control system (APC) of the rolling mill can not stop accurately and a similar vibration occurs, based on the damping force, elastic force and roller eccentricity between the roller and the steel plate, a rolling mill automatic position control Non-linear model of the system after parking. The calculation method of Lyapunov characteristic index is expounded. The Lyapunov exponent is used as the criterion of chaos in nonlinear motion of APC system. The relationship between Lyapunov exponent and the movement state of APC system is given. The Poincare section, bifurcation diagram and maximum Lyapunov The exponential method analyzes the influence of parameter fluctuation on nonlinear parametric vibration of the mill APC system. The results show that this method has good practicality and provides a new idea for further analysis, diagnosis and control of such systems.