含间隙四自由度系统混沌动力学分析

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Slippage may result in the vibration of the drive system of rolling mill,which is a major reason of most system damage.A non-linear mechanical model and its corresponding mathematical model are established according to production problems of plate mill in the light of the rolling slippage of a rolling mill drive train with backlash at the palm end of roller.The Runge-Kutta method is used to solve the response of the system.The bifurcation diagram,the phase diagram and the Poincare sections graph of the system are obtained using MATLAB software.It is found that the slippage of rolling mill may cause the system＇s chaotic behaviors based on the analysis of the model and the numerical calculation results.The study results provid an important theoretical reference to control and analyze roll slippage.打滑极易引起轧机传动系统产生振动,是大多数轧机传动系统遭到异常损坏的主要因素。本文针对某厂轧机生产中出现的问题,考虑轧辊扁头、扁头套间隙和轧辊打滑状态,建立了该轧机主传动系统非线性动力学模型及数学模型,采用龙格库塔方法对系统动态响应进行数值计算,并利用MATLAB软件编程进行仿真分析,得到了系统的分岔图、相图和庞加莱截面。基于对模型和数值计算结果的分析,发现轧机打滑可能引起系统混沌现象。本文的研究成果可为控制和分析轧辊打滑提供重要的理论参考。