摘要
针对轧机垂扭耦合系统非线性振动机理研究还不完善的问题,考虑轧辊与轧件间动态轧制力因素影响,建立了垂直振动系统和主传动系统的动态轧制力模型。在此基础上,考虑轧辊摩擦力的动态分量,建立了基于动态轧制力的轧机二自由度垂扭耦合振动系统模型。利用相平面法和Poincare映射方法分析了垂直振动系统发生主共振的情况下,垂直振动系统的线性阻尼、外扰力和主传动系统的线性阻尼变化对轧机垂扭耦合振动的影响。研究结果表明当参数变化时系统呈现周期运动、准周期运动和混沌运动等多种运动状态,可通过调整参数值避免系统产生混沌现象,提高系统的稳定性。分析结果为工程中解决轧机垂扭耦合系统的振动问题提供了一种参考。
In view of the problem that the nonlinear vibration mechanism of the vertical-torsion coupling system of the rolling mill is not perfect,dynamic rolling force model of vertical vibration system and main drive system was established considering the effect of dynamic rolling force. Two degrees of freedom dynamic rolling force vertical-torsion coupling vibration model was established considering roller friction. The impact of linear damping,external force,damping of main drive system on coupling system vibration characteristics to the main parametric resonance in vertical vibration system were analyzed by the phase plane method,the Poincare mapping method. The results show that the system presents periodic motion,quasi periodic motion and chaotic motion with the parameters change. The chaos phenomena of the system can be avoided by adjusting the parameter values. The system stability can be improved. Analysis' s results provide a reference for engineering to solve the vibration problem of vertical-torsion coupling system.
引文
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