摘要
引入Duffing振子和参激刚度项后建立机座辊系的垂振非线性动力学模型,通过仿真与实测的对比,选用立方函数形式的轧件迟滞模型。仿真结果表明,轧辊振幅在一定条件下出现分岔,振动呈现混沌。通过对实测数据的时频分析,表明振动主频及其谱值随时间有显著的变化,并有分数谐共振或组合共振。关联维数及最大李雅普诺夫指数的计算结果也表明了垂振系统的非平稳及混沌特征。
The nonlinear dynamic model of rolling mill vertical vibration was established by introduction to Duffing oscillator and the parametrically excited stiffness. A cubic function hysteresis model of strip was choosen by contrasting the simulation and the measured results. From the simulation results, it shows that the roll amplitude appears bifurcated under certain conditions, and the vibration presents chaos. Through the time-frequency analysis of measured data, it shows that the value of vibration frequency and its spectrum have significant changes over time. And there are harmonic resonance or combination resonance. It also shows that the vertical vibration system has non-stationary and chaotic characteristics by correlation dimension and largest Lyapunov exponent calculation.
出处
《中国机械工程》
CAS
CSCD
北大核心
2010年第15期1801-1804,共4页
China Mechanical Engineering
关键词
轧机
振动
时频分析
混沌
rolling mill
vibration
time-frequency analysis
chaos
