摘要
在考虑轧辊与轧件间的摩擦力、弹性力和轧辊偏心力的基础上,建立了板带轧机自动厚度控制系统(AGC)非线性参激振动模型,用多尺度法求解了振动系统在主参数共振情况下的一阶近似解,给出了振子的频率响应方程,用数值方法研究了定常解的稳定性,并应用最大Lyapunov指数和Poincare映射方法分析了轧辊偏心角频率对AGC系统非线性参激共振的影响。
The non-linear equation of the of the rolling mill automatic gauge control（AGC ）system is derived based on analyzing the friction between roll and warkpiece ,the flexibility and the roll eccentricity force. By means of a multiple-scales method,the existence and stability of periodic solutions in a first-order approximation close to the main parametric resonance are investigated,and the frequency-response equation is provided. Bifurcations of the system and regions of chaotic solutions are found. It follows from the maximal Lyapunov exponent and Poincare map that vibration of the rolling system appear more complex with larger excitation amplitude.
出处
《机械设计与制造》
北大核心
2010年第9期85-87,共3页
Machinery Design & Manufacture
基金
河北省教育厅基金资助项目(2007453)
河北省自然科学基金资助项目(F2009000796)
关键词
轧机
自动厚度控制(AGC)
非线性振动
参数激励
混沌
Rolling mill
Automatic gauge control（AGC）
Nonlinear vibration
Parametric excitation
Chaos
