摘要
在考虑轧辊和轧件间摩擦力和水平方向非线性刚度和阻尼的基础上,建立了单辊驱动轧机水平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,给出了振动系统的频率响应方程,用数值方法研究了定常解的稳定性,并用分岔图、Poincare映射和Lyapunov指数方法分析了刚度波动对轧机水平非线性参激共振的影响。
The non-linear equation of horizontal motion of single-roll driving mill was derived based on analyzing the friction between roll and workpiece and considering the nonlinear stiffness and damping of the system.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 were investigated,and the frequency-response equation was provided.Bifurcations of the system and regions of chaotic solutions were found.By use of maximal Lyapunov exponent and Poincare map,it shows that vibration of the rolling system appears more complex under larger excitation amplitude.
出处
《振动与冲击》
EI
CSCD
北大核心
2010年第6期105-108,共4页
Journal of Vibration and Shock
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
非线性振动
参数激励
共振
混沌
rolling mill
nonlinear vibration
parametric excitation
resonance
chaos
