四辊冷带轧机非线性参激振动的研究  

STUDY ON PARAMETRICALLY EXCITED NONLINEAR VIBRATIONS ON 4-H COLD ROLLING MILLS

作　　者：陈勇辉[1] 史铁林[1] 杨叔子[1] 

机构地区：[1]华中科技大学机械工程学院,武汉430074

出　　处：《机械工程学报》2003年第4期56-60,共5页Journal of Mechanical Engineering

基　　金：国家重大基础研究项目基金(G1998020320);湖北省自然科学基金(2000j125)资助项目

摘　　要：建立了四辊冷带轧机2自由度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映射方法分析了轧件变形抗力对轧机参激共振的影响。Vibration analysis of nonlinear parametrically and self-excited 4-h cold rolling system of two degrees of freedom is carried out. The model contains two van der Pol oscillators coupled by a linear spring with a periodically changing stiffness. 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 equations are provided. Bifurcations of the system and regions of chaotic solutions are found. It follows from the maximal Lyapunov exponent and PoincarS map that vibrations of the rolling system appear more complex with larger excitation amplitude.

关 键 词：四辊冷带轧机 共振 混沌 参数激励 颤振 

分 类 号：TG333.72[金属学及工艺—金属压力加工] O322[理学—一般力学与力学基础]