单辊驱动轧机水平非线性参激振动机理研究

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (6) : 105-108.

论文

单辊驱动轧机水平非线性参激振动机理研究

张瑞成; 陈至坤; 王福斌

作者信息 +

Study on parametrically excited horizon nonlinear vibration in single-roll driving mill system

Zhang Ruicheng ;Chen Zhikun ;Wang Fubin

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文章历史 +

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。

Abstract

The non-linear equation of the horizon motion of single-roll driving mill is derived based on analyzing the friction between roll and workpiece and the nonlinear stiffness and damp. 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.

导出引用

张瑞成;陈至坤;王福斌. 单辊驱动轧机水平非线性参激振动机理研究[J]. 振动与冲击, 2010, 29(6): 105-108

Zhang Ruicheng;Chen Zhikun;Wang Fubin. Study on parametrically excited horizon nonlinear vibration in single-roll driving mill system[J]. Journal of Vibration and Shock, 2010, 29(6): 105-108