轧机辊系垂直非线性参激振动特性分析

侯东晓;陈 浩;刘 彬;时培明

振动与冲击 ›› 2009, Vol. 28 ›› Issue (11) : 1-5.

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PDF(818 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (11) : 1-5.
论文

轧机辊系垂直非线性参激振动特性分析

  • 侯东晓;陈 浩;刘 彬;时培明
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THE ANALYSIS ON PARAMETRICALLY EXITEMENT NONLINEAR VERTICAL VIBRATION OF ROLLER SYSTEM IN ROLLING MILLS

  • Hou Dongxiao;Chen Hao;Liu Bin;Shi Peiming

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摘要

考虑了轧制界面间的非线性阻尼以及辊系间的非线性刚度,建立了四辊轧机辊系垂直非线性参激振动模型。采用多尺度法求解了系统在不同频率激励下的主共振、超谐波共振以及亚谐波共振的解析近似解,得到了系统的幅频特性方程。分析了该系统的稳定性,得到了阻尼与刚度对系统稳定性的影响关系。分析了非线性刚度、非线性阻尼等参数对系统振动的影响,得到非线性刚度的变化会引起激励幅值的跳跃,导致幅值的振荡。用数值仿真验证了分析结果的正确性。研究结果为抑制轧机辊系这类垂直颤振提供了一定理论指导。

Abstract

Abstract: A vertical nonlinear parametrically exited vibration model of 4-h rolling system is established, which considered the nonlinear damping and nonlinear stiffness between working rolls, The parse approximation solution under main frequency, ultra harmonics and inferior harmonics parametric resonance are carried out by using multiple-scales method, and the curve equations of amplitude-frequency are obtained. The stability characteristic is discussed and the effect relationship between stability and each parameter are obtained. The vibrational characteristic of system under nonlinear stiffness and nonlinear damping are analyzed. With the change of nonlinear stiffness, the amplitude appears the jumping phenomenon. It leads instability of the system. The numerical simulation indicated that the solution is validated. It could offer some theory guidance on controlling vibration in rolling mills.

关键词

轧机 / 参激振动 / 稳定性 / 主共振 / 超谐波共振

Key words

rolling mill / parametrically exited vibration

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导出引用
侯东晓;陈 浩;刘 彬;时培明. 轧机辊系垂直非线性参激振动特性分析[J]. 振动与冲击, 2009, 28(11): 1-5
Hou Dongxiao;Chen Hao;Liu Bin;Shi Peiming. THE ANALYSIS ON PARAMETRICALLY EXITEMENT NONLINEAR VERTICAL VIBRATION OF ROLLER SYSTEM IN ROLLING MILLS[J]. Journal of Vibration and Shock, 2009, 28(11): 1-5

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