STUDY ON THE NON-LINEAR VIBRATION IN THE HYDRAULIC SCREW DOWN VERTICAL SYSTEM FOR ROLLING MILL

ZHANG RuiCheng; MA YinZhou; GAO Zheng; WEN JiaHe

doi:10.16579/j.issn.1001.9669.2016.01.002

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STUDY ON THE NON-LINEAR VIBRATION IN THE HYDRAULIC SCREW DOWN VERTICAL SYSTEM FOR ROLLING MILL

更新时间：2022-09-22

- STUDY ON THE NON-LINEAR VIBRATION IN THE HYDRAULIC SCREW DOWN VERTICAL SYSTEM FOR ROLLING MILL
- Journal of Mechanical Strength Vol. 38, Issue 1, Pages: 6-11(2016)
- 作者机构：
  
  1. 河北联合大学电气工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2016.01.002
  CLC：
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ZHANG RuiCheng, MA YinZhou, GAO Zheng, et al. STUDY ON THE NON-LINEAR VIBRATION IN THE HYDRAULIC SCREW DOWN VERTICAL SYSTEM FOR ROLLING MILL. [J]. 38(1):6-11(2016)
DOI：

ZHANG RuiCheng, MA YinZhou, GAO Zheng, et al. STUDY ON THE NON-LINEAR VIBRATION IN THE HYDRAULIC SCREW DOWN VERTICAL SYSTEM FOR ROLLING MILL. [J]. 38(1):6-11(2016) DOI： 10.16579/j.issn.1001.9669.2016.01.002.

摘要

针对轧机垂振系统往往忽略液压压下系统影响的问题,考虑轧机液压系统中液压缸与机架间的粘性阻尼及轧制界面非线性刚度,建立了轧机二自由度液压压下垂直振动系统模型。采用多尺度法求解了该模型在主参数共振情况下的一阶近似解,得到了系统的频率响应方程,用数值方法研究了定常解的稳定性。分析了非线性刚度、液压缸的粘性阻尼等参数对系统振动的影响,并应用相平面法,Poincare映射方法和最大Lyapunov指数方法分析了激励频率变化对液压非线性参激垂直振动的影响。分析结果为工程中解决液压压下系统的振动问题提供了一种参考。

Abstract

For vertical vibration systems tend to ignore the influence of hydraulic screw down system in the rolling mill,two degrees of freedom hydraulic screw down vertical vibration system model was established based on viscous damping between the hydraulic cylinder and the frame,nonlinear stiffness between the rolling interface. 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. The impacts of nonlinear stiffness and viscous damping on the rolling mill vibration were analyzed,and the impacts of excitation frequency on non-linear vertical vibration were analyzed by the phase plane method,the Poincare mapping method and the maximum Lyapunov exponent. Analysis’ s results provide a reference for engineering to solve the vibration problem of hydraulic screw down system.

关键词

轧机液压压下参激垂直振动主共振混沌

Keywords

Rolling millHydraulic screw downParametric excitationVertical vibrationMain resonanceChaos

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