东北大学学报（自然科学版）

东北大学学报（自然科学版） ›› 2013, Vol. 34 ›› Issue (11): 1615-1619.DOI: 10.12068/j.issn.1005-3026.2013.11.023

• 机械工程 • 上一篇    下一篇

变摩擦力下板带轧机辊系垂直-水平耦合振动特性

侯东晓1，彭荣荣2，刘浩然2   

  1. (1东北大学秦皇岛分校，河北秦皇岛066004；2燕山大学信息科学与工程学院，河北秦皇岛066004)
  • 发布日期:2013-07-09
  • 通讯作者: 侯东晓
  • 作者简介:侯东晓(1982-)，男，山西平遥人，东北大学讲师，博士.
  • 基金资助:
    国家自然科学基金资助项目(51105324);河北省科技支撑计划项目(13211907D);中央高校基本科研业务费专项资金资助项目(N110323008).

VerticalHorizontal Coupling Vibration Characteristics of Strip Mill Rolls Under the Variable Friction〓

HOU Dongxiao1， PENG Rongrong2， LIU Haoran2   

  1. 1. Northeastern University at Qinhuangdao， Qinghuangdao 066004， China; 2. Institute of Information Technology and Engineering， Yanshan University， Qinghuangdao 066004， China.
  • Published:2013-07-09
  • Contact: HOU Dongxiao
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摘要： 考虑轧辊振动情况下轧制界面间变摩擦力因素影响，基于Orowan变形区力平衡理论建立了垂直和水平方向的动态轧制力模型.在此基础上考虑轧机结构振动的影响，建立了板带轧机垂直-水平耦合非线性振动动力学模型.运用多尺度法对该系统进行求解，得到了系统的幅频响应方程，并采用1780轧机参数进行仿真，分析了非线性参数对幅频特性的影响.最后采用奇异性理论分析该耦合系统的分岔行为，得到该耦合系统在2参数平面内的6组不同转迁集及分岔图，这为进一步抑制轧机辊系振动提供了理论指导.

关键词: 轧机, 变摩擦力, 垂直-水平耦合振动, 分岔

Abstract: A dynamic rolling force model with variable friction factor in vertical and horizontal directions were obtained using the Orowan deformation area force balance theory. Then， a verticalhorizontal coupling nonlinear vibration dynamic model of strip mill was established considering the effect of the structure vibration. The approximate solution was solved by the multiplescale method， and the amplitudefrequency equation was obtained. Based on the actual parameters of 1780 rolling mill， the characteristics of amplitudefrequency were analyzed under different nonlinear parameters. Finally， the bifurcation behaviors of the coupling system was analyzed by the singularity theory， and 6 group different transition sets and bifurcation diagrams in the 2 parameter planes of the coupling system were obtained， which provided theoretical guidance for the further suppression of mill roll system vibration.

Key words: rolling mill, variable friction, verticalhorizontal coupling vibration, bifurcation

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