动态轧制力下冷连轧机超亚谐共振特性分析  

Analysis of Super-Harmonic and Sub-Harmonic Resonance Characteristics of Tandem Cold Mill Under Dynamic Rolling Force

作　　者：彭荣荣[1] 巩长芬 王国威[1] 秦梅宝[1] PENG Rong-rong1, GONG Chang-fen2, WANG Guo-wei1, QIN Mei-bao1(1.Department of General Studies, Nanchang Institute of Technology, Jiangxi Nanchang 330108, China;2.School of Accountancy, Nanchang Institute of Technology, Jiangxi Nanchang 330108, Chin)

机构地区：[1]南昌工学院基础教学部,江西南昌330108 [2]南昌工学院会计学院,江西南昌330108

出　　处：《机械设计与制造》2018年第8期49-51,55,共4页Machinery Design & Manufacture

基　　金：江西省教育厅科学技术研究项目(GJJ151240);南昌工学院科技计划项目(GJKJ-15-32)

摘　　要：在考虑动态轧制力的基础之上,同时结合影响冷连轧机振动的机械结构、辊系间的非线性刚度以及周期性外激力等因素,建立了动态轧制力下的四辊冷连轧机非线性振动动力学模型。运用多尺度法求解得到了冷连轧机系统的3次超谐共振和1/3亚谐共振幅频特性方程,仿真分析了不同参数变化下系统的共振特性。发现外激力对超亚谐共振的影响均较微弱,可见轧制力的动态变化部分对系统所受外力有极好的调节作用。增大系统阻尼可以有效减小振幅和缩小共振区域,而非线性刚度对超谐和亚谐振动的影响比较剧烈,易造成系统出现失稳现象,因此需要选择适当的参数区间,使轧机得以平稳运行。On the basis of considering the dynamic rolling force,at the same time,according to influence the mechanical structure、the nonlinear stiffness between rolls and periodic external force and other factors of cold rolling mill vibration,establish the nonlinear vibration model of four roller cold rolling mill under the dynamic rolling force. The 3 super-harmonic resonance and 1/3 sub-harmonic resonance amplitude-frequency characteristic equation of the cold rolling mill system are carried out by using the multiple-scale method,and simulations are carried out to analyze the resonance characteristics of the system under different parameters. It is found that the influence of the external excitation force on the super harmonic resonance is weak,and the dynamic change of the rolling force has an excellent effect on the external force of the system.Increasing the system damping can effectively reduce the amplitude and narrow resonance region,while the effect of non-linear stiffness on the super harmonic and sub harmonic vibration is more intense,which easily cause system to the phenomenon of instability. So we need to select the appropriate parameter interval,so that the rolling mill can run smoothly.

关 键 词：轧机 动态轧制力 多尺度法 超谐振动 亚谐振动 幅频 

分 类 号：TH16[机械工程—机械制造及自动化] O322[理学—一般力学与力学基础]