锻压技术

冷轧机主传动系统组合谐波动力学特性

英文标题：Combined harmonics dynamics characteristics for main drive system of cold rolling mill

作者：李丽范岩松钟琛豪

单位：内蒙古科技大学

分类号：TH113.1；TG335.1

出版年,卷(期):页码：2023,48(11):133-140

摘要：

针对冷轧机主传动系统运行时的失稳振动现象，建立了主传动系统扭振模型。综合考虑系统阻尼及刚度，应用多尺度法求解冷轧机主传动系统在组合谐波作用下的动力学特性方程。采用数值方法，通过幅频响应曲线、相平面图和系统振动分岔图等研究外扰激励幅值、系统阻尼和系统刚度对冷轧机主传动系统的影响。仿真结果表明：系统阻尼、系统刚度和外扰激励幅值的变化会对冷轧机主传动系统的幅值、共振区域以及脊骨线位置产生影响。系统状态也会随着系统参数的变化呈现出不同的周期性运动规律，产生失稳分岔和混沌现象。研究为冷轧机主传动系统的设计提供了参数域选择与理论指导。

For the unstable vibration phenomenon of main drive system of cold rolling mill during operation, the torsional vibration model of the main drive system was established. Then, taking system damping and stiffness into consideration comprehensively, the dynamic characteristic equation of the main drive system for rolling mill under the action of combined harmonics was solved by the multi-scale method. Furthermore, through numerical methods, the influences of external disturbance excitation amplitude, system damping and system stiffness on the main drive system of cold rolling mill were studied by means of amplitude-frequency response curve, phase plane diagrams and system vibration bifurcation diagrams. The simulation results show that the amplitude, resonance area and spine line position of the main drive system for cold rolling mill are affected by the changes in system damping,system stiffness and external disturbance excitation amplitude, and the system state also shows different periodic motion rules with the changing of the system parameters, resulting in unstable bifurcation and chaos phenomena. Thus, the research provides parameter domain selection and theoretical guidance for the design of the main drive system for cold rolling mill.

基金项目：

内蒙古自治区直属高校基本科研业务费项目(0406082305)

作者简介：李丽（1981-），女，硕士，副教授，E-mail：33302618@qq.com；通信作者：范岩松（1998-），男，硕士研究生，E-mail：fys1017@126.com

参考文献：

[1]Liu S, Li X, Tan S X, et al. Hopf bifurcation control for a coupled nonlinear relative rotation system with time-delay feedbacks[J]. Chinese Physics B, 2014, 23(10): 299-305.

[2]李海滨,王博华,张志强,等.一类非线性相对转动系统的组合共振分岔与混沌[J].物理学报,2012,61(9)：326-332.

Li H B, Wang B H, Zhang Z Q, et al. Combinatorial resonance bifurcation and chaos for a class of nonlinear relative rotation systems[J]. Acta Physica Sinica,2012, 61(9)：326-332.

[3]张瑞成,杨蔚海,梁卫征,等.板带轧机主传动非线性系统扭振控制[J]. 控制工程, 2018, 25 (12): 2128-2133.

Zhang R C, Yang W H, Liang W Z, et al. Torsional vibration control of strip rolling mill main drive nonlinear system [J]. Control Engineering of China, 2018, 25 (12): 2128-2133.

[4]高崇一,魏云平,秦红星,等.轧机主传动机电耦合扭振系统机理分析及影响因素研究[J].机械强度,2020,42(4):966-970.

Gao C Y, Wei Y P, Qin H X, et al. Research on mechanism and influebtial factors of torsional vibration of main drive electromechanical coupled system of rolling mill [J]. Journal of Mechanical Strength, 2020,42(4):966-970.

[5]华长春,陈佳强,陈健楠,等.未知扰动下冷轧机扭振自适应预定性能控制[J].机械工程学报,2021,57(4):202-209.

Hua C C, Chen J Q, Chen J N, et al. Adaptive prescribed performance control for torsional vibration of cold rolling mill with disturbance uncertainties[J]. Journal of Mechanical Engineering, 2021,57(4):202-209.

[6]Qian C, Xu J J, Hua C C, et al. Modeling and vertical torsional coupling vibration control of the rolling mill with full state constraints[J]. International Journal of Robust and Nonlinear Control,2022,32(9):5501-5519.

[7]侯东晓,陈善平,方成,等.万向接轴附加动态弯矩下板带轧机垂扭耦合振动特性研究[J].振动与冲击,2022,41(19):48-54，63.

Hou D X, Chen S P, Fang C, et al. Vertical-torsional coupled vibration characteristics of strip mill under additional dynamic bending moment of universal joint shaft[J]. Journal of Vibration and Shock, 2022,41(19):48-54，63.

[8]和东平,王涛,解加全，等.波纹辊轧机辊系主共振分岔控制研究[J].机械工程学报,2020,56(7):109-118.

He D P, Wang T, Xie J Q, et al. Research on principal resonance bifurcation control of roller system in corrugated rolling mills[J]. Journal of Mechanical Engineering, 2020, 56(7): 109-118.

[9]王运涛,王磊,田杰宇. 基于动态摩擦和分段刚度的热轧机水平振动行为分析[J].锻压技术，2022,47(4):200-206，226.

Wang Y T, Wang L, Tian J Y. Analysis on horizontal vibration behavior of hot rolling mill based on dynamic fiction and piecewise stiffness[J]. Forging & Stamping Technology, 2022,47(4):200-206，226.

[10]Peng Y, Cui J X, Sun J L, et al. Torsional vibration for rolling mill with the drive system shaft axis deviations[J]. Arabian Journal for Science and Engineering, 2021,46(12):165-177.

[11]Yoon J Y, Kim B. Stability and bifurcation analysis of super-and sub-harmonic responses in a torsional system with piecewise-type nonlinearities[J]. Scientific Reports，2021, （11）:23601.

[12]Yoon J Y, Kim B. Sub-Harmonic response analysis of nonlinear dynamic behaviors induced by piecewise-type nonlinearities in a torsional vibratory system[J]. Applied Sciences,2022,12(4):1845.

[13]吴继民,张义方,朱小龙,等.轧机主传动系统在双源扰动作用下的动力学特性研究[J].振动工程学报,2019,32(4):581-589.

Wu J M, Zhang Y F, Zhu X L, et al. Research on dynamic characteristics of main drive system in rolling mill under double source disturbance[J]. Journal of Vibration Engineering, 2019,32(4):581-589.

[14]张义方,闫晓强,凌启辉.负载谐波诱发轧机主传动机电耦合扭振仿真研究[J].工程力学,2015,32(1):213-217，225.

Zhang Y F, Yan X Q, Ling Q H. Simulation research of electromechanical coupling torsional vibration for mill main drive system induced by load harmonics[J]. Engineering Mechanics, 2015,32(1):213-217，225.

[15]李丽,郝宇超,李震.组合激励下冷轧机工作辊水平振动特性研究[J].振动与冲击, 2022,41(16):135-141.

Li L, Hao Y C, Li Z. Research on horizontal vibration characteristics of cold rolling mill work roll under combined excitation[ J]. Journal of Vibration and Shock, 2022, 41(16): 135-141.

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