基于动态轧制力的轧机垂扭耦合系统非线性振动机理研究
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摘要
针对轧机垂扭耦合系统非线性振动机理研究还不完善的问题,考虑轧辊与轧件间动态轧制力因素影响,建立了垂直振动系统和主传动系统的动态轧制力模型。在此基础上,考虑轧辊摩擦力的动态分量,建立了基于动态轧制力的轧机二自由度垂扭耦合振动系统模型。利用相平面法和Poincare映射方法分析了垂直振动系统发生主共振的情况下,垂直振动系统的线性阻尼、外扰力和主传动系统的线性阻尼变化对轧机垂扭耦合振动的影响。研究结果表明当参数变化时系统呈现周期运动、准周期运动和混沌运动等多种运动状态,可通过调整参数值避免系统产生混沌现象,提高系统的稳定性。分析结果为工程中解决轧机垂扭耦合系统的振动问题提供了一种参考。
In view of the problem that the nonlinear vibration mechanism of the vertical-torsion coupling system of the rolling mill is not perfect,dynamic rolling force model of vertical vibration system and main drive system was established considering the effect of dynamic rolling force. Two degrees of freedom dynamic rolling force vertical-torsion coupling vibration model was established considering roller friction. The impact of linear damping,external force,damping of main drive system on coupling system vibration characteristics to the main parametric resonance in vertical vibration system were analyzed by the phase plane method,the Poincare mapping method. The results show that the system presents periodic motion,quasi periodic motion and chaotic motion with the parameters change. The chaos phenomena of the system can be avoided by adjusting the parameter values. The system stability can be improved. Analysis' s results provide a reference for engineering to solve the vibration problem of vertical-torsion coupling system.
In view of the problem that the nonlinear vibration mechanism of the vertical-torsion coupling system of the rolling mill is not perfect,dynamic rolling force model of vertical vibration system and main drive system was established considering the effect of dynamic rolling force. Two degrees of freedom dynamic rolling force vertical-torsion coupling vibration model was established considering roller friction. The impact of linear damping,external force,damping of main drive system on coupling system vibration characteristics to the main parametric resonance in vertical vibration system were analyzed by the phase plane method,the Poincare mapping method. The results show that the system presents periodic motion,quasi periodic motion and chaotic motion with the parameters change. The chaos phenomena of the system can be avoided by adjusting the parameter values. The system stability can be improved. Analysis' s results provide a reference for engineering to solve the vibration problem of vertical-torsion coupling system.
引文
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[8]张义方,闫晓强,凌启辉.基于连轧机垂扭耦合振动致变形区中性角振动研究[J].工程科学学报,2015,37(增刊1):98-102.(Zhang Yi-fang,Yan Xiao-qiang,Lin Qi-hui.Research on oscillation of neutral angle in deformation zone caused by vertical-torsional coupling vibration for tandem mill[J].Chinese Journal of Engineering,2015,37(Suppl.1):98-102.)
[9]王瑞鹏,彭艳,张阳.轧机耦合振动机理研究[J].机械工程学报,2013,49(12):66-71.(Wang Rui-peng,Peng Yan,Zhang Yang.Mechanism research of rolling mill coupled vibration[J].Journal of Mechanical Engineering,2013,49(12):66-71.)
[10]杨旭,童朝南,孟建基.冷板带轧机含振动因素的轧制力模型[J].振动、测试与诊断,2010,30(4):422-431.(Yang Xu,Tong Chao-nan,Meng Jian-ji.The rolling force model of strip mill with the vibration factor[J].Journal of Vibration,Measurement&Diagnosis,2010,30(4):422-431.)
[11]刘义伦,冷志坚,许宝玉.多机架连轧振动耦合的建模仿真分析[J].锻压技术,2010,3(35):99-105.(Liu Yi-lun,Leng Zhi-jian,Xu Bao-yu.Modeling simulation and analysis of coupled vibrations of multi-stand tandem rolling[J].Forging&Stamping Technology,2010,3(35):99-105.)
[12]Zhang Rui-cheng,Tong Chao-nan.Torsional vibration control of the main drive system of a rolling mill based on an extended state observer and linear quadratic control[J].Journal of Vibration and Control,2006,12(3):313-327.
[13]Thompson J M T,Stewart H B.Nonlinear dynamics and chaos[M].New York:Wiley,1986:127-193.
[14]刘彬,赵红旭,朱月.基于动态轧制力的冷轧机两自由度垂直振动特性[J].中国机械工程,2014,25(17):2344-2350.(Liu Bin,Zhao Hong-xu,Zhu Yue.Two degree of freedom vertical vibration characteristics of cold rolling mill based on dynamic rolling force[J].China Mechanical Engineering,2014,25(17):2344-2350.)
[15]刘飞,刘彬,刘浩然.轧制力动态特性影响下的轧机辊系振动行为研究[J].中国机械工程,2015,26(13):1731-1735.(Liu Fei,Liu Bin,Liu Hao-ran.Research on vibration behaviors of roll system influenced by dynamic characteristic of rolling force[J].China Mechanical Engineering,2015,26(13):1731-1735.)
[2]闫晓强.连轧机振动控制重要进展综述[J].冶金设备,2013(2):55-57.(Yan Xiao-qiang.Important progress on tandem rolling mill vibration control[J].Metallurgical Equipment,2013(2):55-57.)
[3]侯东晓,彭荣荣,刘浩然.变摩擦力下板带轧机辊系垂直-水平耦合振动特性[J].东北大学学报:自然科学版,2013,34(11):1615-1610.(Hou Dong-xiao,Peng Rong-rong,Liu Hao-ran.Vertical-horizontal coupling vibration characteristics of strip mill rolls under the variable friction[J].Journal of Northeastern University:Natural Science,2013,34(11):1615-1610.)
[4]范小彬,臧勇.热连轧机横向-垂向耦合振动研究[J].机械设计与制造,2011(4):93-95.(Fan Xiao-bin,Zang Yong.Hot rolling mill horizontal-vertical coupling vibration[J].Machinery Design&Manufacture,2011(4):93-95.)
[5]闫晓强,吴先峰,杨喜恩.热连轧机扭振与轴向振动耦合研究[J].工程力学,2014,31(2):214-218.(Yan Xiao-qiang,Wu Xian-feng,Yang Xi-en.Coupling research on torsional vibration and axial vibration of hot strip rolling mill[J].Engineering Mechanics,2014,31(2):214-218.)
[6]赵静,史荣,彭艳.基于实验研究的轧机垂扭耦合振动分析[J].实验力学,2012,3(27):319-325.(Zhao Jing,Shi Rong,Peng Yan.Rolling mill vertical-torsion coupling vibration analysis based on experimental study[J].Journal of Experimental Mechanics,2012,3(27):319-325.)
[7]闫晓强.热连轧机机电液耦合振动控制[J].机械工程学报,2011,47(17):61-65.(Yan Xiao-qiang.Machinery electrichy draulic coupling vibration control of hot continuous rolling mills[J].Journal of Mechanical Engineering,2011,47(17):61-65.)
[8]张义方,闫晓强,凌启辉.基于连轧机垂扭耦合振动致变形区中性角振动研究[J].工程科学学报,2015,37(增刊1):98-102.(Zhang Yi-fang,Yan Xiao-qiang,Lin Qi-hui.Research on oscillation of neutral angle in deformation zone caused by vertical-torsional coupling vibration for tandem mill[J].Chinese Journal of Engineering,2015,37(Suppl.1):98-102.)
[9]王瑞鹏,彭艳,张阳.轧机耦合振动机理研究[J].机械工程学报,2013,49(12):66-71.(Wang Rui-peng,Peng Yan,Zhang Yang.Mechanism research of rolling mill coupled vibration[J].Journal of Mechanical Engineering,2013,49(12):66-71.)
[10]杨旭,童朝南,孟建基.冷板带轧机含振动因素的轧制力模型[J].振动、测试与诊断,2010,30(4):422-431.(Yang Xu,Tong Chao-nan,Meng Jian-ji.The rolling force model of strip mill with the vibration factor[J].Journal of Vibration,Measurement&Diagnosis,2010,30(4):422-431.)
[11]刘义伦,冷志坚,许宝玉.多机架连轧振动耦合的建模仿真分析[J].锻压技术,2010,3(35):99-105.(Liu Yi-lun,Leng Zhi-jian,Xu Bao-yu.Modeling simulation and analysis of coupled vibrations of multi-stand tandem rolling[J].Forging&Stamping Technology,2010,3(35):99-105.)
[12]Zhang Rui-cheng,Tong Chao-nan.Torsional vibration control of the main drive system of a rolling mill based on an extended state observer and linear quadratic control[J].Journal of Vibration and Control,2006,12(3):313-327.
[13]Thompson J M T,Stewart H B.Nonlinear dynamics and chaos[M].New York:Wiley,1986:127-193.
[14]刘彬,赵红旭,朱月.基于动态轧制力的冷轧机两自由度垂直振动特性[J].中国机械工程,2014,25(17):2344-2350.(Liu Bin,Zhao Hong-xu,Zhu Yue.Two degree of freedom vertical vibration characteristics of cold rolling mill based on dynamic rolling force[J].China Mechanical Engineering,2014,25(17):2344-2350.)
[15]刘飞,刘彬,刘浩然.轧制力动态特性影响下的轧机辊系振动行为研究[J].中国机械工程,2015,26(13):1731-1735.(Liu Fei,Liu Bin,Liu Hao-ran.Research on vibration behaviors of roll system influenced by dynamic characteristic of rolling force[J].China Mechanical Engineering,2015,26(13):1731-1735.)