板带轧机液压压下-垂直振动特性研究

doi:10.12068/j.issn.1005-3026.2022.07.009

摘要/Abstract

摘要： 考虑板带轧机垂直振动对液压压下系统中四通伺服电磁阀非线性流量的影响，推导出非线性流量变化下的液压缸的非对称分段弹簧力，并建立了板带轧机液压压下-垂直振动动力学方程.运用平均法求解出该轧机振动系统的幅频响应方程，并利用奇异性理论求解了轧机在动态轧制过程的分岔特性，得到4组不同的转迁集及其对应的分岔图，分析了开折参数对轧机分岔特性的影响.最后以实际轧机参数为例，通过仿真发现系统幅频曲线在分段处出现拐弯特性，调整伺服阀响应时间可降低系统振幅不稳定频率区域，通过调整外激励幅值与阻尼比等参数可有效改善系统共振情况，为进一步抑制轧机辊系振动提供理论参考.

关键词: 液压压下-垂直振动；板带轧机；非线性流量；非对称分段弹簧力；分岔

Abstract: Considering the effect of the vertical vibration of the strip mill on the non-linear flow rate of the four-way servo solenoid valve in the hydraulic system， the asymmetric segmented spring force of the hydraulic screw down cylinder under the non-linear flow rate change is derived. The dynamic equations of hydraulic screw down-vertical coupling vibration of the strip mill are established. The averaging method is used to solve the amplitude-frequency response equation of the coupled vibration system of the rolling mill， and the bifurcation characteristics of the rolling mill in the dynamic rolling process are solved using the singularity theory. Four different transition sets and their corresponding bifurcation diagrams are obtained. The effect of the unfolding parameters on the bifurcation characteristics of the rolling mill are analyzed. Finally， based on the actual rolling mill parameters， it is found through simulation that the amplitude-frequency curve of the system has turning characteristics at the section. Adjusting the response time of the servo valve can reduce the unstable frequency area of the coupling system. By adjusting the external excitation amplitude and damping ratio and other parameters， the resonance of the coupled system can be effectively improved. This can provide a theoretical reference for further suppressing the vibration of the roll system of the rolling mill.

Key words: hydraulic screw down-vertical vibration; strip rolling mill; non-linear flow rate; asymmetrical segmented spring force; bifurcation

中图分类号:

TH113.1

侯东晓，方成，陈善平，阎爽. 板带轧机液压压下-垂直振动特性研究[J]. 东北大学学报（自然科学版）, 2022, 43(7): 972-980.

HOU Dong-xiao， FANG Cheng， CHEN Shan-ping， YAN Shuang. Research on Hydraulic Screw down-Vertical Vibration Characteristics of Strip Rolling Mill[J]. Journal of Northeastern University(Natural Science), 2022, 43(7): 972-980.

参考文献

[1]Yang X，Tong C N，Yue G F，et al.Coupling dynamic model of chatter for cold rolling［J］.Journal of Iron and Steel Research International，2010，17(12):30-34.
[2]Krot P.Nonlinear vibrations and backlashes diagnostics in the rolling mills drive trains［C］//Proceedings of 6th EUROMECH Nonlinear Dynamics Conference.Saint Petersburg，2008:26-30.
[3]Tang H P，Wang D Y，Zhong J.Investigation into the electromechanical coupling unstability of a rolling mill［J］.Journal of Materials Processing Technology，2002，129(1):294-298.
[4]Paton D L，Critchley S.Tandem mill vibration:its cause and control［J］.Iron and Steel Making，1985，12(3):37-43.
[5]Zhu Y，Tang S，Wang C，et al.Bifurcation characteristic research on the load vertical vibration of a hydraulic automatic gauge control system［J］.Processes，2019，7(10):718-727.
[6]Zhao H Y，Ehmann K F.Stability analysis of chatter in tandem rolling mills single-and multi-stand negative damping effect［J］.Journal of Manufacturing Science and Engineering，2013，135(3):1-19.
[7]Gao Z Y，Zang Y，Wu D P.HOPF bifurcation and feedback control of self-excited torsion vibration in the drive system［J］.Noise & Vibration Worldwide，2011，2(10):68-74.
[8]Heidari A，Forouzan M R.Optimization of cold rolling process parameters in order to increasing rolling speed limited by chatter vibrations［J］.Journal of Advanced Research，2013，4(1):27-34.
[9]Yun I S，Wilson W R D，Ehmann K F.Review of chatter studies in cold rolling［J］.International Journal of Machine Tools and Manufacture，1998 38(12):1499-1530.
[10]Hu P H，Ehmann K F.A dynamic model of the rolling process.Part Ⅰ:homogeneous model［J］.International Journal of Machine Tools and Manufacture，2000，40(1):1-19.
[11]Hu P H，Ehmann K F.A dynamic model of the rolling process.Part Ⅱ:inhomogeneous model［J］.International Journal of Machine Tools and Manufacture，2000，40(1):21-31.
[12]Johnson R，Qi Q.Chatter dynamics in sheet rolling［J］.International Journal of Mechanical Sciences，1994，6(7):617-630.
[13]Swiatoniowski A，Bar O.Mathematical modeling of the high frequency vibrations during cold rolling process［J］.Archives of Metallurgy and Materials，2013，58(4):1085-1091.
[14]Swiatoniowski A，Bar A.Parametrical excitement vibration in tandem mills-mathematical model and its analysis［J］.Journal of Materials Processing Technology，2003，134(2):214-224.
[15]侯东晓，刘彬，时培明，等.分段非线性轧机辊系系统的分岔行为研究.［J］.振动与冲击，2010，29(12):138-141.(Hou Dong-xiao，Liu Bin，Shi Pei-ming，et al.Research on the bifurcation behavior of the piecewise nonlinear rolling mill roll system［J］.Shock and Vibration，2010，29(12): 138-141.)
[16]刘浩然，刘飞，侯东晓，等.多非线性弹性约束下轧机辊系振动特性［J］.机械工程学报，2012，48(9):89-94.(Liu Hao-ran，Liu Fei，Hou Dong-xiao，et al.Vibration characteristics of mill rolls under multi-segment nonlinear elastic constraints［J］.Journal of Mechanical Engineering，2012，48(9):89-94.)
[17]刘飞，刘彬，时培明，等.液压缸非线性约束下的轧机辊系振动行为［J］.机械工程学报，2014，50(24):59-65.(Liu Fei，Liu Bin，Shi Pei-ming，et al.Vibration behavior of roll system under nonlinear constraints of the hydraulic cylinder［J］.Journal of Mechanical Engineering，2014，50(24):59-65.)
[18]刘彬，潘贵翔，李鹏，等.液压缸非线性弹簧力下的轧机特性及控制［J］.中国机械工程，2018，29(24):2925-2932.(Liu Bin，Pan Gui-xiang，Li Peng，et al.Rolling mill characteristics and control under nonlinear spring force of hydraulic cylinder［J］.China Mechanical Engineering，2018，29(24):2925-2932.)
[19]张永顺，姜万录，李振宝.轧机液压压下系统非线性振动诱因分析［J］.钢铁，2020，55(4):106-112.(Zhang Yong-shun，Jiang Wan-lu，Li Zhen-bao.Analysis of nonlinear vibration inducements of rolling mill hydraulic reduction system［J］.Iron & Steel，2020，55(4):106-112.)
[20]Feng H，Du Q G，Huang Y X.et al.Modelling study on stiffness characteristics of hydraulic cylinder under multi-factors［J］.Journal of Mechanical Engineering，2017，63(7):447-456.
[21]郜志英，臧勇，曾令强.轧机颤振建模及理论研究进展［J］.机械工程学报，2015，51(16):87-105.(Gao Zhi-ying，Zang Yong，Zeng Ling-qiang.Review of modelling and theoretical studies on chatter in the rolling mills［J］.Journal of Mechanical Engineering，2015，51(16):87-105.)
[22]Tamiya T，Furui K，Lida H.Analysis of chattering phenomenon in cold rolling［C］//Proceedings of Science and Technology of Flat Rolled Products.Tokyo: International Conference on Steel Rolling，1980:1191-1202.
[23]彭荣荣，巩长芬.分段对称非线性刚度作用下的轧机辊系分岔与混沌行为分析［J］.锻压技术，2019，44(5):99-104.(Peng Rong-rong，Gong Chang-fen.Analysis on bifurcation and chaos behavior of mill rolls under piecewise symmetric nonlinear stiffness［J］.Forging and Stamping Technology，2019，44(5):99-104.)