A study on vertical vibration characteristics of strip mill under mixed lubrication
HOU Dongxiao1, XU Liang1, SHI Peiming2
1. School of Control Engineering,Northeastern University at Qinhuangdao, Qinhuangdao 066004, China;
2. School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Abstract:Considering that the lubrication friction state in the rolling process is mixed lubrication, a dynamic rolling force model is established based on the Karman force balance theory. On this basis, a nonlinear dynamic model of strip rolling mill in vertical direction under the mixed lubrication is established according to the structure of the rolling mill. The vibration model is solved by using multi-scale method, then the primary resonance amplitude-frequency equation of the system is obtained. Numerical simulations were carried out using actual parameters. The effects of nonlinear parameters and external disturbance force on the amplitude-frequency characteristics of the primary resonance were analyzed. Bifurcation diagrams with external disturbance force amplitude and inlet oil film thickness as variables were obtained. When the amplitude of the external disturbance force and the thickness of the inlet oil film change, the system will appear a variety of movements such as periodic-double and chaotic, but the appropriate stiffness will make the system insensitive with the oil film thickness changing.
侯东晓1,徐良1,时培明2. 混合润滑状态下板带轧机垂直振动特性研究[J]. 振动与冲击, 2021, 40(24): 243-248.
HOU Dongxiao1, XU Liang1, SHI Peiming2. A study on vertical vibration characteristics of strip mill under mixed lubrication. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(24): 243-248.
[1] 曾令强,臧勇,郜志英,等.轧机整体耦合建模问题研究[J].机械工程学报,2015,51(14):46-53.
ZENG Ling-qiang, ZANG Yong, GAO Zhi-ying, et al. Study on Overall Coupled Modeling of the Rolling Mill[J]. Journal of Mechanical Engineering, 2015, 51(14):46-53.
[2] 王瑞鹏,彭艳,张阳,等.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, et al. Mechanism Research of Rolling Mill Coupled Vibration[J]. Journal of Mechanical Engineering, 2013, 49(12):66-71.
[3] 侯福祥,张杰,曹建国,等.带钢冷轧机振动问题的研究进展及评述[J].钢铁研究学报,2007(10):6-10+39.
HOU Fu-xiang, ZHANG Jie, CAO Jian-guo, et al. Review of Chatter Studies in Cold Rolling[J].Journal of Iron and Steel Research, 2007(10):6-10+39.
[4] 闫晓强,王辉,周杰,许建忠,单为春.现代连轧机耦合振动抑制重要进展[J].中国冶金, 2014,24(04):1-4.
YAN xiao-qiang, WANG Hui, ZHOU Jie, et al. Important Progress of Coupling Vibration Inhibition on Modern Tandem Mill[J]. China Metallurgy, 2014,24(04):1-4.
[5] 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 Xiaoqiang. Machinery-electric-hydraulic Coupling Vibration Control of Hot Continuous Rolling Mills[J]. Journal of Mechanical engineering,2011,47(17):61-65.
[6] 刘浩然,侯东晓,时培明,等.轧机辊系滞后非线性垂直振动系统的振动特性[J].机械工程学报, 2011, 47(13): 65-71.
LIU Hao-ran, HOU Dong-xiao, SHI Pei-ming, et al. Vibration Characteristics of Hysteretic Nonlinear Vertical Vibration System of Rolling Mill Roller[J]. Journal of Mechanical Engineering, 2011, 47(13): 65-71.
[7] SHI Pei-ming, LI Ji-zhao, JIANG Jin-shui, et al. Nonlinear Dynamics of Torsional Vibration for Rolling Mill's Main Drive System Under Parametric Excitation[J]. Journal of Iron and Steel Research, International, 2013, 20(1):07-12.
[8] AMER YA, EL-SAYED AT, EI-BAHRAWY FT. Torsional Vibration Reduction for Rolling Mill's Main Drive System Via Negative Velocity Feedback under Parametric Excitation[J]. Journal of Mechanical Science and Technology, 2015, 29(4):1581-1589.
[9] 范小彬,臧勇,王会刚. 热连轧机水平振动特性研究[J]. 钢铁, 2010, 45(9): 62-66.
FAN Xiao-bin, ZANG Yong, WANG Hui-gang. Research on Hot Rolling Mill Horizontal Vibration[J]. Iron and Steel, 2010, 45(9): 62-66.
[10] 孙建亮,刘宏民,李琰赟,等. 热连轧机水平振动及其与轧制参数影响关系[J]. 钢铁, 2015, 50(1): 43-49.
SUN Jian-liang, LIU Hong-min, LI Yan-yun, et al. Horizontal Vibration of Hot Rolling Mill and Its Relationship with Rolling Parameters[J]. Iron and Steel, 2015, 50(1): 43-49.
[11] ZENG Ling-qiang, ZANG Yong, GAO Zhi-ying. Hopf Bifurcation Control for Rolling Mill Multiple-mode-coupling Vibration under Nonlinear Friction[J]. Journal of Vibration and Acoustics, 139(6).
[12] LIU Shuang, WANG Zhao-long, WANG Jin-jin. Sliding Bifurcation Research of a Horizontal-torsional Coupled Main Drive System of Rolling Mill[J]. Nonlinear Dyn, 2016, 83: 441-455.
[13] 付括,臧勇,郜志英. 轧制界面非稳态流体润滑轧制特性[J]. 北京科技大学学报, 2014, 36(1): 97-103.
FU Kuo, ZANG Yong, GAO Zhi-ying. Fluid Lubrication Rolling Characteristics of Unsteady Rolling Interfaces[J]. Journal of University of Science and Technology Beijing, 2014, 36(1): 97-103.
[14] WANG Qiao-yi, ZHANG Ze, CHEN Hui-qin, et al. Dynamic Behaviour of Cold Rolling Mill with Unsteady Lubrication Roll-gap Interface during Sheet Metal Forming Process[J]. Surface Science and Engineering, 2015, 9(4): 343-358.
[15] AKIRA azushima, SATOSHI inagaki, HIROKI ohta. Plating Out Oil Film Thickness on Roll and Workpiece During Cold Rolling with O/W Emulsion[J]. Tribology Transactions, 2011,54: 275-281.
[16] FUJITA Noriki, KIMURA Yukio. Influence of Plate-out Oil Film on Lubrication Characteristics in Cold Rolling[J]. ISIJ International, 2012,52 (5),:850-857.
[17] YUN IS, WILSON WRD, EHMANN KF. Chatter in the Strip Rolling Process, Part 1: Dynamic Model of Rolling[J]. Journal of Manufacturing Science and Engineering, 1998, 1(120): 330-336.
[18]WILSON WRD, WALOWIT JA. An Isothermal Hydrodynamic Lubrication Theory for Hydrostatic Extrusion and Drawing Processes With Conical Dies[J]. Journal of Lubrication Technology, 1971:69-74.
[19] 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, 112.
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, 112.
[20] 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, 2:1191-1207.
[21] 孙韵韵, 肖会芳, 徐金梧. 考虑轧制界面粗糙形貌的轧机辊系非线性振动[J]. 振动与冲击, 2017,36(08): 113-120. SUN Yun-yun, XIAO Hui-fang, XU Jin-wu. Nonlinear Vibration Characteristics of a Rolling Mill System Considering the Roughness of Rolling Interface[J]. Journal of Vibration and Shock, 2017, 36(08): 113-120.