Nonlinear vibration characteristics of a rolling mill system considering the roughness of rolling interface

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (8) : 113-120.

SUN Yunyun, XIAO Huifang, XU Jinwu

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Abstract

The surface topography of the rolling interface can change the interface dynamics,and influences the dynamic response of a rolling mill system.Considering the roughness of the rolling interface,the nonlinear dynamic model of the rolling mill system was established.The nonlinear stiffness and natural frequency characteristics of the rolling system with different rough surface topography were calculated and compared with the traditional rolling mill model using Duffing oscillator to describe the interface stiffness.The main resonance amplitude-frequency characteristics of the rolling mill system were solved by using the method of multiple scales,and the expression of the jump frequency and the corresponding amplitude of the forced vibration response were derived.The influence of the rolling surface roughness,excitation load,nonlinear stiffness ratio and damping on the dynamic response characteristics of the rolling mill was analyzed.The results provide theoretical reference for suppressing rolling mill vibration.

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rolling mill / vertical vibration / rough interface / nonlinear

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SUN Yunyun, XIAO Huifang, XU Jinwu. Nonlinear vibration characteristics of a rolling mill system considering the roughness of rolling interface[J]. Journal of Vibration and Shock, 2017, 36(8): 113-120

References

[1]钟掘，唐华平. 高速轧机若干振动问题—复杂机电系统耦合动力学研究[J]. 振动、测试与诊断，2002, 22(1): l-8.
ZHONG Jue, TANG Hua-ping. High speed rolling mill vibration problems of complex mechanical and electrical system coupling dynamics [J]. Vibration, measurement and diagnosis, 2002, 22(1): l-8.
[2]Younes M A, Shahtout M, Damir M N. A parameters design approach to improve product quality and equipment performance in hot rolling [J]. Journal of Materials Processing Technology, 2006, 171(1): 83-92．
[3]Niziol J, Swiatoniowski A. Numerical analysis of the vertical vibration of rolling mill and their negative effect on the sheet quality [J]. Journal of Materials Processing Technology, 2005, 162(20): 546-550．
[4]Yarita I, Furukawa K, Seino Y. An Analysis of Chattering in cold rolling of UltrathinGauge Steel Strip [J]. Transctions ISIJ, 1978, 19(1): 1-10.
[5]Tamiya T, Furui K, Lida H. Analysis of chattering Phenomenon in cold Rolling [J]. Proceedings of the International Conference on Steel Rolling, Tokyo, 1980: 1191-1202.
[6]Tlusty J, Chandra G, Critchley S ,et al. Chatter in cold rolling [J]. CIRP Annals-Manufacturing Technology,1982,31(1):195–199.
[7]Johnson R E, Qi Q. Chatter dynamics in sheet rolling [J]. International Journal of Mechanical Sciences,1994,36(7): 617-630.
[8]杨旭，李江昀，童朝南. 冷轧机垂向辊系非线性振动建模与稳定性分析[J].振动、测试与诊断，2013,33(2):303-307.
YANG Xu, LI Jiang-yun, TONG Chao-nan. Modeling and stability analysis of nonlinear vibration of vertical roll system of cold rolling mill [J]. vibration, testing and diagnosis, 2013, 33(2): 303-307.
[9]陈勇辉，史铁林，杨叔子. 四辊冷带轧机非线性参激振动的研究[J]. 机械工程学报，2003,39(4):56-60.
CHEN Yong-hui, SHI Tie-lin, YANG Shu-zi. Study on parametrically excited nonlinear vibrations on 4-h cold rolling mills [J]. Chinese Journal of Mechanical Engineering,2003,39(4):56-60.
[10]Tamiya T, Furui K, Lida H,et al. Analysis of chattering phenomenon in cold rolling[C]. International Conference on Steel Rolling, Vol. II, Science and Technology of Flat Rolled Products, September 29-Octobor 4, 1980, Tokyo, Japan. 1980：1191-1202.
[11]Swiatoniowski A, Bar A. Parametrical excitement vibration in tandem mills—mathematical model and its analysis[J]. Journal of Materials Processing Technology, 2009, 134(2)：214-224.
[12]Panjković V, Glossb R, Steward J, et al. Causes of chatter in a hot strip mill: Observations, qualitative analyses and mathematical modeling[J]. Journal of Materials Processing Technology,2013,213(4):581-588.
[13]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)：132-135.
HOU Dong-xiao，LIU Bin，SHI Pei-ming，et al. Bifurcation of piecewise nonlinear roll system of rolling mill[J].Journal of Vibration and Shock，2010，29(12)：132-135.
[14]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.
[15]Yan W, Komvopoulos K. Contact analysis of elastic-plastic fractal surfaces [J]. Journal of Applied Physics,1998,84(7):3617-3624.
[16]Majumdar A, Tien C L. Fractal characterization and simulation of rough surfaces [J]. Wear, 1990, 136(90): 313-327.
[17]Berry M V, Lewis Z V. On the Weierstrass-Mandelbrot fractal function [J]. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences, 1980, 370(1743): 459-484.
[18]Majumdar A, Bhushan B. Fractal model of elastic-plastic contact between rough surfaces [J]. ASME Journal of Tribology, 1991, 113: 1-11.
[19]Blackmore D, Zhou J G. Fractal analysis of height distributions of anisotropic rough surfaces [J]. Fractals, 1998, 06(1): 43-58.
[20]Xiao H F, Shao Y M, Brennan M J. On the contact stiffness and nonlinear vibration of an elastic body with a rough surface in contact with a rigid flat surface [J]. European Journal of Mechanics A/Solids, 2015, 49:321-328.
[21]Johnson K L. Contact Mechanics [M]. Cambridge University Press, 1985.
[22]Malatkar P, Nayfeh A H. Calculation of the jump frequencies in the response of sdof non-linear systems[J]. Journal of Sound and Vibration, 2002, 254(5): 1005-1011.
[23]Brennan M J, Kovacic I, Carrella A,et al. On the jump-up and jump-down frequencies of the Duffing oscillator[J]. Journal of Sound and Vibration, 2008, 318(4-5): 1250-1261.
[24]陈金山,李长生,曹勇.轧辊粗糙度对不锈钢板带表面和工艺参数的影响[J].机械工程学报, 2013, 49(4): 25-29.
CHEN Jin-shan, LI Chang-sheng, CAO Yong. Effects of roll roughness on surface and process parameters for stainless-steel strip[J]. Chinese Journal of Mechanical Engineering, 2013,49(4):25-29.
[25]Lenard J G. The effect of roll roughness on the rolling parameters during cold rolling of an aluminium alloy[J].Journal of Materials Processing Technology, 2004,152(2)：144-153.