Dynamic characteristics of cold rolling mill and strip based on flatness and thickness control in rolling process

Abstract

The dynamic model of cold rolling mill based on strip flatness and thickness integrated control was proposed, containing the following sub-models: the rolling process model, the dynamic model of rolls along axial direction, and the compensation model. Based on the rule of volume flow rate, the dynamic rolling process model was built. The work roll and backup roll were taken as elastic continuous bodies, the effect of shear and moment of inertia were taken into consideration, and then the dynamic model of rolls was built. The two models were coupled together, and the dynamic model of rolling mill was built. In the dynamic model, the thermal expansion of the rolls, the wear of the rolls and other related parameters can not be considered. In order to compensate the dynamic model, the coupled static model of rolls and strip was applied. Then, according to the inner relationship of these models, the dynamic model and the compensation model were coupled, and the dynamic model of rolling mill based on the strip flatness and thickness integrated control was built. The dynamic simulation of the rolling process was made, and the dynamic thickness and the dynamic flatness information were obtained. This model not only provides a theory basis for the virtual rolling, but also provides a platform for the application of advanced control theory.

Keywords

cold rolling / dynamic simulation / strip flatness / strip thickness / transverse vibration

References

[1] KamadaM, LiF-t, ChenKuiKANG Yong-lin, Tr. Strip tandem rolling [M], 2002, Beijing, China Metallurgy Industry Press: 22-50

[2] ZhangJ-z, ZhaoH-x, WangZ, WangB-luo. Experimental demonstrations and analysis for continuous rolling tension formula [J]. Engineering Sciences, 2008, 10(4): 73-77

[3] CaoJ-g, ZhangY, YangG-h, MengX-m, CaoL-c, ZhouX-h, WangZ-kai. Intermediate roll contour of 6-hi UCM cold rolling mill [J]. Journal of Central South University: Science and Technology, 2011, 42(4): 966-971

[4] DuanJ-a, ZhongJue. Negative damping of rolling interface for rolling chatter [J]. Journal of Central South University of Technology: Natural Science, 2002, 332: 401-404

[5] WangJ S, JiangZ Y, TieuA K, LiuX U, WangG D. A flying gauge change model in tandem cold strip mill [J]. Journal of Materials Processing Technology, 2008, 204(1/2/3): 152-161

[6] WangD D, TieuA K, LuC, D’ALESSIOG, YuenW Y D. Modeling and optimization of threading process for shape control in tandem cold rolling [J]. Journal of Materials Processing Technology, 2003, 140(1/2/3): 562-568

[7] SansalK, YildizJ, ForbesF, HuangB, ZhangY, WangF, VaculikV, DudzicM. Dynamic modeling and simulation of a hot strip finishing mill [J]. Applied Mathematical Modelling, 2009, 33(7): 3208-3225

[8] BrusaE, LemmaL. Numerical and experimental analysis of the dynamic effects in compact cluster mills for cold rolling [J]. Journal of Materials Processing Technology, 2009, 209(5): 2436-2445

[9] LuX-w, PengY, LiuH-min. Gauge and shape control strategy for DC mill [J]. Journal of Central South University: Science and Technology, 2011, 428: 2309-2317

[10] LiJ-hongStudy on strip shape computational theory of strip mill and its application in wide strip rolling [D], 2003, Qinhuangdao, Yanshan University

[11] OniszczukZ. Forced transverse vibration of an elastically connected complex simply supported double-beam system [J]. Journal of Sound and Vibration, 2003, 264(2): 273-286

[12] ZhangY Q, LiuaX, ZhaoJ H. Influence of temperature change on column buckling of multiwalled carbon nanotubes [J]. Physics Letters A, 2008, 372: 1676-1681

[13] ZhangY Q, LuY, MaG W. Effect of compressive axial load on forced transverse vibrations of a double-beam system [J]. International Journal of Mechanical Sciences, 2008, 50(2): 299-305

[14] XuK-y, AifantisE C, YanY-hua. Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes [J]. Journal of Applied Mechanics, Transactions ASME, 2008, 75(2): 131-139

[15] AydogduM. Effects of shear deformation on vibration of doublewalled carbon nanotubes embedded in an elastic medium [J]. Archive of Applied Mechanics, 2008, 78(9): 711-723

[16] LiuH-m, HeH-t, ShanX-y, JiangG-biao. Flatness control based on dynamic effective matrix for cold strip mills [J]. Chinese Journal of Mechanical Engineering, 2009, 22(2): 287-296