Numerical and experimental analysis of the dynamic effects in compact cluster mills for cold rolling

Abstract Prevention of dynamic instability caused by chatter phenomenon may be difficult in case of the so-called “cluster mill” because of the number of back-up rolls used to avoid bending of the work roll. A numerical simulation of the dynamics of the cluster mill may help to prevent the strip defects and to predict the life of bearings and rolls. Analytical models proposed in the literature for the two- and four-high mills are unfortunately inapplicable. This paper investigates whether the multi-body dynamics approach can be effective in analysing the so-called “Z-Mill”. Service monitoring detected in a real case some clear and dark bands on the strip surface, which disappeared after a calibration of rolls position. A numerical model was built by assuming that the mill stand and the strip could be analysed separately. Validation allowed concluding that modelling is effective, if relevant parameters are tuned on the experimental evidences. In particular damping and friction coefficients look the most critical to predict the actual value of rolling force. Mechanical nonlinearities introduced by the contact among rolls and by bearings increase the computational effort, but their role is somewhere overestimated in the literature. In practice, the multi-body dynamics approach still shows some limits, but they should be overcome, if a deeper experimental validation will be performed on a dedicated test rig, suitably designed to be largely instrumented.

[1]  Hugh Ford,et al.  The Calculation of Roll Force and Torque in Cold Strip Rolling with Tensions , 1948 .

[2]  Giancarlo Genta,et al.  Dynamics of Rotating Systems , 2005 .

[3]  I. J. Freshwater Simplified theories of flat rollingI. The calculation of roll pressure, roll force and roll torque , 1996 .

[4]  Z Drzymala Non linéaires d'auto-excitation dans un train tandem laminage à froid , 2003 .

[5]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[6]  Y. X. Wu,et al.  Frequency modulation of high-speed mill chatter , 2002 .

[7]  Vladimir B. Ginzburg,et al.  Flat Rolling Fundamentals , 2000 .

[8]  Eugenio Brusa,et al.  Vibration condition monitoring of rotors on AMB fed by induction motors , 2001, 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556).

[9]  Kornel Ehmann,et al.  Review of chatter studies in cold rolling , 1998 .

[10]  M. Friswell,et al.  Using linear model reduction to investigate the dynamics of structures with local non-linearities , 1995 .

[11]  Jack Jeswiet,et al.  A comparison of friction coefficients in cold rolling , 1998 .

[12]  E. C. Larke,et al.  The rolling of strip, sheet and plate , 1957 .

[13]  H. Mufti Dynamics of multi-body systems , 1979 .

[14]  Andrzej Świątoniowski,et al.  Interdependence between the rolling speed and non-linear vibrations of the mill system , 2004 .

[15]  Peter Wriggers,et al.  Computational Contact Mechanics , 2002 .

[16]  Reza Langari,et al.  On the Characteristics and Mechanism of Rolling Instability and Chatter , 2003 .

[17]  A. Świątoniowski,et al.  Numerical analysis of the vertical vibrations of rolling mills and their negative effect on the sheet quality , 2005 .

[18]  John Ringwood,et al.  Robust shape control in a sendzimir cold-rolling steel mill , 1996 .

[19]  Pierre Montmitonnet,et al.  Hot and cold strip rolling processes , 2006 .

[20]  Seamus D. Garvey,et al.  THE APPLICATION OF THE IRS AND BALANCED REALIZATION METHODS TO OBTAIN REDUCED MODELS OF STRUCTURES WITH LOCAL NON-LINEARITIES , 1996 .

[21]  Liangchi Zhang,et al.  On the mechanism of cold rolling thin foil , 1995 .

[22]  Roberts,et al.  Cold Rolling of Steel , 1978 .

[23]  Z Drzymala Non-linear vibrations in cold rolling mills , 2003 .