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Article

On the Origin of Torsional Vibrations in Hot Rolling Mills and a Possible Remedy

[+] Author and Article Information
P. Belli

ABB, Via L. Lama 33, 20099 Sesto S. Giovanni (Mi), Italy

S. Bittanti, A. De Marco

Politecnico di Milano, Dip. di Elettronica e Informazione, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

J. Dyn. Sys., Meas., Control 126(4), 811-823 (Mar 11, 2005) (13 pages) doi:10.1115/1.1850531 History: Received May 06, 2003; Revised December 09, 2003; Online March 11, 2005
Copyright © 2004 by ASME
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References

Figures

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Kinematic chain typical layout
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Kinematic chain model structure
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Interaction between kinematic chain and material in the roll bite
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Slip-sticking friction in the roll bite
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Rolling torque behavior due to a step variation of WR speed at time 0.1 s
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Block diagram of the complete process
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The basic feedback loop
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Open loop Bode diagrams of the basic feedback loop, presented in Fig. 9. Note that at ∼100 rad/s the gain is grater than 0 dB and the phase delay is greater than 180 deg.
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Open loop and closed loop eigenvalues
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Torsional torques at the spindles for a final strip thickness of 1.8 mm. Upper diagram: Top spindle, lower diagram: Bottom spindle.
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Simulation results of torque through the spindles torque through. Upper diagram: Top spindle, lower diagram: Bottom spindle
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Real part of the elements of the eigenvector of matrix A associated with the natural frequency 16.7 Hz
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Real part of the elements of the eigenvector of matrix A associated with the natural frequency 17.6 Hz
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Loop S nyquist diagram, with and without control system
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Loop D nyquist diagram, with and without control system
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Threading and rolling without_ active control: top diagram, motor speed; central diagram, top and bottom work roll speeds; bottom diagram, top and bottom torques at the spindles
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Threading and rolling with_ active control: top diagram, motor speed; central diagram, top and bottom work roll speeds; bottom diagram, top and bottom torques at the spindles

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