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Statistical Dynamics of the Rolling Mills

  • Conference paper
IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 27))

Abstract

Uncertainty of technology and equipment parameters is particular for the rolling mills dynamics. Contact friction produces a wide band stochastic impacts which cause chatter vibration in the middle and higher natural frequencies range (100–1000 Hz) of the mill. Strip elasto-plastic deformation as a nonlinear spring in the stand depends on random technology parameters (rolls bending, strip tensions, mill speed). The transfer functions were used for principal mode distribution and chatter vibrations control in the cold rolling mills. The second cause of uncertainty is wear (backlashes) which makes drive train an essentially nonlinear system. The backlashes gaps and rolling loads are always uncertain at the beginning of transient process in the hot rolling mills causing dynamic torques scattering in the multibody drive trains. The low frequency (10–20 Hz) torsional vibrations are investigated. The output dynamic load distribution parameters were obtained. Statistical aspects of the mill control and diagnostics are discussed.

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Authors and Affiliations

  1. Iron and Steel Institute, Ukraine National Academy of Science, ac. Starodubov sq. 1, 49050, Dnepropetrovsk, Ukraine

    Paul V. Krot

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  1. Paul V. Krot
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Correspondence to Paul V. Krot .

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Editors and Affiliations

  1. Inst. Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave. V. O. 61, St. Petersburg, 199178, Russian Federation

    Alexander K. Belyaev

  2. Dept. Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom

    Robin S. Langley

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Krot, P.V. (2011). Statistical Dynamics of the Rolling Mills. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_31

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  • DOI: https://doi.org/10.1007/978-94-007-0289-9_31

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0288-2

  • Online ISBN: 978-94-007-0289-9

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