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Optimal Damping of Perturbations of Moving Thermoelastic Panel

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Abstract

The translational motion of a thermoelastic web subject to transverse vibrations caused by initial perturbations is considered. It is assumed that a web moving with a constant translational velocity is described by the model of a thermoelastic panel simply supported at its ends. The problem of optimal damping of vibrations when applying active transverse actions is formulated. For solving the optimization problem, modern methods developed in control theory for systems with distributed parameters described by partial differential equations are used.

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Authors and Affiliations

  1. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 117526, Russia

    N. V. Banichuk & S. Yu. Ivanova

Authors
  1. N. V. Banichuk
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  2. S. Yu. Ivanova
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Corresponding author

Correspondence to S. Yu. Ivanova.

Additional information

Original Russian Text © N.V. Banichuk, S.Yu. Ivanova, 2018, published in Doklady Akademii Nauk, 2018, Vol. 478, No. 1, pp. 29–33.

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Banichuk, N.V., Ivanova, S.Y. Optimal Damping of Perturbations of Moving Thermoelastic Panel. Dokl. Phys. 63, 13–17 (2018). https://doi.org/10.1134/S1028335818010019

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  • DOI: https://doi.org/10.1134/S1028335818010019

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