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Resonance Vibration and Dissipative Heating of a Flexible Viscoelastic Beam with Piezoactuators in the Presence of Shear Strains

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We consider a problem of forced resonance vibration and dissipative heating of a hinged flexible viscoelastic beam with piezoactuators in the presence of transverse shear strains. The effects of geometric nonlinearities, in-plane shear strains, and the conditions of heat exchange on the surfaces on the amplitude and temperature-frequency characteristics of the forced vibration of the beam and the thermal failure of the system are investigated. The possibility of active damping of the mode of flexural vibrations by piezoactuators is analyzed.

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Authors and Affiliations

  1. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kiev, Ukraine

    I. F. Kyrychok

  2. T. Shevchenko Kiev National University, Kiev, Ukraine

    Ya. O. Zhuk

  3. Sikorsky “Kyiv Polytechnic Institute” Ukrainian National Technical University, Kiev, Ukraine

    T. V. Karnaukhova

Authors
  1. I. F. Kyrychok
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  2. Ya. O. Zhuk
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  3. T. V. Karnaukhova
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 2, pp. 66–74, April–June, 2017.

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Kyrychok, I.F., Zhuk, Y.O. & Karnaukhova, T.V. Resonance Vibration and Dissipative Heating of a Flexible Viscoelastic Beam with Piezoactuators in the Presence of Shear Strains. J Math Sci 243, 73–84 (2019). https://doi.org/10.1007/s10958-019-04527-z

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  • DOI: https://doi.org/10.1007/s10958-019-04527-z

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