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Resonant vibrations of a hinged viscoelastic rectangular plate

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The paper examines the effect of dissipative heating on the performance of a sensor in a hinged thermoviscoelastic rectangular plate undergoing resonant flexural vibrations. The thermoviscoelastic behavior of materials is described using the concept of complex characteristics. The coupling of the electromechanical and thermal fields is taken into account. The nonlinear problem is solved by the variational and Bubnov–Galerkin methods. The effect of the dissipative-heating temperature and the dimensions of the sensor on its performance during resonant vibrations of the plate is analyzed.

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Authors and Affiliations

  1. National Technical University of Ukraine “KPI,”, 37 Pobedy Av., Kyiv, Ukraine, 03056

    T. V. Karnaukhova

  2. Taras Shevchenko National University, 2 Glushkova St., B. 7, Kyiv, Ukraine, 03127

    E. V. Pyatetskaya

Authors
  1. T. V. Karnaukhova
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  2. E. V. Pyatetskaya
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Correspondence to T. V. Karnaukhova.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 45, No. 7, pp. 88–99, July 2009.

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Karnaukhova, T.V., Pyatetskaya, E.V. Resonant vibrations of a hinged viscoelastic rectangular plate. Int Appl Mech 45, 762–771 (2009). https://doi.org/10.1007/s10778-009-0218-3

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  • DOI: https://doi.org/10.1007/s10778-009-0218-3

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