Forced resonant vibrations and the vibroheating of a hinged viscoelastic plate with piezosensors with regard for a geometrical nonlinearity and transverse shear strains

Authors

  • V.G. Karnaukhov S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • V.І. Кozlov S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • T.V. Karnaukhova NTU “Igor Sikorski Kyiv Polytechnic Institute”

DOI:

https://doi.org/10.15407/dopovidi2017.11.037

Keywords:

geometrical nonlinearity, piezo sen sors, resonant vibrations, shear strains, temperature of dissipative heating

Abstract

A model of forced resonant vibrations and the vibroheating of viscoelastic plates with piezosensors with regard for a geometrical nonlinearity and transverse shear strains is considered. By the Bubnov—Galerkin method, the approximate analytic solution of the formulated problem for a hinged rectangular plate is given. The influence of these factors on the effectiveness of the work of sensors is investigated.

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References

Shul'ga, M. O. & Karlash, V. L. (2008). Rezonant electromechanical vibrations of piezoelectric plates. Kiev: Naukova Dumka (in Ukrainian).

Ambartsumian, S. A. (1974). General theory of anisotropic shells. Moscow: Nauka (in Russian).

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Karnaukhov, V. G., Kozlov, V. I. & Karnaukhova, T. V. (2015). Strength of materials and theory of structures. No. 95, pp. 75-95 (in Russian).

Reddy, J. N. (2007). Theory and analysis of elastic plates and shells. Boca Raton etc.: CRC Press.

Rabotnov, Yu. N. (1977). Elements of hereditary solid mechanics. Moscow: Nauka (in Russian).

Koroliov, V. I. (1965). Laminated anisotropic plates and shells with reinforced plastics. Sloystye anyzotropnye plastynky y obolochky yz armyrovannykh plastmass. Moscow: Machine-building.

Bulat, A. F., Dyrda, V. I., Karnaukhov, V. G., Zviagil'sky, E. L. & Kobets, A. S. (2014). Forced vibrations and dissipative heating of nonelastic bodies. Kiev: Naukova Dumka (in Russian).

Grinchenko, V. T., Ulitko, A. F. & Shul'ga, N. A. (1989). Electroelasticity. Kiev: Naukova Dumka (in Russian).

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Published

22.09.2024

How to Cite

Karnaukhov, V., Кozlov V., & Karnaukhova, T. (2024). Forced resonant vibrations and the vibroheating of a hinged viscoelastic plate with piezosensors with regard for a geometrical nonlinearity and transverse shear strains . Reports of the National Academy of Sciences of Ukraine, (11), 37–43. https://doi.org/10.15407/dopovidi2017.11.037

Issue

No. 11 (2017): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

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