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

1Karnaukhov, VG, 2Kozlov, VI, 2Karnaukhova, TV
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
2National Technical University of Ukraine "Kyiv Polytechnic Institute"
Dopov. Nac. akad. nauk Ukr. 2017, 11:37-43
https://doi.org/10.15407/dopovidi2017.11.037
Section: Mechanics
Language: Ukrainian
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.

Keywords: geometrical nonlinearity, piezo sen sors, resonant vibrations, shear strains, temperature of dissipative heating
References: 
  1. Shul'ga, M. O. & Karlash, V. L. (2008). Rezonant electromechanical vibrations of piezoelectric plates. Kiev: Naukova Dumka (in Ukrainian).
  2. Ambartsumian, S. A. (1974). General theory of anisotropic shells. Moscow: Nauka (in Russian).
  3. Karnaukhov, V. G. & Kyrychok, I. F. (1988). Electrothermoviscoelasticity. Kiev: Naukova Dumka (in Russian).
  4. Karnaukhov, V. G., Kozlov, V. I. & Karnaukhova, T. V. (2015). Strength of materials and theory of structures. No. 95, pp. 75-95 (in Russian).
  5. Reddy, J. N. (2007). Theory and analysis of elastic plates and shells. Boca Raton etc.: CRC Press.
  6. Rabotnov, Yu. N. (1977). Elements of hereditary solid mechanics. Moscow: Nauka (in Russian).
  7. Koroliov, V. I. (1965). Laminated anisotropic plates and shells with reinforced plastics. Sloystye anyzotropnye plastynky y obolochky yz armyrovannykh plastmass. Moscow: Machine-building.
  8. 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).
  9. Grinchenko, V. T., Ulitko, A. F. & Shul'ga, N. A. (1989). Electroelasticity. Kiev: Naukova Dumka (in Russian).