Forced resonant vibrations and dissipative heating of rigidly fixed viscoelastic plates with actuators with regard for a geometrical nonlinearity and transverse shear strains
DOI:
https://doi.org/10.15407/dopovidi2017.12.014Keywords:
active damping, geometrical nonlinearity, heating, piezoactuators, resonant vibrations, shear strains, temperatureAbstract
A model of forced resonant vibrations and the dissipative heating of rigidly fixed viscoelastic plates with piezoactuators with regard for a geometrical nonlinearity and transverse shear strains is considered. By the Bubnov—Galerkin method, the approximate analytic solution of this problem is given. The influence of these factors on the effectiveness of the active damping of vibrations by piezoactuators is analyzed.
Downloads
References
Karnaykhov, V. G., Kozlov, V. I. & Karnaykhova, T. V. (2017). Dopov. Nac. acad. nauk Ukr., No. 11, pp. 37-43 (in Ukrainian).
Rabotnov, Yu. N. (1977). Elements of hereditary solid mechanics. Moscow: Nauka (in Russian).
Mitropolskiy, U. A. (1997). Nonlinear mechanics. Singlyfrequance vibrations. Kiev: Institute of Mathematics of the NAS of Ukraine (in Russian).
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).
Karnaukhov, V. G., Kozlov, V. I. & Karnaukhova, T. V. (2015). Strength of materials and theory of structures. No. 95, pp. 75-95 (in Russian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
