| Autor: |
Hrytsyna, Maryan, Sladek, Jan, Sladek, Vladimir, Hrytsyna, Olha |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2950 Issue 1, p1-14, 14p |
| Abstrakt: |
In this study, based on the modified strain gradient theory with electric quadrupoles and the kinematic assumptions of Bernoulli-Euler beam model, the governing equations of motion considering the static and dynamic flexoelectric effects are derived. The deviatoric stretch gradient, dilatation gradient and the antisymmetric part of the deviatoric rotation gradients play the role of higher-order strain metrics in the used model. For linear isotropic dielectric material, only two last of these strain gradient metrics can induce a direct flexoelectric effect. The employed model involves three micro-stiffness length parameters, three length scale parameters related to the polarization gradient, two flexoelectric coefficients, and one coefficient controlling the dynamics of polarization. The influence of the beam geometry and the material parameters on the natural frequency of free vibration of a simply supported nanobeam is analyzed. From the numerical studies it is concluded that the influence of the mentioned parameters becomes more pronounced when the beam size is scaled down to nanometers. It is found that the relative values of material parameters are relevant for the free vibration response of electro-elastic beams. Dynamic flexoelectric effect is more prominent for higher vibration modes. The micro-stiffness length parameters increase the free vibration frequency. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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