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On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

Abstract

The fundamental motivation of this research is to investigate the effect of flexoelectricity on a piezoelectric nanobeam for the first time involving internal viscoelasticity. To date, the effect of flexoelectricity on the mechanical behavior of nanobeams has been investigated extensively under various physical and environmental conditions. However, this effect as an internal property of materials has not been studied when the nanobeams include an internal damping feature. To this end, a closed-circuit condition is considered taking converse piezo–flexoelectric behavior. The kinematic displacement of the classical beam using Lagrangian strains, also applying Hamilton’s principle, creates the needed frequency equation. The natural frequencies are measured in nanoscale by the available nonlocal strain gradient elasticity model. The linear Kelvin–Voigt viscoelastic model here defines the inner viscoelastic coupling. An analytical solution technique determines the values of the numerical frequencies. The best findings show that the viscoelastic coupling can directly affect the flexoelectricity property of the material.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Symmetry-Basel no. 12, pages 1 - 21,
ISSN: 2073-8994
Language:
English
Publication year:
2020
Bibliographic description:
Malikan M., Eremeev V.: On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam// Symmetry-Basel -Vol. 12,iss. 4 (2020), s.1-21
DOI:
Digital Object Identifier (open in new tab) 10.3390/sym12040643
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  75. © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). open in new tab
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