On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam
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 vari...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/4/643 |
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| author | Mohammad Malikan Victor A. Eremeyev |
| author_facet | Mohammad Malikan Victor A. Eremeyev |
| author_sort | Mohammad Malikan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T20:24:08Z |
| format | Article |
| id | doaj.art-52644b990cf14b2aa34dafc4e030102e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:24:08Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-52644b990cf14b2aa34dafc4e030102e2023-11-19T21:57:50ZengMDPI AGSymmetry2073-89942020-04-0112464310.3390/sym12040643On the Dynamics of a Visco–Piezo–Flexoelectric NanobeamMohammad Malikan0Victor A. Eremeyev1Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, 80-233 Gdansk, PolandDepartment of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, 80-233 Gdansk, PolandThe 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.https://www.mdpi.com/2073-8994/12/4/643flexoelectricity effectinternal viscoelasticityclosed circuit |
| spellingShingle | Mohammad Malikan Victor A. Eremeyev On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam Symmetry flexoelectricity effect internal viscoelasticity closed circuit |
| title | On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam |
| title_full | On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam |
| title_fullStr | On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam |
| title_full_unstemmed | On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam |
| title_short | On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam |
| title_sort | on the dynamics of a visco piezo flexoelectric nanobeam |
| topic | flexoelectricity effect internal viscoelasticity closed circuit |
| url | https://www.mdpi.com/2073-8994/12/4/643 |
| work_keys_str_mv | AT mohammadmalikan onthedynamicsofaviscopiezoflexoelectricnanobeam AT victoraeremeyev onthedynamicsofaviscopiezoflexoelectricnanobeam |