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Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory
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| Zeitschriftentitel: | Shock and Vibration |
|---|---|
| Personen und Körperschaften: | , |
| In: | Shock and Vibration, 2017, 2017, S. 1-7 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
| author_facet |
Li, Xingjia Luo, Ying Li, Xingjia Luo, Ying |
|---|---|
| author |
Li, Xingjia Luo, Ying |
| spellingShingle |
Li, Xingjia Luo, Ying Shock and Vibration Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering |
| author_sort |
li, xingjia |
| spelling |
Li, Xingjia Luo, Ying 1070-9622 1875-9203 Hindawi Limited Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering http://dx.doi.org/10.1155/2017/4157085 <jats:p>A novel electric Gibbs function was proposed for the piezoelectric microbeams (PMBs) by employing a modified couple stress theory. Based on the new Gibbs function and the Euler-Bernoulli beam theory, the governing equations which incorporate the effects of couple stress, flexoelectricity, and piezoelectricity were derived for the mechanics of PMBs. The analysis of the effective bending rigidity shows the effects of size and flexoelectricity can greaten the stiffness of PMBs so that the natural frequency increases significantly compared with the Euler-Bernoulli beam, and then the mechanical and electrical properties of PMBs are enhanced compared to the classical beam. This study can guide the design of microscale piezoelectric/flexoelectric structures which may find potential applications in the microelectromechanical systems (MEMS).</jats:p> Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory Shock and Vibration |
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| title |
Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_unstemmed |
Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_full |
Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_fullStr |
Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_full_unstemmed |
Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_short |
Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_sort |
flexoelectric effect on vibration of piezoelectric microbeams based on a modified couple stress theory |
| topic |
Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering |
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http://dx.doi.org/10.1155/2017/4157085 |
| publishDate |
2017 |
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1-7 |
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<jats:p>A novel electric Gibbs function was proposed for the piezoelectric microbeams (PMBs) by employing a modified couple stress theory. Based on the new Gibbs function and the Euler-Bernoulli beam theory, the governing equations which incorporate the effects of couple stress, flexoelectricity, and piezoelectricity were derived for the mechanics of PMBs. The analysis of the effective bending rigidity shows the effects of size and flexoelectricity can greaten the stiffness of PMBs so that the natural frequency increases significantly compared with the Euler-Bernoulli beam, and then the mechanical and electrical properties of PMBs are enhanced compared to the classical beam. This study can guide the design of microscale piezoelectric/flexoelectric structures which may find potential applications in the microelectromechanical systems (MEMS).</jats:p> |
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| author | Li, Xingjia, Luo, Ying |
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| author_sort | li, xingjia |
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| container_title | Shock and Vibration |
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| description | <jats:p>A novel electric Gibbs function was proposed for the piezoelectric microbeams (PMBs) by employing a modified couple stress theory. Based on the new Gibbs function and the Euler-Bernoulli beam theory, the governing equations which incorporate the effects of couple stress, flexoelectricity, and piezoelectricity were derived for the mechanics of PMBs. The analysis of the effective bending rigidity shows the effects of size and flexoelectricity can greaten the stiffness of PMBs so that the natural frequency increases significantly compared with the Euler-Bernoulli beam, and then the mechanical and electrical properties of PMBs are enhanced compared to the classical beam. This study can guide the design of microscale piezoelectric/flexoelectric structures which may find potential applications in the microelectromechanical systems (MEMS).</jats:p> |
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| spelling | Li, Xingjia Luo, Ying 1070-9622 1875-9203 Hindawi Limited Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering http://dx.doi.org/10.1155/2017/4157085 <jats:p>A novel electric Gibbs function was proposed for the piezoelectric microbeams (PMBs) by employing a modified couple stress theory. Based on the new Gibbs function and the Euler-Bernoulli beam theory, the governing equations which incorporate the effects of couple stress, flexoelectricity, and piezoelectricity were derived for the mechanics of PMBs. The analysis of the effective bending rigidity shows the effects of size and flexoelectricity can greaten the stiffness of PMBs so that the natural frequency increases significantly compared with the Euler-Bernoulli beam, and then the mechanical and electrical properties of PMBs are enhanced compared to the classical beam. This study can guide the design of microscale piezoelectric/flexoelectric structures which may find potential applications in the microelectromechanical systems (MEMS).</jats:p> Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory Shock and Vibration |
| spellingShingle | Li, Xingjia, Luo, Ying, Shock and Vibration, Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory, Mechanical Engineering, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, Condensed Matter Physics, Civil and Structural Engineering |
| title | Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_full | Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_fullStr | Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_full_unstemmed | Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_short | Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| title_sort | flexoelectric effect on vibration of piezoelectric microbeams based on a modified couple stress theory |
| title_unstemmed | Flexoelectric Effect on Vibration of Piezoelectric Microbeams Based on a Modified Couple Stress Theory |
| topic | Mechanical Engineering, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, Condensed Matter Physics, Civil and Structural Engineering |
| url | http://dx.doi.org/10.1155/2017/4157085 |