Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure
This paper presents a study on the gap dependent bifurcation behavior of an electro statically-actuated nano-beam. The sizedependent behavior of the beam was taken into account by applying the couple stress theory. Two small and large gap distance regimes have been considered in which the intermolec...
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001300006&lng=en&tlng=en |
| _version_ | 1818425472354091008 |
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| author | Mohammad Fathalilou Morteza Sadeghi Ghader Rezazadeh |
| author_facet | Mohammad Fathalilou Morteza Sadeghi Ghader Rezazadeh |
| author_sort | Mohammad Fathalilou |
| collection | DOAJ |
| description | This paper presents a study on the gap dependent bifurcation behavior of an electro statically-actuated nano-beam. The sizedependent behavior of the beam was taken into account by applying the couple stress theory. Two small and large gap distance regimes have been considered in which the intermolecular vdW and Casimir forces are dominant, respectively. It has been shown that changing the gap size can affect the fundamental frequency of the beam. The bifurcation diagrams for small gap distance revealed that by changing the gap size, the number and type of the fixed points can change. However, for large gap regime, where the Casimir force is the dominant intermolecular force, changing the gap size does not affect the quality of the bifurcation behavior. |
| first_indexed | 2024-12-14T14:14:29Z |
| format | Article |
| id | doaj.art-2163fcd5078941479fdd82227c8ad78f |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-14T14:14:29Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-2163fcd5078941479fdd82227c8ad78f2022-12-21T22:58:13ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782511132426244310.1590/S1679-78252014001300006S1679-78252014001300006Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic PressureMohammad Fathalilou0Morteza Sadeghi1Ghader Rezazadeh2University of TabrizUniversity of TabrizUrmia UniversityThis paper presents a study on the gap dependent bifurcation behavior of an electro statically-actuated nano-beam. The sizedependent behavior of the beam was taken into account by applying the couple stress theory. Two small and large gap distance regimes have been considered in which the intermolecular vdW and Casimir forces are dominant, respectively. It has been shown that changing the gap size can affect the fundamental frequency of the beam. The bifurcation diagrams for small gap distance revealed that by changing the gap size, the number and type of the fixed points can change. However, for large gap regime, where the Casimir force is the dominant intermolecular force, changing the gap size does not affect the quality of the bifurcation behavior.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001300006&lng=en&tlng=enNano-beamelectrostaticstabilitybifurcationcouple Stress |
| spellingShingle | Mohammad Fathalilou Morteza Sadeghi Ghader Rezazadeh Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure Latin American Journal of Solids and Structures Nano-beam electrostatic stability bifurcation couple Stress |
| title | Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure |
| title_full | Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure |
| title_fullStr | Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure |
| title_full_unstemmed | Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure |
| title_short | Gap Dependent Bifurcation Behavior of a Nano-Beam Subjected to a Nonlinear Electrostatic Pressure |
| title_sort | gap dependent bifurcation behavior of a nano beam subjected to a nonlinear electrostatic pressure |
| topic | Nano-beam electrostatic stability bifurcation couple Stress |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001300006&lng=en&tlng=en |
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