Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions
The present work deals with applying the homotopy perturbation method to the problem of the nonlinear oscillations of multiwalled carbon nanotubes embedded in an elastic medium under various boundary conditions. A multiple-beam model is utilized in which the governing equations of each layer are cou...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/343576 |
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| _version_ | 1832567882878287872 |
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| author | Hossein Aminikhah Milad Hemmatnezhad |
| author_facet | Hossein Aminikhah Milad Hemmatnezhad |
| author_sort | Hossein Aminikhah |
| collection | DOAJ |
| description | The present work deals with applying the homotopy perturbation method to the problem of the nonlinear oscillations of multiwalled carbon nanotubes embedded in an elastic medium under various boundary conditions. A multiple-beam model is utilized in which the governing equations of each layer are coupled with those of its adjacent ones via the van der Waals interlayer forces. The amplitude-frequency curves for large-amplitude vibrations of single-walled, double-walled, and triple-walled carbon nanotubes are obtained. The influences of some commonly used boundary conditions, changes in material constant of the surrounding elastic medium, and variations of the nanotubes geometrical parameters on the vibration characteristics of multiwalled carbon nanotubes are discussed. The comparison of the generated results with those from the open literature illustrates that the solutions obtained are of very high accuracy and clarifies the capability and the simplicity of the present method. It is worthwhile to say that the results generated are new and can be served as a benchmark for future works. |
| format | Article |
| id | doaj-art-968ea9d894404acb8c5f4be40f2348d1 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-968ea9d894404acb8c5f4be40f2348d12025-02-03T01:00:21ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/343576343576Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary ConditionsHossein Aminikhah0Milad Hemmatnezhad1Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht 41938, IranFaculty of Mechanical Engineering, Takestan Branch, Islamic Azad University, P.O. Box 3351, Takestan 58937, IranThe present work deals with applying the homotopy perturbation method to the problem of the nonlinear oscillations of multiwalled carbon nanotubes embedded in an elastic medium under various boundary conditions. A multiple-beam model is utilized in which the governing equations of each layer are coupled with those of its adjacent ones via the van der Waals interlayer forces. The amplitude-frequency curves for large-amplitude vibrations of single-walled, double-walled, and triple-walled carbon nanotubes are obtained. The influences of some commonly used boundary conditions, changes in material constant of the surrounding elastic medium, and variations of the nanotubes geometrical parameters on the vibration characteristics of multiwalled carbon nanotubes are discussed. The comparison of the generated results with those from the open literature illustrates that the solutions obtained are of very high accuracy and clarifies the capability and the simplicity of the present method. It is worthwhile to say that the results generated are new and can be served as a benchmark for future works.http://dx.doi.org/10.1155/2011/343576 |
| spellingShingle | Hossein Aminikhah Milad Hemmatnezhad Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions International Journal of Differential Equations |
| title | Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions |
| title_full | Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions |
| title_fullStr | Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions |
| title_full_unstemmed | Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions |
| title_short | Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions |
| title_sort | nonlinear vibrations of multiwalled carbon nanotubes under various boundary conditions |
| url | http://dx.doi.org/10.1155/2011/343576 |
| work_keys_str_mv | AT hosseinaminikhah nonlinearvibrationsofmultiwalledcarbonnanotubesundervariousboundaryconditions AT miladhemmatnezhad nonlinearvibrationsofmultiwalledcarbonnanotubesundervariousboundaryconditions |