Vibration analysis of single-walled carbon nanotubes using wave propagation approach
In this paper, influence of boundary conditions on free vibrations of single- walled carbon nanotubes (SWCNTs) is examined. The Flügge's shell dynamical equations are utilized for governing vibrations for carbon nanotubes. The wave propagation approach (WPA) is engaged to determine vibratio...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2017-06-01
|
| Series: | Mechanical Sciences |
| Online Access: | http://www.mech-sci.net/8/155/2017/ms-8-155-2017.pdf |
| _version_ | 1818971959516463104 |
|---|---|
| author | M. Hussain M. N. Naeem |
| author_facet | M. Hussain M. N. Naeem |
| author_sort | M. Hussain |
| collection | DOAJ |
| description | In this paper, influence of boundary conditions on free vibrations
of single- walled carbon nanotubes (SWCNTs) is examined. The
Flügge's shell dynamical equations are utilized for
governing vibrations for carbon nanotubes. The wave propagation approach
(WPA) is engaged to determine vibration frequency equation in standard
eigenvalue form. The axial modal dependence is measured by the complex
exponential functions implicating the axial modal numbers. These numbers are
associated with boundary conditions specified at edges of a carbon nanotube.
Computer programming is performed to obtain solutions of vibration frequency
equation. In our new investigation, the vibration frequency spectra are
obtained and analyzed for various physical parameters e.g., length and
thickness-to-radius ratio. A number of results are presented to influence of
different boundary conditions on SWCNTs. They are shown graphically and have
been compared with those available in the literature. |
| first_indexed | 2024-12-20T15:00:40Z |
| format | Article |
| id | doaj.art-67e8f1de201c4b909657ab65a59e86ed |
| institution | Directory Open Access Journal |
| issn | 2191-9151 2191-916X |
| language | English |
| last_indexed | 2024-12-20T15:00:40Z |
| publishDate | 2017-06-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Mechanical Sciences |
| spelling | doaj.art-67e8f1de201c4b909657ab65a59e86ed2022-12-21T19:36:42ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2017-06-01815516410.5194/ms-8-155-2017Vibration analysis of single-walled carbon nanotubes using wave propagation approachM. Hussain0M. N. Naeem1Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, PakistanDepartment of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, PakistanIn this paper, influence of boundary conditions on free vibrations of single- walled carbon nanotubes (SWCNTs) is examined. The Flügge's shell dynamical equations are utilized for governing vibrations for carbon nanotubes. The wave propagation approach (WPA) is engaged to determine vibration frequency equation in standard eigenvalue form. The axial modal dependence is measured by the complex exponential functions implicating the axial modal numbers. These numbers are associated with boundary conditions specified at edges of a carbon nanotube. Computer programming is performed to obtain solutions of vibration frequency equation. In our new investigation, the vibration frequency spectra are obtained and analyzed for various physical parameters e.g., length and thickness-to-radius ratio. A number of results are presented to influence of different boundary conditions on SWCNTs. They are shown graphically and have been compared with those available in the literature.http://www.mech-sci.net/8/155/2017/ms-8-155-2017.pdf |
| spellingShingle | M. Hussain M. N. Naeem Vibration analysis of single-walled carbon nanotubes using wave propagation approach Mechanical Sciences |
| title | Vibration analysis of single-walled carbon nanotubes using wave propagation approach |
| title_full | Vibration analysis of single-walled carbon nanotubes using wave propagation approach |
| title_fullStr | Vibration analysis of single-walled carbon nanotubes using wave propagation approach |
| title_full_unstemmed | Vibration analysis of single-walled carbon nanotubes using wave propagation approach |
| title_short | Vibration analysis of single-walled carbon nanotubes using wave propagation approach |
| title_sort | vibration analysis of single walled carbon nanotubes using wave propagation approach |
| url | http://www.mech-sci.net/8/155/2017/ms-8-155-2017.pdf |
| work_keys_str_mv | AT mhussain vibrationanalysisofsinglewalledcarbonnanotubesusingwavepropagationapproach AT mnnaeem vibrationanalysisofsinglewalledcarbonnanotubesusingwavepropagationapproach |