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| Content Provider | Springer Nature Link |
|---|---|
| Author | Fatahi Vajari, Alireza Imam, Ali |
| Copyright Year | 2016 |
| Abstract | This paper investigates the torsional vibration of single-walled carbon nanotubes (SWCNTs) using a new approach based on doublet mechanics (DM) incorporating explicitly scale parameter and chiral effects. A fourth-order partial differential equation that governs the torsional vibration of nanotubes is derived. Using DM, an explicit equation for the natural frequency in terms of geometrical and mechanical property of CNTs is obtained for both the Zigzag and Armchair nanotube for the torsional vibration mode. It is shown that chiral effects along with the scale parameter play a significant role in the vibration behavior of SWCNTs in torsional vibration mode. Such effects decrease the natural frequency obtained by DM compared to the classical continuum mechanics and nonlocal theory predictions. However, with increase in the length and/or the radius of the tube, the effect of the chiral and scale parameter on the natural frequency decreases. |
| Ending Page | 22 |
| Page Count | 22 |
| Starting Page | 1 |
| File Format | |
| ISSN | 00442275 |
| e-ISSN | 14209039 |
| Journal | Zeitschrift für angewandte Mathematik und Physik |
| Issue Number | 4 |
| Volume Number | 67 |
| Language | English |
| Publisher | Springer International Publishing |
| Publisher Date | 2016-06-24 |
| Publisher Place | Cham |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Natural frequency Mathematical Methods in Physics General methods of simulation Dynamical systems methods Free motions Nanotubes Length scale parameter Torsional vibration Doublet mechanics Theoretical and Applied Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Physics and Astronomy |
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