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| Content Provider | Springer Nature Link |
|---|---|
| Author | Ouakad, Hassen M. Younis, Mohammad I. |
| Copyright Year | 2011 |
| Abstract | This paper presents an investigation of the dynamics of electrically actuated single-walled carbon nanotube (CNT) resonators including the effect of their initial curvature due to fabrication (slack). A nonlinear shallow arch model is utilized. A perturbation method, the method of multiple scales, is used to obtain analytically the forced vibration response due to DC and small AC loads for various slacked CNTs of higher and lower aspect ratio. Results of the perturbation method are verified with those obtained by numerically integrating the equations of a multi-mode reduced-order model based on the Galerkin procedure. The effective nonlinearity of the CNT is calculated as a function of the slack level and the DC load. To handle computational problems associated with CNTs of small radiuses, results based on a nonlinear cable model are also demonstrated. The results have indicated that the quadratic nonlinearity due to slack has dominant effect on the dynamic behavior of the CNT. |
| Starting Page | 1419 |
| Ending Page | 1436 |
| Page Count | 18 |
| File Format | |
| ISSN | 0924090X |
| Journal | Nonlinear Dynamics |
| Volume Number | 67 |
| Issue Number | 2 |
| e-ISSN | 1573269X |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2011-06-04 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Carbon nanotube Resonator NEMS Arch Effective nonlinearity Softening Hardening Mechanical Engineering Mechanics Automotive Engineering Vibration, Dynamical Systems, Control |
| Content Type | Text |
| Resource Type | Article |
| Subject | Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering |
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