Abstract
Based on the rippling deformations, a nonlinear continuum elastic model is developed to analyze the transverse vibration of single-walled carbon nanotubes (SWCNTs) embedded on a Winkler elastic foundation. The nonlinear natural frequency has been derived analytically for typical boundary conditions using the perturbation method of multi-scales. The results indicate that the nonlinear resonant frequency due to the rippling is related to the stiffness of the foundation, the boundary conditions, the excitation load-to-damping ratio, and the diameter-to-length ratio. Moreover, the rippling instability of carbon nanotubes, as a structural instability, is introduced and the influences of several effective parameters on this kind of instability are widely discussed.
Original language | Undefined |
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Pages (from-to) | 985-992 |
Number of pages | 8 |
Journal | Journal of Mechanical Science and Technology |
Volume | 26 |
Issue number | 4 |
Early online date | 11 Apr 2012 |
DOIs | |
Publication status | Published - 2012 |
Keywords
- Carbon nanotube
- Bending deformation
- Ripple deformation
- Nonlinear vibration
- Winkler foundation