| Nonlinear vibration and rippling instability for embedded carbon nanotubes
Payam Soltani*, D. D. Ganji, I. Mehdipour and A. Farshidianfar
The Journal of Mechanical Science and Technology, vol. 26, no. 4, pp.985-992, 2012
Abstract : Based on the rippling deformations, a nonlinear continuum elastic model is developed to analyze the transverse vibration of singlewalled
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.
Keyword : Carbon nanotube; Bending deformation; Ripple deformation; Nonlinear vibration; Winkler foundation |
