Nonlinear vibration and rippling instability for embedded carbon nanotubes

Payam Soltani, DD Ganji, I Mehdipour, A Farshidianfar

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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 languageUndefined
Pages (from-to)985-992
Number of pages8
JournalJournal of Mechanical Science and Technology
Issue number4
Early online date11 Apr 2012
Publication statusPublished - 2012


  • Carbon nanotube
  • Bending deformation
  • Ripple deformation
  • Nonlinear vibration
  • Winkler foundation

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