Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions

Application of VIM to the Nonlinear Vibrations of Multiwalled Carbon Nanotubes

The present work deals with applying the variational iteration method to the problem of the nonlinear vibrations of multiwalled carbon nanotubes embedded in an elastic medium. A multiple-beam model is utilized in which the governing equations of each layer are coupled with those of its adjacent ones via the van der Waals inter layer forces. The amplitude-frequency curves for large-amplitude vib...

Nonlinear mechanical response and rippling of thick multiwalled carbon nanotubes.

The measured drop of the effective bending stiffness of multiwalled carbon nanotubes (MWCNTs) with increasing diameter is investigated by a generalized local quasicontinuum method. The previous hypothesis that this reduction is due to a rippling mode is confirmed by the calculations. The observed ripples result from a complex three-dimensional deformation similar to the Yoshimura buckling patte...

Size-dependent nonlinear elastic scaling of multiwalled carbon nanotubes.

We characterize through large-scale simulations the nonlinear elastic response of multiwalled carbon nanotubes (MWCNTs) in torsion and bending. We identify a unified law consisting of two distinct power law regimes in the energy-deformation relation. This law encapsulates the complex mechanics of rippling and is described in terms of elastic constants, a critical length scale, and an anharmonic...

Buckling of multiwalled carbon nanotubes under axial compression

Buckling of single-walled and multiwalled carbon nanotubes SWNTs and MWNTs, respectively due to axial compressive loads has been studied by molecular mechanics simulations, and results compared with those from the analysis of equivalent continuum structures using Euler buckling theory and the finite element method. It is found that a MWNT of large aspect ratio length/diameter buckles as a colum...

Correlating electrical resistance to growth conditions for multiwalled carbon nanotubes