Natural vibrations in a system of nanotubes

Victor A. Eremeyev (1) , Elena A. Ivanova (2) , Nikita F. Morozov (3) , S. E. Strochkov (1)

1 Southern Scientific Center
2 Department of Theoretical Mechanics
3 Elasticity Department

Natural vibrations in a system of parallel micro-and nanotubes attached horizontally to an elastic substrate are analyzed. It is shown that several first eigenfrequencies corresponding to flexural vibrations of a single nanotube can be identified with the use of the linear shell theory within the frequency spectrum of an "integrated system" consisting of a substrate and nanotubes. This allows the flexural rigidity of a single nanotube to be evaluated. The resultant conclusion is supported by finite-element modeling based on the three-dimensional theory of electroelasticity. Results of a modal analysis of gallium arsenide nanotubes are presented.

Domaines: Mécanique [physics.med-ph]

Victor A. Eremeyev, Elena A. Ivanova, Nikita F. Morozov, S. E. Strochkov. Natural vibrations in a system of nanotubes. Journal of Applied Mechanics and Technical Physics, 2008, 49 (2), pp.291-300. ⟨hal-00829633⟩