Natural vibrations in a system of nanotubes

  • V. A. Eremeyev
  • E. A. Ivanova
  • N. F. Morozov
  • S. E. Strochkov


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.

Key words

nanomechanics natural vibrations nanotubes flexural rigidity shells electroelasticity finite element method 


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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • V. A. Eremeyev
    • 1
    • 4
  • E. A. Ivanova
    • 2
  • N. F. Morozov
    • 3
  • S. E. Strochkov
    • 4
  1. 1.Southern Scientific CenterRussian Academy of SciencesRostov-on-Don
  2. 2.St. Petersburg State Polytechnical UniversitySt. Petersburg
  3. 3.St. Petersburg State UniversitySt. Petersburg
  4. 4.Southern Federal UniversityRostov-on-Don

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