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Advances in Materials Research
  Volume 7, Number 3, September 2018, pages 163-174
Analytical analysis for the forced vibration of CNT surrounding elastic medium including thermal effect using nonlocal Euler-Bernoulli theory
Tayeb Bensattalah, Mohamed Zidour and Tahar Hassaine Daouadji

Abstract     [Full Text]
    This article studies the free and forced vibrations of the carbon nanotubes CNTs embedded in an elastic medium including thermal and dynamic load effects based on nonlocal Euler- Bernoulli beam. A Winkler type elastic foundation is employed to model the interaction of carbon nanotube and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, high temperature change, Winkler modulus parameter, vibration mode and aspect ratio of short carbon nanotubes on the vibration frequency are analyzed and discussed. The non-local Euler-Bernoulli beam model predicts lower resonance frequencies. The research work reveals the significance of the small-scale coefficient, the vibrational mode number, the elastic medium and the temperature change on the non-dimensional natural frequency.
Key Words
    Winkler\'s moduls; forced vibration; carbon nanotubes; non-local Euler beam theory
(1) Département de génie civil, Université Ibn Khaldoun Tiaret; BP 78 Zaaroura, Tiaret, Algérie;
(2) Laboratoire de Géomatique et Développement Durable, Université de Tiaret, Algérie.

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