Structural Engineering and Mechanics

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Free vibration analysis of chiral double-walled carbon nanotube embedded in an elastic medium using non-local elasticity theory and Euler Bernoulli beam model

  • Dihaj, Ahmed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes) ;
  • Zidour, Mohamed (Universite Ibn Khaldoun) ;
  • Meradjah, Mustapha (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes) ;
  • Rakrak, Kaddour (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) ;
  • Heireche, Houari (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) ;
  • Chemi, Awda (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
  • Received : 2017.02.06
  • Accepted : 2017.12.04
  • Published : 2018.02.10
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Abstract

The transverse free vibration of chiral double-walled carbon nanotube (DWCNTs) embedded in elastic medium is modeled by the non-local elasticity theory and Euler Bernoulli beam model. The governing equations are derived and the solutions of frequency are obtained. According to this study, the vibrational mode number, the small-scale coefficient, the Winkler parameter and chirality of double-walled carbon nanotube on the frequency ratio (xN) of the (DWCNTs) are studied and discussed. The new features of the vibration behavior of (DWCNTs) embedded in an elastic medium and the present solutions can be used for the static and dynamic analyses of double-walled carbon nanotubes.

Keywords

Acknowledgement

Supported by : Algerian national agency for development of university research (ANDRU), university of sidi bel abbes (UDL SBA)

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