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

Ahmed Dihaj , Mohamed Zidour , Mustapha Meradjah , Kaddour Rakrak , Houari Heireche , Awda Chemi

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.

Key Words

vibration; nanotube; zigzag; armchair; chirality; non-local

Address

Ahmed Dihaj and Mustapha Meradjah — Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algerie
Mohamed Zidour — 1) Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie 2) Laboratoire de Geomatique et Developpement Durable, Universite Ibn Khaldoun de Tiaret, Algerie
Kaddour Rakrak — 1) Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algerie 2) UniversiteIbn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie
Houari Heireche and Awda Chemi — Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algerie

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