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http://dx.doi.org/10.12989/anr.2016.4.1.031

Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory  

Rakrak, Kaddour (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
Zidour, Mohamed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Heireche, Houari (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
Bousahla, Abdelmoumen Anis (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)
Publication Information
Advances in nano research / v.4, no.1, 2016 , pp. 31-44 More about this Journal
Abstract
This article is concerned with the free vibration problem for chiral double-walled carbon nanotube (DWCNTs) modelled using the non-local elasticity theory and Euler Bernoulli beam model. According to the governing equations of non-local Euler Bernoulli beam theory and the boundary conditions, the analytical solution is derived and two branches of transverse wave propagating are obtained. The numerical results obtained provide better representations of the vibration behaviour of double-walled carbon nanotube, where the aspect ratio of the (DWCNTs), the vibrational mode number, the small-scale coefficient and chirality of double-walled carbon nanotube on the frequency ratio (${\chi}^N$) of the (DWCNTs) are significant. In this work, the numerical results obtained can be used to predict and prevent the phenomenon of resonance for the forced vibration analyses of double -walled carbon nanotubes.
Keywords
free vibration; double-walled carbon nanotube; frequency ratio; chirality; non-local;
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