A nonlocal Timoshenko beam model for free vibration analysis of chiral single-walled carbon nanotubes

Tahar Hassaine Daouadji; Tayeb Bensattalah; Mohamed Zidour

A nonlocal Timoshenko beam model for free vibration analysis of chiral single-walled carbon nanotubes

EuroSciCon Conference on Advanced Nanotechnology
April 18-19, 2019 | Paris, France

Tahar Hassaine Daouadji, Tayeb Bensattalah and Mohamed Zidour

Laboratoire de Geomatique et Developpement Durable-Universite de Tiaret, Algeria

Posters & Accepted Abstracts: Nano Res Appl

Abstract

In this study, nonlocal Timoshenko beam theory has been implemented to investigate the free vibration response of chiral singlewalled carbon nanotubes (SWCNTs). According to nonlocal Timoshenko vibration equation for SWCNTs, The analytical solution is derived and two solutions for vibration are obtained. Influence of nonlocal small-scale coefficient, the vibrational mode number, the chirality of carbon nanotube and aspect ratio of the (SWCNTs) on frequency of the SWCNTs are studied and discussed. The results indicate signiï¬cant dependence of natural frequencies on the chirality of single-walled carbon nanotube with increase in the nonlocal small-scale coefficient, the vibrational mode number and the nanotube aspect ratio of length to diameter.