RESEARCH ARTICLE

Analytical and numerical investigation into the longitudinal vibration of uniform nanotubes

  • Masoud MASOUMI , 1 ,
  • Mehdi MASOUMI , 2
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  • 1. Mechanical Engineering Department, SUNY, Stony Brook, NY 11794, USA
  • 2. Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran

Received date: 09 Dec 2013

Accepted date: 17 Feb 2014

Published date: 22 May 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

In recent years, prediction of the behaviors of micro and nanostructures is going to be a matter of increasing concern considering their developments and uses in various engineering fields. Since carbon nanotubes show the specific properties such as strength and special electrical behaviors, they have become the main subject in nanotechnology researches. On the grounds that the classical continuum theory cannot accurately predict the mechanical behavior of nanostructures, nonlocal elasticity theory is used to model the nanoscaled systems. In this paper, a nonlocal model for nanorods is developed, and it is used to model the carbon nanotubes with the aim of the investigating into their longitudinal vibration. Following the derivation of governing equation of nanorods and estimation of nondimensional frequencies, the effect of nonlocal parameter and the length of the nanotube on the obtained frequencies are studied. Furthermore, differential quadrature method, as a numerical solution technique, is used to study the effect of these parameters on estimated frequencies for both classical and nonlocal theories.

Cite this article

Masoud MASOUMI , Mehdi MASOUMI . Analytical and numerical investigation into the longitudinal vibration of uniform nanotubes[J]. Frontiers of Mechanical Engineering, 2014 , 9(2) : 142 -149 . DOI: 10.1007/s11465-014-0292-z

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