@Article{AAMM-5-90,
author = {Mehrabadi , S. JafariSobhaniaragh , B. and Pourdonya , V.},
title = {Free Vibration Analysis of Nanocomposite Plates Reinforced by Graded Carbon Nanotubes Based on First-Order Shear Deformation Plate Theory},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {1},
pages = {90--112},
abstract = {<p style="text-align: justify;">Based on the Mindlin&#39;s first-order shear deformation plate theory this paper
focuses on the free vibration behavior of functionally graded nanocomposite
plates reinforced by aligned and straight single-walled carbon nanotubes (SWCNTs).
The material properties of simply supported functionally graded carbon
nanotube-reinforced (FGCNTR) plates are assumed to be graded in the thickness
direction. The effective material properties at a point are estimated by either
the Eshelby-Mori-Tanaka approach or the extended rule of mixture. Two types of
symmetric carbon nanotubes (CNTs) volume fraction profiles are presented in this
paper. The equations of motion and related boundary conditions are derived using
the Hamilton&#39;s principle. A semi-analytical solution composed of generalized
differential quadrature (GDQ) method, as an efficient and accurate numerical method,
and series solution is adopted to solve the equations of motions. The primary
contribution of the present work is to provide a comparative study of the natural
frequencies obtained by extended rule of mixture and Eshelby-Mori-Tanaka method.
The detailed parametric studies are carried out to study the influences various
types of the CNTs volume fraction profiles, geometrical parameters and CNTs volume
fraction on the free vibration characteristics of FGCNTR plates. The results reveal
that the prediction methods of effective material properties have an insignificant
influence of the variation of the frequency parameters with the plate aspect ratio
and the CNTs volume fraction.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.11-m11182},
url = {http://global-sci.org/intro/article_detail/aamm/59.html}
}