Journal
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
Volume 98, Issue -, Pages 119-128Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.ijpvp.2012.07.012
Keywords
Carbon nanotube; Timoshenko beam; Elastic foundation; Free vibrations; Buckling load
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This study deals with free vibrations and buckling analysis of nanocomposite Timoshenko beams reinforced by single-walled carbon nanotubes (SWCNTs) resting on an elastic foundation. The SWCNTs are assumed to be aligned and straight with a uniform layout. Four different carbon nanotubes (CNTs) distributions including uniform and three types of functionally graded distributions of CNTs through the thickness are considered. The rule of mixture is used to describe the effective material properties of the nanocomposite beams. The governing equations are derived through using Hamilton's principle and then solved by using the generalized differential quadrature method (GDQM). Natural frequencies and critical buckling load are obtained for nanocomposite beams with different boundary conditions. Effects of several parameters, such as nanotube volume fraction, foundation stiffness parameters, slenderness ratios, CNTs distribution and boundary conditions on both natural frequency and critical buckling load are investigated. The results indicate that the above-mentioned parameters play a very important role on the free vibrations and buckling characteristics of the beam. (C) 2012 Elsevier Ltd. All rights reserved.
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