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http://dx.doi.org/10.12989/sem.2018.66.6.771

A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation  

Hadji, Lazreg (Department of Civil Engineering, Ibn Khaldoun University)
Meziane, Mohamed Ait Amar (Department of Civil Engineering, Ibn Khaldoun University)
Safa, Abdelkader (Department of Civil Engineering, Ahmed Zabana University)
Publication Information
Structural Engineering and Mechanics / v.66, no.6, 2018 , pp. 771-781 More about this Journal
Abstract
This study deals with free vibrations analysis with stretching effect of nanocomposite beams reinforced by single-walled carbon nanotubes (SWCNTs) resting on an elastic foundation. 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 significant feature of this model is that, in addition to including the shear deformation effect and stretching effect it deals with only 4 unknowns without including a shear correction factor. The governing equations are derived through using Hamilton's principle. Natural frequencies are obtained for nanocomposite beams. The mathematical models provided in this paper are numerically validated by comparison with some available results. New results of free vibration analyses of CNTRC beams based on the present theory with stretching effect is presented and discussed in details. The effects of different parameters of the beam on the vibration responses of CNTRC beam are discussed.
Keywords
free vibration; stretching effect; CNTRC beams; elastic foundation;
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Times Cited By KSCI : 47  (Citation Analysis)
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