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Structural Engineering and Mechanics Volume 66, Number 6, June25 2018 , pages 771-781 DOI: https://doi.org/10.12989/sem.2018.66.6.771 |
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A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation |
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Lazreg Hadji, Mohamed Ait Amar Meziane and Abdelkader Safa
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| 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. | ||
| Key Words | ||
| free vibration; stretching effect; CNTRC beams; elastic foundation | ||
| Address | ||
| Lazreg Hadji: 1) Department of Civil Engineering, Ibn Khaldoun University, BP 78 Zaaroura, 14000 Tiaret, Algeria 2) Laboratory of Geomatics and Sustainable Development, Ibn Khaldoun University of Tiaret, Algeria Mohamed Ait Amar Meziane: Department of Civil Engineering, Ibn Khaldoun University, BP 78 Zaaroura, 14000 Tiaret, Algeria Abdelkader Safa: Department of Civil Engineering, Ahmed Zabana University, 48000 Relizane, Algeria | ||