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Structural Engineering and Mechanics Volume 48, Number 3, November10 2013 , pages 351-365 DOI: https://doi.org/10.12989/sem.2013.48.3.351 |
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Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams |
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H.M. Berrabah, Abdelouahed Tounsi, Abdelwahed Semmah and E.A. Adda Bedia
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| Abstract | ||
| In this paper, unified nonlocal shear deformation theory is proposed to study bending, buckling and free vibration of nanobeams. This theory is based on the assumption that the in-plane and transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. In addition, this present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and does not require shear correction factors. The equations of motion are derived from Hamilton\'s principle. Analytical solutions for the deflection, buckling load, and natural frequency are presented for a simply supported nanobeam, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory and Reddy beam theories. | ||
| Key Words | ||
| nonlocal beam models; shear deformation; bending; buckling; vibration; nanobeam | ||
| Address | ||
| H.M. Berrabah, Abdelouahed Tounsi, E.A. Adda Bedia : Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil, Algeria Abdelouahed Tounsi : Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil, Algeria Abdelwahed Semmah : Universite de Sidi Bel Abbes, Faculte des Sciences exactes, Departement de Physique, Algeria | ||