Title: Thermo-mechanical vibration analysis of non-local refined trigonometric shear deformable FG beams

Authors: Mouffoki Abderrahmane; Aicha Bessaim; Houari Mohammed Sid Ahmed; Abdelhakim Kaci; Tounsi Abdelouahed; El Abbas Adda Bedia

Addresses: Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi Sidi Bel Abbes 22000, Algeria ' Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi Sidi Bel Abbes 22000, Algeria; Department of Civil Engineering, Université Mustapha Stambouli de Mascara, Mascara, Algeria ' Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi Sidi Bel Abbes 22000, Algeria; Department of Civil Engineering, Université Mustapha Stambouli de Mascara, Mascara, Algeria ' Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi Sidi Bel Abbes 22000, Algeria; Département de Génie Civil et de l'hydraulique, Université Moulay Tahar de Saida, Saida, Algeria ' Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi Sidi Bel Abbes 22000, Algeria ' Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi Sidi Bel Abbes 22000, Algeria

Abstract: In this article, thermo vibration analysis of functionally graded (FG) nanobeams subjected to linear and uniform temperature distribution is studied. The structure is modelled by new efficient shear beam theory considering the effect of shear deformation without shear correction factor. The mentioned theory satisfies the zero boundary traction conditions on the beam surfaces and can be used for transverse shear strains trigonometric distribution. Material properties of the nanostructure are assumed temperature-dependent and FG based on the distribution of power law. The influence of size scale is captured utilising Eringen theory of non-local elasticity. Based on the present theory, the motion equations are obtained using principle of Hamilton. It is found that the applied theory is very simple and leads to accurate results for thermo vibration analysis of FG nanobeams.

Keywords: FG nanobeam; vibration; thermal loading; shear deformation beam theory.

DOI: 10.1504/IJHM.2019.098950

International Journal of Hydromechatronics, 2019 Vol.2 No.1, pp.54 - 62

Received: 27 Nov 2018
Accepted: 17 Dec 2018
Published online: 09 Apr 2019 *

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