Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory

Nguyen, Trung-Kien, Nguyen, T. Truong-Phong, Vo, Thuc and Thai, Huu-Tai (2015) Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory. Composites Part B: Engineering, 76. 273- 285. ISSN 1359-8368

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Official URL: http://dx.doi.org/10.1016/j.compositesb.2015.02.03...

Abstract

This paper proposes a new higher-order shear deformation theory for buckling and free vibration analysis of isotropic and functionally graded (FG) sandwich beams. The present theory accounts a new hyperbolic distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion are derived from Lagrange’s equations. Analytical solutions are presented for the isotropic and FG sandwich beams with various boundary conditions. Numerical results for natural frequencies and critical buckling loads obtained using the present theory are compared with those obtained using the higher and first-order shear deformation beam theories. Effects of the boundary conditions, power-law index, span-to-depth ratio and skin-core-skin thickness ratios on the critical buckling loads and natural frequencies of the FG beams are discussed.

Item Type: Article
Additional Information: Published online before print.
Uncontrolled Keywords: Numerical analysis, hybrid
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
H400 Aerospace Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Thuc Vo
Date Deposited: 09 Mar 2015 08:52
Last Modified: 09 May 2017 05:34
URI: http://nrl.northumbria.ac.uk/id/eprint/21564

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