An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory

Nguyen, Trung-Kien, Vo, Thuc, Nguyen, Ba-Duy and Lee, Jaehong (2016) An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory. Composite Structures, 156. pp. 238-252. ISSN 0263-8223

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Official URL: http://dx.doi.org/10.1016/j.compstruct.2015.11.074

Abstract

This paper presents a Ritz-type analytical solution for buckling and free vibration analysis of functionally graded (FG) sandwich beams with various boundary conditions using a quasi-3D beam theory. It accounts a hyperbolic distribution of both axial and transverse displacements. Equations of motion are derived from Lagrange’s equations. Two types of FG sandwich beams namely FG-faces ceramic-core (type A) and FG-core homogeneous-faces (type B) are considered. Numerical results are compared with earlier works and investigated effects of the power-law index, thickness ratio of layers, span-to-depth ratio and boundary conditions on the critical buckling loads and natural frequencies.

Item Type: Article
Additional Information: Available online before print 15/12/15.
Uncontrolled Keywords: Functionally graded sandwich beams; A quasi-3D theory; Buckling; Vibration
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Becky Skoyles
Date Deposited: 13 Jan 2016 08:19
Last Modified: 10 May 2017 09:23
URI: http://nrl.northumbria.ac.uk/id/eprint/25400

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