Static and vibration analysis of functionally graded beams using refined shear deformation theory

Vo, Thuc, Thai, Huu-Tai, Nguyen, Trung-Kien and Inam, Fawad (2013) Static and vibration analysis of functionally graded beams using refined shear deformation theory. Meccanica. pp. 1-14. ISSN 0025-6455

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Official URL: http://dx.doi.org/10.1007/s11012-013-9780-1

Abstract

Static and vibration analysis of functionally graded beams using refined shear deformation theory is presented. The developed theory, which does not require shear correction factor, accounts for shear deformation effect and coupling coming from the material anisotropy. Governing equations of motion are derived from the Hamilton's principle. The resulting coupling is referred to as triply coupled axial-flexural response. A two-noded Hermite-cubic element with five degree-of-freedom per node is developed to solve the problem. Numerical results are obtained for functionally graded beams with simply-supported, cantilever-free and clamped-clamped boundary conditions to investigate effects of the power-law exponent and modulus ratio on the displacements, natural frequencies and corresponding mode shapes.

Item Type: Article
Uncontrolled Keywords: Functionally graded beams, refined shear deformation theory, triply coupled response, finite element model
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: 04 Sep 2013 11:07
Last Modified: 11 May 2017 17:43
URI: http://nrl.northumbria.ac.uk/id/eprint/13393

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