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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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 |
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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: | 17 Dec 2023 14:53 |
URI: | https://nrl.northumbria.ac.uk/id/eprint/13393 |
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