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On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation

Van Dung, N. and Tho, N.C. and Ha, N.M. and Hieu, V.T. (2021) On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation. Mathematical Problems in Engineering, 2021: 1586388. ISSN 1024123X

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Abstract

Rotating structures can be easily encountered in engineering practice such as turbines, helicopter propellers, railroad tracks in turning positions, and so on. In such cases, it can be seen as a moving beam that rotates around a fixed axis. These structures commonly operate in hot weather; as a result, the arising temperature significantly changes their mechanical response, so studying the mechanical behavior of these structures in a temperature environment has great implications for design and use in practice. This work is the first exploration using the new shear deformation theory-type hyperbolic sine functions to carry out the free vibration analysis of the rotating functionally graded graphene beam resting on the elastic foundation taking into account the effects of both temperature and the initial geometrical imperfection. Equations for determining the fundamental frequencies as well as the vibration mode shapes of the beam are established, as mentioned, by the finite element method. The beam material is reinforced with graphene platelets (GPLs) with three types of GPL distribution ratios. The numerical results show numerous new points that have not been published before, especially the influence of the rotational speed, temperature, and material distribution on the free vibration response of the structure. © 2021 Nguyen Van Dung et al.

Item Type: Article
Divisions: Institutes > Institute of Techniques for Special Engineering
Faculties > Faculty of Special Equipments
Identification Number: 10.1155/2021/1586388
Uncontrolled Keywords: Aircraft propellers; Graphene; Hyperbolic functions; Shear deformation; Shear flow; Vibration analysis; Free vibration response; Free-vibration analysis; Fundamental frequencies; Initial geometrical imperfections; Material distribution; Shear deformation theory; Temperature environments; Vibration mode shapes; Finite element method
Additional Information: Language of original document: English. All Open Access, Gold.
URI: http://eprints.lqdtu.edu.vn/id/eprint/8727

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