On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation
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 resu...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2021/1586388 |
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doaj-229136a394884f5b98499028cab722282021-08-09T00:00:16ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/1586388On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic FoundationNguyen Van Dung0Nguyen Chi Tho1Nguyen Manh Ha2Vu Trong Hieu3Department of Special EquipmentsInstitute of Techniques for Special EngineeringInstitute of Techniques for Special EngineeringInstitute of Techniques for Special EngineeringRotating 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.http://dx.doi.org/10.1155/2021/1586388 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nguyen Van Dung Nguyen Chi Tho Nguyen Manh Ha Vu Trong Hieu |
spellingShingle |
Nguyen Van Dung Nguyen Chi Tho Nguyen Manh Ha Vu Trong Hieu On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation Mathematical Problems in Engineering |
author_facet |
Nguyen Van Dung Nguyen Chi Tho Nguyen Manh Ha Vu Trong Hieu |
author_sort |
Nguyen Van Dung |
title |
On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation |
title_short |
On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation |
title_full |
On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation |
title_fullStr |
On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation |
title_full_unstemmed |
On the Finite Element Model of Rotating Functionally Graded Graphene Beams Resting on Elastic Foundation |
title_sort |
on the finite element model of rotating functionally graded graphene beams resting on elastic foundation |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1563-5147 |
publishDate |
2021-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2021/1586388 |
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