Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock
This article presents an analytical investigation on vibration characteristics of rotating graphene nanoplatelet (GPL)-reinforced plates subjected to rub-impact and thermal shock. The effective material properties are assumed to vary continuously and smoothly along the thickness direction of the pla...
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2020-06-01
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Series: | Advanced Composites Letters |
Online Access: | https://doi.org/10.1177/2633366X20933651 |
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doaj-8d5ee246cb9e468dad11e51d55647fcb2020-11-25T04:00:14ZengSAGE PublishingAdvanced Composites Letters0963-69352020-06-012910.1177/2633366X20933651Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shockTian Yu Zhao0Yu Xuan Wang1Hong Gang Pan2Xiang Sheng Gao3Yi Cai4 Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, People’s Republic of China School of Science, Northeastern University, Shenyang, People’s Republic of China Shenyang Institute of Engineering, Shenyang, People’s Republic of China Beijing Key Laboratory of Advanced Manufacturing Technology, College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, People’s Republic of China School of Control Engineering, Northeastern University, Qinhuangdao, People’s Republic of ChinaThis article presents an analytical investigation on vibration characteristics of rotating graphene nanoplatelet (GPL)-reinforced plates subjected to rub-impact and thermal shock. The effective material properties are assumed to vary continuously and smoothly along the thickness direction of the plate and are determined via the Halpin–Tsai micromechanics model together with the rule of mixture. Considering the gyroscopic effect, the equations of motion are derived by adopting the Hamilton’s principle based on the Kirchhoff’s plate theory. Then, the Galerkin method and the small parameter perturbation method are utilized to obtain the free and forced vibration results for the rotating plate. A detailed parametric study is conducted to examine the effects of the GPL weight fraction, GPL distribution pattern, length-to-thickness ratio and length-to-width ratio of GPLs, and the rotating speed on free vibration characteristics of the nanocomposite plate. Attention is also given to the influences of the GPL weight fraction, thermal flow, and friction coefficient on forced vibration responses of the plate. The obtained results can play a role in the design of a rotating GPL-reinforced plate structure to achieve significantly improved mechanical performance.https://doi.org/10.1177/2633366X20933651 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tian Yu Zhao Yu Xuan Wang Hong Gang Pan Xiang Sheng Gao Yi Cai |
spellingShingle |
Tian Yu Zhao Yu Xuan Wang Hong Gang Pan Xiang Sheng Gao Yi Cai Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock Advanced Composites Letters |
author_facet |
Tian Yu Zhao Yu Xuan Wang Hong Gang Pan Xiang Sheng Gao Yi Cai |
author_sort |
Tian Yu Zhao |
title |
Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock |
title_short |
Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock |
title_full |
Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock |
title_fullStr |
Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock |
title_full_unstemmed |
Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock |
title_sort |
analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock |
publisher |
SAGE Publishing |
series |
Advanced Composites Letters |
issn |
0963-6935 |
publishDate |
2020-06-01 |
description |
This article presents an analytical investigation on vibration characteristics of rotating graphene nanoplatelet (GPL)-reinforced plates subjected to rub-impact and thermal shock. The effective material properties are assumed to vary continuously and smoothly along the thickness direction of the plate and are determined via the Halpin–Tsai micromechanics model together with the rule of mixture. Considering the gyroscopic effect, the equations of motion are derived by adopting the Hamilton’s principle based on the Kirchhoff’s plate theory. Then, the Galerkin method and the small parameter perturbation method are utilized to obtain the free and forced vibration results for the rotating plate. A detailed parametric study is conducted to examine the effects of the GPL weight fraction, GPL distribution pattern, length-to-thickness ratio and length-to-width ratio of GPLs, and the rotating speed on free vibration characteristics of the nanocomposite plate. Attention is also given to the influences of the GPL weight fraction, thermal flow, and friction coefficient on forced vibration responses of the plate. The obtained results can play a role in the design of a rotating GPL-reinforced plate structure to achieve significantly improved mechanical performance. |
url |
https://doi.org/10.1177/2633366X20933651 |
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