Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials
An isogeometric numerical procedure based on non-uniform rational B-splines is applied to solve the free vibration of carbon nanotubes reinforced and functionally graded material sector cylindrical shells. A typical isogeometric analysis cylindrical shell element is introduced to transform curviline...
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doaj-148a2b25e796458291435b2a54a2a3cd2020-11-25T02:23:06ZengElsevierResults in Physics2211-37972020-03-0116102889Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materialsYantao Zhang0Guoyong Jin1Mingfei Chen2Tiangui Ye3Zhigang Liu4College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaCorresponding author.; College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR ChinaAn isogeometric numerical procedure based on non-uniform rational B-splines is applied to solve the free vibration of carbon nanotubes reinforced and functionally graded material sector cylindrical shells. A typical isogeometric analysis cylindrical shell element is introduced to transform curvilinear domain to parametric domain. The effects of the shear deformation, rotary inertia and axis extensibility are taken into consideration. The material properties are estimated by a mixture rule and effective carbon nanotube parameters. The weak form is derived in detail by applying virtual principle. The novelty of this paper is to use the isogeometric finite element method to analyze the dynamic behaviors of sector cylindrical shells with functionally graded material and four types of carbon nanotubes distributed material. By numerical examples, the convergence and accuracy of the current method are validated. Then, a series of natural frequencies and mode shapes are presented to serve as benchmark solutions in future researches. Moreover, the effects of boundary conditions, geometric proprieties as well as material parameters on the frequencies of the carbon nanotubes reinforced and functionally graded material sector cylindrical shells are examined.http://www.sciencedirect.com/science/article/pii/S2211379719330232Free vibrationCarbon nanotubesFunctionally graded materialSector cylindrical shellsIsogeometric analysis |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yantao Zhang Guoyong Jin Mingfei Chen Tiangui Ye Zhigang Liu |
spellingShingle |
Yantao Zhang Guoyong Jin Mingfei Chen Tiangui Ye Zhigang Liu Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials Results in Physics Free vibration Carbon nanotubes Functionally graded material Sector cylindrical shells Isogeometric analysis |
author_facet |
Yantao Zhang Guoyong Jin Mingfei Chen Tiangui Ye Zhigang Liu |
author_sort |
Yantao Zhang |
title |
Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials |
title_short |
Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials |
title_full |
Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials |
title_fullStr |
Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials |
title_full_unstemmed |
Isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials |
title_sort |
isogeometric free vibration of sector cylindrical shells with carbon nanotubes reinforced and functionally graded materials |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2020-03-01 |
description |
An isogeometric numerical procedure based on non-uniform rational B-splines is applied to solve the free vibration of carbon nanotubes reinforced and functionally graded material sector cylindrical shells. A typical isogeometric analysis cylindrical shell element is introduced to transform curvilinear domain to parametric domain. The effects of the shear deformation, rotary inertia and axis extensibility are taken into consideration. The material properties are estimated by a mixture rule and effective carbon nanotube parameters. The weak form is derived in detail by applying virtual principle. The novelty of this paper is to use the isogeometric finite element method to analyze the dynamic behaviors of sector cylindrical shells with functionally graded material and four types of carbon nanotubes distributed material. By numerical examples, the convergence and accuracy of the current method are validated. Then, a series of natural frequencies and mode shapes are presented to serve as benchmark solutions in future researches. Moreover, the effects of boundary conditions, geometric proprieties as well as material parameters on the frequencies of the carbon nanotubes reinforced and functionally graded material sector cylindrical shells are examined. |
topic |
Free vibration Carbon nanotubes Functionally graded material Sector cylindrical shells Isogeometric analysis |
url |
http://www.sciencedirect.com/science/article/pii/S2211379719330232 |
work_keys_str_mv |
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