Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000100504 |
Resumo: | Abstract Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton’s principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube’s linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes. |
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Latin American journal of solids and structures (Online) |
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Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation methodFunctionally graded materialNon-localVibrationBi-semi-tubesPerturbation method;Abstract Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton’s principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube’s linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes.Associação Brasileira de Ciências Mecânicas2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000100504Latin American Journal of Solids and Structures v.16 n.1 2019reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78255156info:eu-repo/semantics/openAccessGao,YangXiao,Wan-shenZhu,Haipingeng2019-01-30T00:00:00Zoai:scielo:S1679-78252019000100504Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2019-01-30T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
title |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
spellingShingle |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method Gao,Yang Functionally graded material Non-local Vibration Bi-semi-tubes Perturbation method; |
title_short |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
title_full |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
title_fullStr |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
title_full_unstemmed |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
title_sort |
Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method |
author |
Gao,Yang |
author_facet |
Gao,Yang Xiao,Wan-shen Zhu,Haiping |
author_role |
author |
author2 |
Xiao,Wan-shen Zhu,Haiping |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Gao,Yang Xiao,Wan-shen Zhu,Haiping |
dc.subject.por.fl_str_mv |
Functionally graded material Non-local Vibration Bi-semi-tubes Perturbation method; |
topic |
Functionally graded material Non-local Vibration Bi-semi-tubes Perturbation method; |
description |
Abstract Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton’s principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube’s linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-01-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000100504 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000100504 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78255156 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.16 n.1 2019 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302889969319936 |