Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

Detalhes bibliográficos
Autor(a) principal: Gao,Yang
Data de Publicação: 2019
Outros Autores: Xiao,Wan-shen, Zhu,Haiping
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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spelling 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
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