Nonlocal free vibrations of metallic FGM beams
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.21/14614 |
Resumo: | This work aims to analyse the free-vibration response of functionally graded, simply supported beams with different gradient directions, taking into account nonlocal effects. To this purpose, the first-order shear deformation theory and the nonlocal elasticity theory of Eringen are used, in order to assess the influence of size dependency effects on the free-vibration responses of those beams. The influence of other factors such as the aspect ratio of the beams and the evolution of the constituents’ mixture through the beam thickness and along its length is also considered. In this last case, a mixture distribution is proposed, accounting for the boundary conditions’ characteristics. The finite element model is first verified against existing alternative solutions, to assess and illustrate its performance. Based on the conclusions achieved, a set of parametric studies is then developed. The results are discussed considering the material distribution profiles, and conclusions are drawn with respect to their relative performance under the analysed conditions. |
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Nonlocal free vibrations of metallic FGM beamsEringen’ nonlocal theoryFirst-order shear deformation theoryFunctionally graded materialsFree vibrationsFinite element analysisThis work aims to analyse the free-vibration response of functionally graded, simply supported beams with different gradient directions, taking into account nonlocal effects. To this purpose, the first-order shear deformation theory and the nonlocal elasticity theory of Eringen are used, in order to assess the influence of size dependency effects on the free-vibration responses of those beams. The influence of other factors such as the aspect ratio of the beams and the evolution of the constituents’ mixture through the beam thickness and along its length is also considered. In this last case, a mixture distribution is proposed, accounting for the boundary conditions’ characteristics. The finite element model is first verified against existing alternative solutions, to assess and illustrate its performance. Based on the conclusions achieved, a set of parametric studies is then developed. The results are discussed considering the material distribution profiles, and conclusions are drawn with respect to their relative performance under the analysed conditions.MDPIRCIPLLoja, M.A.R.Rzeszut, KatarzynaBarbosa, Joaquim2022-05-03T10:47:59Z2022-04-252022-04-25T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/14614engLOJA, Maria A. R.; RZESZUT, Katarzyna; BARBOSA, Joaquim I. – Nonlocal free vibrations of metallic FGM beams. Journal of Composites Science. eISSN 2504-477x. Vol. 6, N.º 5 (2022), pp. 1-21.10.3390/jcs60501252504-477Xinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T10:11:03Zoai:repositorio.ipl.pt:10400.21/14614Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:22:23.392265Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Nonlocal free vibrations of metallic FGM beams |
title |
Nonlocal free vibrations of metallic FGM beams |
spellingShingle |
Nonlocal free vibrations of metallic FGM beams Loja, M.A.R. Eringen’ nonlocal theory First-order shear deformation theory Functionally graded materials Free vibrations Finite element analysis |
title_short |
Nonlocal free vibrations of metallic FGM beams |
title_full |
Nonlocal free vibrations of metallic FGM beams |
title_fullStr |
Nonlocal free vibrations of metallic FGM beams |
title_full_unstemmed |
Nonlocal free vibrations of metallic FGM beams |
title_sort |
Nonlocal free vibrations of metallic FGM beams |
author |
Loja, M.A.R. |
author_facet |
Loja, M.A.R. Rzeszut, Katarzyna Barbosa, Joaquim |
author_role |
author |
author2 |
Rzeszut, Katarzyna Barbosa, Joaquim |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
RCIPL |
dc.contributor.author.fl_str_mv |
Loja, M.A.R. Rzeszut, Katarzyna Barbosa, Joaquim |
dc.subject.por.fl_str_mv |
Eringen’ nonlocal theory First-order shear deformation theory Functionally graded materials Free vibrations Finite element analysis |
topic |
Eringen’ nonlocal theory First-order shear deformation theory Functionally graded materials Free vibrations Finite element analysis |
description |
This work aims to analyse the free-vibration response of functionally graded, simply supported beams with different gradient directions, taking into account nonlocal effects. To this purpose, the first-order shear deformation theory and the nonlocal elasticity theory of Eringen are used, in order to assess the influence of size dependency effects on the free-vibration responses of those beams. The influence of other factors such as the aspect ratio of the beams and the evolution of the constituents’ mixture through the beam thickness and along its length is also considered. In this last case, a mixture distribution is proposed, accounting for the boundary conditions’ characteristics. The finite element model is first verified against existing alternative solutions, to assess and illustrate its performance. Based on the conclusions achieved, a set of parametric studies is then developed. The results are discussed considering the material distribution profiles, and conclusions are drawn with respect to their relative performance under the analysed conditions. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-05-03T10:47:59Z 2022-04-25 2022-04-25T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.21/14614 |
url |
http://hdl.handle.net/10400.21/14614 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
LOJA, Maria A. R.; RZESZUT, Katarzyna; BARBOSA, Joaquim I. – Nonlocal free vibrations of metallic FGM beams. Journal of Composites Science. eISSN 2504-477x. Vol. 6, N.º 5 (2022), pp. 1-21. 10.3390/jcs6050125 2504-477X |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
MDPI |
publisher.none.fl_str_mv |
MDPI |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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