Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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=S1679-78252021000700501 |
Resumo: | Abstract The present paper investigates the transverse vibration of a non-uniform axially functionally graded Timoshenko beam with cross-sectional and material properties varying in the beam length direction. The Chebyshev collocation method is used to spatially discretize the governing partial differential equations of motion of the beam into time-dependent ordinary differential equations in terms of Chebyshev differentiation matrices. An algebraic eigenvalue equation in matrix form is then formed to study the free vibration behavior of non-uniform axially functionally graded Timoshenko beams. Several results of natural frequencies of the beams are evaluated and compared with those in the published literature to assure the accuracy of the proposed model. The effects of taper ratio, material graded index, slenderness ratio, material compositions and restraint types on the natural frequencies of tapered axially functionally graded Timoshenko beams are examined. |
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Latin American journal of solids and structures (Online) |
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Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-sectionaxially functionally gradedChebyshev collocation methodnatural frequencytaper ratioAbstract The present paper investigates the transverse vibration of a non-uniform axially functionally graded Timoshenko beam with cross-sectional and material properties varying in the beam length direction. The Chebyshev collocation method is used to spatially discretize the governing partial differential equations of motion of the beam into time-dependent ordinary differential equations in terms of Chebyshev differentiation matrices. An algebraic eigenvalue equation in matrix form is then formed to study the free vibration behavior of non-uniform axially functionally graded Timoshenko beams. Several results of natural frequencies of the beams are evaluated and compared with those in the published literature to assure the accuracy of the proposed model. The effects of taper ratio, material graded index, slenderness ratio, material compositions and restraint types on the natural frequencies of tapered axially functionally graded Timoshenko beams are examined.Associação Brasileira de Ciências Mecânicas2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252021000700501Latin American Journal of Solids and Structures v.18 n.7 2021reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78256434info:eu-repo/semantics/openAccessChen,Wei-Reneng2021-10-19T00:00:00Zoai:scielo:S1679-78252021000700501Revistahttp://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:2021-10-19T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
title |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
spellingShingle |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section Chen,Wei-Ren axially functionally graded Chebyshev collocation method natural frequency taper ratio |
title_short |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
title_full |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
title_fullStr |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
title_full_unstemmed |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
title_sort |
Vibration Analysis of Axially Functionally Graded Timoshenko Beams with Non-uniform Cross-section |
author |
Chen,Wei-Ren |
author_facet |
Chen,Wei-Ren |
author_role |
author |
dc.contributor.author.fl_str_mv |
Chen,Wei-Ren |
dc.subject.por.fl_str_mv |
axially functionally graded Chebyshev collocation method natural frequency taper ratio |
topic |
axially functionally graded Chebyshev collocation method natural frequency taper ratio |
description |
Abstract The present paper investigates the transverse vibration of a non-uniform axially functionally graded Timoshenko beam with cross-sectional and material properties varying in the beam length direction. The Chebyshev collocation method is used to spatially discretize the governing partial differential equations of motion of the beam into time-dependent ordinary differential equations in terms of Chebyshev differentiation matrices. An algebraic eigenvalue equation in matrix form is then formed to study the free vibration behavior of non-uniform axially functionally graded Timoshenko beams. Several results of natural frequencies of the beams are evaluated and compared with those in the published literature to assure the accuracy of the proposed model. The effects of taper ratio, material graded index, slenderness ratio, material compositions and restraint types on the natural frequencies of tapered axially functionally graded Timoshenko beams are examined. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 |
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=S1679-78252021000700501 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252021000700501 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78256434 |
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.18 n.7 2021 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_ |
1754302890819715072 |