Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams

Detalhes bibliográficos
Autor(a) principal: Kananipour,Hassan
Data de Publicação: 2014
Outros Autores: Ahmadi,Mehdi, Chavoshi,Hossein
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=S1679-78252014000500007
Resumo: In this paper, a new numerical technique, the differential quadrature method (DQM) has been developed for dynamic analysis of the nanobeams in the polar coordinate system. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points. A semicircular arch with small-scale effects is investigated by the nonlocal continuum theory with simply supported boundary conditions. The governing equations for Euler-Bernoulli nonlocal beam models are derived. The expressions of the bending displacement are presented analytically. The convergence properties and the accuracy of the DQM for bending of curved nanobeams are investigated through a number of numerical computations. It can be observed that use of DQM, which is independent of domain discretization to be efficient.
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spelling Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeamsDQMcurved nanobeammoving particle loadIn this paper, a new numerical technique, the differential quadrature method (DQM) has been developed for dynamic analysis of the nanobeams in the polar coordinate system. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points. A semicircular arch with small-scale effects is investigated by the nonlocal continuum theory with simply supported boundary conditions. The governing equations for Euler-Bernoulli nonlocal beam models are derived. The expressions of the bending displacement are presented analytically. The convergence properties and the accuracy of the DQM for bending of curved nanobeams are investigated through a number of numerical computations. It can be observed that use of DQM, which is independent of domain discretization to be efficient.Associação Brasileira de Ciências Mecânicas2014-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500007Latin American Journal of Solids and Structures v.11 n.5 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014000500007info:eu-repo/semantics/openAccessKananipour,HassanAhmadi,MehdiChavoshi,Hosseineng2014-02-03T00:00:00Zoai:scielo:S1679-78252014000500007Revistahttp://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:2014-02-03T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
title Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
spellingShingle Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
Kananipour,Hassan
DQM
curved nanobeam
moving particle load
title_short Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
title_full Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
title_fullStr Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
title_full_unstemmed Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
title_sort Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
author Kananipour,Hassan
author_facet Kananipour,Hassan
Ahmadi,Mehdi
Chavoshi,Hossein
author_role author
author2 Ahmadi,Mehdi
Chavoshi,Hossein
author2_role author
author
dc.contributor.author.fl_str_mv Kananipour,Hassan
Ahmadi,Mehdi
Chavoshi,Hossein
dc.subject.por.fl_str_mv DQM
curved nanobeam
moving particle load
topic DQM
curved nanobeam
moving particle load
description In this paper, a new numerical technique, the differential quadrature method (DQM) has been developed for dynamic analysis of the nanobeams in the polar coordinate system. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points. A semicircular arch with small-scale effects is investigated by the nonlocal continuum theory with simply supported boundary conditions. The governing equations for Euler-Bernoulli nonlocal beam models are derived. The expressions of the bending displacement are presented analytically. The convergence properties and the accuracy of the DQM for bending of curved nanobeams are investigated through a number of numerical computations. It can be observed that use of DQM, which is independent of domain discretization to be efficient.
publishDate 2014
dc.date.none.fl_str_mv 2014-10-01
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=S1679-78252014000500007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1679-78252014000500007
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.11 n.5 2014
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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