On the behavior of clamped plates under large compression

Detalhes bibliográficos
Autor(a) principal: Antunes, Pedro R. S.
Data de Publicação: 2019
Outros Autores: Buoso, D., Freitas, P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/9683
Resumo: We determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions. Using the method of fundamental solutions, we then carry out a numerical study of the extremal domains for the first eigenvalue, from which we see that these depend on the value of the compression, and start developing a boundary structure as this parameter is increased. The corresponding number of nodal domains of the first eigenfunction of the extremal domain also increases with the compression.
id RCAP_a05273ed0004c57f026ab6962d3ce8f4
oai_identifier_str oai:repositorioaberto.uab.pt:10400.2/9683
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling On the behavior of clamped plates under large compressionBiharmonic operatorPplate with tensionPlate with compressionEeigenvaluesAasymptoticsEextremal domainsWe determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions. Using the method of fundamental solutions, we then carry out a numerical study of the extremal domains for the first eigenvalue, from which we see that these depend on the value of the compression, and start developing a boundary structure as this parameter is increased. The corresponding number of nodal domains of the first eigenfunction of the extremal domain also increases with the compression.This work was partially supported by the Funda ̧c ̃ao para a Ciˆencia e a Tecnologia(Portugal) through the program “Investigador FCT” with reference IF/00177/2013 and the projectExtremal spectral quantities and related problems(PTDC/MAT-CAL/4334/2014).Society for Industrial and Applied MathematicsRepositório AbertoAntunes, Pedro R. S.Buoso, D.Freitas, P.2020-05-11T13:33:03Z2019-09-022019-09-02T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/9683eng0036-139910.1137/19M12496061095-712Xinfo: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:RCAAP2023-11-16T15:33:04Zoai:repositorioaberto.uab.pt:10400.2/9683Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:49:23.966055Repositório 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 On the behavior of clamped plates under large compression
title On the behavior of clamped plates under large compression
spellingShingle On the behavior of clamped plates under large compression
Antunes, Pedro R. S.
Biharmonic operator
Pplate with tension
Plate with compression
Eeigenvalues
Aasymptotics
Eextremal domains
title_short On the behavior of clamped plates under large compression
title_full On the behavior of clamped plates under large compression
title_fullStr On the behavior of clamped plates under large compression
title_full_unstemmed On the behavior of clamped plates under large compression
title_sort On the behavior of clamped plates under large compression
author Antunes, Pedro R. S.
author_facet Antunes, Pedro R. S.
Buoso, D.
Freitas, P.
author_role author
author2 Buoso, D.
Freitas, P.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Antunes, Pedro R. S.
Buoso, D.
Freitas, P.
dc.subject.por.fl_str_mv Biharmonic operator
Pplate with tension
Plate with compression
Eeigenvalues
Aasymptotics
Eextremal domains
topic Biharmonic operator
Pplate with tension
Plate with compression
Eeigenvalues
Aasymptotics
Eextremal domains
description We determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions. Using the method of fundamental solutions, we then carry out a numerical study of the extremal domains for the first eigenvalue, from which we see that these depend on the value of the compression, and start developing a boundary structure as this parameter is increased. The corresponding number of nodal domains of the first eigenfunction of the extremal domain also increases with the compression.
publishDate 2019
dc.date.none.fl_str_mv 2019-09-02
2019-09-02T00:00:00Z
2020-05-11T13:33:03Z
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/10400.2/9683
url http://hdl.handle.net/10400.2/9683
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0036-1399
10.1137/19M1249606
1095-712X
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 Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799135079161659392

Registros relacionados