On the behavior of clamped plates under large compression
Autor(a) principal: | |
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Data de Publicação: | 2019 |
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/10400.2/9683 |
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. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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 |
|
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1799135079161659392 |