Harmonic oscillations on non-homogeneous media

Detalhes bibliográficos
Autor(a) principal: Correia Ramos, Carlos
Data de Publicação: 2018
Outros Autores: Bandeira, Luís
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/23484
Resumo: We introduce a model to study the vibrational properties of non-homogeneous materials. In our work these materials, naturally idealized, are composed by one dimensional chains of harmonic oscillators represented by an alternating sequence of particles and springs. Despite the system has explicit solutions since it is linear, the formulas can be very complicated. We use homogeneous chains as building blocks for characterizing the whole system and the global dynamics. In particular, we determine the solution for a chain composed of two distinct homogeneous chains in terms of the original solutions for these two homogeneous chains, when uncoupled. This gives us a general procedure to deal easily with hon-homogeneous chains.
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spelling Harmonic oscillations on non-homogeneous mediadynamical systemharmonic oscillatornon-homogenous chainsrecursionWe introduce a model to study the vibrational properties of non-homogeneous materials. In our work these materials, naturally idealized, are composed by one dimensional chains of harmonic oscillators represented by an alternating sequence of particles and springs. Despite the system has explicit solutions since it is linear, the formulas can be very complicated. We use homogeneous chains as building blocks for characterizing the whole system and the global dynamics. In particular, we determine the solution for a chain composed of two distinct homogeneous chains in terms of the original solutions for these two homogeneous chains, when uncoupled. This gives us a general procedure to deal easily with hon-homogeneous chains.CESER Publications2018-09-27T14:27:47Z2018-09-272018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/23484http://hdl.handle.net/10174/23484engCorreia Ramos, C., Bandeira, L., Harmonic oscillations on non-homogeneous media, Int. J. Appl. Math. Stat., vol. 57, no. 5, pp. 1-13, 2018.0973-1377 (Print)0973-7545 (Online)http://www.ceser.in/ceserp/index.php/ijamas/article/view/5697ccr@uevora.ptlmzb@uevora.pt721Correia Ramos, CarlosBandeira, Luísinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T19:15:30Zoai:dspace.uevora.pt:10174/23484Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:14:15.790731Repositório 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 Harmonic oscillations on non-homogeneous media
title Harmonic oscillations on non-homogeneous media
spellingShingle Harmonic oscillations on non-homogeneous media
Correia Ramos, Carlos
dynamical system
harmonic oscillator
non-homogenous chains
recursion
title_short Harmonic oscillations on non-homogeneous media
title_full Harmonic oscillations on non-homogeneous media
title_fullStr Harmonic oscillations on non-homogeneous media
title_full_unstemmed Harmonic oscillations on non-homogeneous media
title_sort Harmonic oscillations on non-homogeneous media
author Correia Ramos, Carlos
author_facet Correia Ramos, Carlos
Bandeira, Luís
author_role author
author2 Bandeira, Luís
author2_role author
dc.contributor.author.fl_str_mv Correia Ramos, Carlos
Bandeira, Luís
dc.subject.por.fl_str_mv dynamical system
harmonic oscillator
non-homogenous chains
recursion
topic dynamical system
harmonic oscillator
non-homogenous chains
recursion
description We introduce a model to study the vibrational properties of non-homogeneous materials. In our work these materials, naturally idealized, are composed by one dimensional chains of harmonic oscillators represented by an alternating sequence of particles and springs. Despite the system has explicit solutions since it is linear, the formulas can be very complicated. We use homogeneous chains as building blocks for characterizing the whole system and the global dynamics. In particular, we determine the solution for a chain composed of two distinct homogeneous chains in terms of the original solutions for these two homogeneous chains, when uncoupled. This gives us a general procedure to deal easily with hon-homogeneous chains.
publishDate 2018
dc.date.none.fl_str_mv 2018-09-27T14:27:47Z
2018-09-27
2018-01-01T00:00:00Z
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/10174/23484
http://hdl.handle.net/10174/23484
url http://hdl.handle.net/10174/23484
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Correia Ramos, C., Bandeira, L., Harmonic oscillations on non-homogeneous media, Int. J. Appl. Math. Stat., vol. 57, no. 5, pp. 1-13, 2018.
0973-1377 (Print)
0973-7545 (Online)
http://www.ceser.in/ceserp/index.php/ijamas/article/view/5697
ccr@uevora.pt
lmzb@uevora.pt
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.publisher.none.fl_str_mv CESER Publications
publisher.none.fl_str_mv CESER Publications
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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