Harmonic oscillations on non-homogeneous media
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/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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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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1799136624368418816 |