Frequency dependence of the speed of sound in metallic rods

Detalhes bibliográficos
Autor(a) principal: Marques, A. C.
Data de Publicação: 2023
Outros Autores: Rodrigues, M. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/162718
Resumo: Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.
id RCAP_2267bf7cd3ed78ffcbbb0234a3214549
oai_identifier_str oai:run.unl.pt:10362/162718
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Frequency dependence of the speed of sound in metallic rodsPochhammer-Chree dispersionsound speedstanding wavethin rodAtomic and Molecular Physics, and OpticsMathematical PhysicsCondensed Matter PhysicsPublisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.The speed of sound waves in rods depends on the relationship between wavelength and rod dimensions. It differs from the speeds readily available in tables, and from what is often learned during most introductory courses on solid-state physics. Metallic rods with diameters in the centimetre range excited with sound waves of tens of kHz will behave as dispersive media. Here, the speed of sound in metallic titanium rods of different lengths is measured using two different methodologies: (1) from the time of flight and (2) from the wavelength and frequency of standing waves that form in the rod. The latter allows analyzing the results in light of Pochhammer-Cree dispersion. The reflection coefficient is also determined both from time and from frequency response. Two off-the-shelf piezoelectric transducers, a function generator, an oscilloscope, and a lock-in amplifier were used. We have used a low-frequency square wave (of tens of Hz) in the first case and a sine wave with frequencies that range from audible to ultrasound in the second case. Experimental results show that the speed of sound decreases as the wavelength decreases. The Pochhammer-Chree dispersion equation was numerically solved to fit the experimental data that can be used to estimate both the Young modulus and the Poisson ratio. A practical empirical formula that allows data analysis without explicitly solving the Pochhammer-Chree equation is suggested.DCM - Departamento de Ciência dos MateriaisCENIMAT-i3N - Centro de Investigação de Materiais (Lab. Associado I3N)RUNMarques, A. C.Rodrigues, M. S.2024-01-24T17:08:38Z2023-12-012023-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article12application/pdfhttp://hdl.handle.net/10362/162718eng0031-8949PURE: 82010532https://doi.org/10.1088/1402-4896/ad0693info: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:RCAAP2024-03-11T05:45:41Zoai:run.unl.pt:10362/162718Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:59:02.622551Repositório 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 Frequency dependence of the speed of sound in metallic rods
title Frequency dependence of the speed of sound in metallic rods
spellingShingle Frequency dependence of the speed of sound in metallic rods
Marques, A. C.
Pochhammer-Chree dispersion
sound speed
standing wave
thin rod
Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics
title_short Frequency dependence of the speed of sound in metallic rods
title_full Frequency dependence of the speed of sound in metallic rods
title_fullStr Frequency dependence of the speed of sound in metallic rods
title_full_unstemmed Frequency dependence of the speed of sound in metallic rods
title_sort Frequency dependence of the speed of sound in metallic rods
author Marques, A. C.
author_facet Marques, A. C.
Rodrigues, M. S.
author_role author
author2 Rodrigues, M. S.
author2_role author
dc.contributor.none.fl_str_mv DCM - Departamento de Ciência dos Materiais
CENIMAT-i3N - Centro de Investigação de Materiais (Lab. Associado I3N)
RUN
dc.contributor.author.fl_str_mv Marques, A. C.
Rodrigues, M. S.
dc.subject.por.fl_str_mv Pochhammer-Chree dispersion
sound speed
standing wave
thin rod
Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics
topic Pochhammer-Chree dispersion
sound speed
standing wave
thin rod
Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics
description Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.
publishDate 2023
dc.date.none.fl_str_mv 2023-12-01
2023-12-01T00:00:00Z
2024-01-24T17:08:38Z
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/10362/162718
url http://hdl.handle.net/10362/162718
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0031-8949
PURE: 82010532
https://doi.org/10.1088/1402-4896/ad0693
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 12
application/pdf
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_ 1799138170914209792

Registros relacionados