Wave reflection at the end of a waveguide supported by a nonlinear spring

Detalhes bibliográficos
Autor(a) principal: Brennan, M. J. [UNESP]
Data de Publicação: 2014
Outros Autores: Manconi, E., Tang, B., Lopes, V. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/169102
Resumo: The way in which a nonlinear spring affects the reflection coefficients at the end of a rod and a beam is investigated in this paper. The specific type of nonlinearity considered is of the hardening and softening Duffing-type, which has both linear and cubic stiffness. The magnitudes and the phases of the reflection coefficients for longitudinal and flexural waves are determined. This is achieved by using the harmonic balance approach and the results are verified by comparing the incoming and the outgoing power from the boundary. It is shown that the main effect of the nonlinearity is to change the phase, except in the case of an incident evanescent wave when there is also a jump in the magnitude of the reflection coefficient. In addition, when the nonlinearity is of the softening type, a jump phenomenon occurs in the reflection coefficients.
id UNSP_b78add0968ea006c64449a0e46c0bfe3
oai_identifier_str oai:repositorio.unesp.br:11449/169102
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Wave reflection at the end of a waveguide supported by a nonlinear springNonlinear stiffness boundaryWave motionThe way in which a nonlinear spring affects the reflection coefficients at the end of a rod and a beam is investigated in this paper. The specific type of nonlinearity considered is of the hardening and softening Duffing-type, which has both linear and cubic stiffness. The magnitudes and the phases of the reflection coefficients for longitudinal and flexural waves are determined. This is achieved by using the harmonic balance approach and the results are verified by comparing the incoming and the outgoing power from the boundary. It is shown that the main effect of the nonlinearity is to change the phase, except in the case of an incident evanescent wave when there is also a jump in the magnitude of the reflection coefficient. In addition, when the nonlinearity is of the softening type, a jump phenomenon occurs in the reflection coefficients.Department of Mechanical Eng. UNESPDepartment of Industrial Eng. University of ParmaInstitute of Internal Combustion Engine Dalian University of TechnologyDepartment of Mechanical Eng. UNESPUniversidade Estadual Paulista (Unesp)University of ParmaDalian University of TechnologyBrennan, M. J. [UNESP]Manconi, E.Tang, B.Lopes, V. [UNESP]2018-12-11T16:44:29Z2018-12-11T16:44:29Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject2019-2025Proceedings of the International Conference on Structural Dynamic , EURODYN, v. 2014-January, p. 2019-2025.2311-9020http://hdl.handle.net/11449/1691022-s2.0-84994418124Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the International Conference on Structural Dynamic , EURODYN0,165info:eu-repo/semantics/openAccess2021-10-23T21:44:29Zoai:repositorio.unesp.br:11449/169102Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:11:36.078080Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Wave reflection at the end of a waveguide supported by a nonlinear spring
title Wave reflection at the end of a waveguide supported by a nonlinear spring
spellingShingle Wave reflection at the end of a waveguide supported by a nonlinear spring
Brennan, M. J. [UNESP]
Nonlinear stiffness boundary
Wave motion
title_short Wave reflection at the end of a waveguide supported by a nonlinear spring
title_full Wave reflection at the end of a waveguide supported by a nonlinear spring
title_fullStr Wave reflection at the end of a waveguide supported by a nonlinear spring
title_full_unstemmed Wave reflection at the end of a waveguide supported by a nonlinear spring
title_sort Wave reflection at the end of a waveguide supported by a nonlinear spring
author Brennan, M. J. [UNESP]
author_facet Brennan, M. J. [UNESP]
Manconi, E.
Tang, B.
Lopes, V. [UNESP]
author_role author
author2 Manconi, E.
Tang, B.
Lopes, V. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
University of Parma
Dalian University of Technology
dc.contributor.author.fl_str_mv Brennan, M. J. [UNESP]
Manconi, E.
Tang, B.
Lopes, V. [UNESP]
dc.subject.por.fl_str_mv Nonlinear stiffness boundary
Wave motion
topic Nonlinear stiffness boundary
Wave motion
description The way in which a nonlinear spring affects the reflection coefficients at the end of a rod and a beam is investigated in this paper. The specific type of nonlinearity considered is of the hardening and softening Duffing-type, which has both linear and cubic stiffness. The magnitudes and the phases of the reflection coefficients for longitudinal and flexural waves are determined. This is achieved by using the harmonic balance approach and the results are verified by comparing the incoming and the outgoing power from the boundary. It is shown that the main effect of the nonlinearity is to change the phase, except in the case of an incident evanescent wave when there is also a jump in the magnitude of the reflection coefficient. In addition, when the nonlinearity is of the softening type, a jump phenomenon occurs in the reflection coefficients.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01
2018-12-11T16:44:29Z
2018-12-11T16:44:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv Proceedings of the International Conference on Structural Dynamic , EURODYN, v. 2014-January, p. 2019-2025.
2311-9020
http://hdl.handle.net/11449/169102
2-s2.0-84994418124
identifier_str_mv Proceedings of the International Conference on Structural Dynamic , EURODYN, v. 2014-January, p. 2019-2025.
2311-9020
2-s2.0-84994418124
url http://hdl.handle.net/11449/169102
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the International Conference on Structural Dynamic , EURODYN
0,165
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2019-2025
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129593432866816

Registros relacionados