Exact expressions for numerical evaluation of high order modes of vibration in uniform Euler-Bernoulli beams

dc.contributor.authorGonçalves, Paulo J. Paupitz [UNESP]
dc.contributor.authorPeplow, Andrew
dc.contributor.authorBrennan, Michael J. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionZayed University
dc.date.accessioned2018-12-11T17:37:52Z
dc.date.available2018-12-11T17:37:52Z
dc.date.issued2018-12-01
dc.description.abstractIn the literature, expressions can be found for the mode shape functions of uniform Euler-Bernoulli beams. However, these expressions permit the evaluation of only the first 12 modes or so due to numerical issues associated with the evaluation of near field waves that increase exponentially with frequency. To overcome this problem, approximate expressions have been developed that avoid the evaluation of these waves. This article presents in tabular form alternative, exact expressions of beam mode shape functions that are numerically stable. These formulations have not been reported in the literature before and they are of special interest for researchers working in the area of structural acoustics and vibration. Beams with combinations of the classical boundary conditions of clamped, free, pinned, and sliding are considered.en
dc.description.affiliationSão Paulo State University – UNESP School of Engineering
dc.description.affiliationZayed University
dc.description.affiliationSão Paulo State University – UNESP School of Engineering, Ilha Solteira
dc.description.affiliationUnespSão Paulo State University – UNESP School of Engineering
dc.description.affiliationUnespSão Paulo State University – UNESP School of Engineering, Ilha Solteira
dc.format.extent371-373
dc.identifierhttp://dx.doi.org/10.1016/j.apacoust.2018.05.014
dc.identifier.citationApplied Acoustics, v. 141, p. 371-373.
dc.identifier.doi10.1016/j.apacoust.2018.05.014
dc.identifier.file2-s2.0-85050818335.pdf
dc.identifier.issn1872-910X
dc.identifier.issn0003-682X
dc.identifier.scopus2-s2.0-85050818335
dc.identifier.urihttp://hdl.handle.net/11449/180067
dc.language.isoeng
dc.relation.ispartofApplied Acoustics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleExact expressions for numerical evaluation of high order modes of vibration in uniform Euler-Bernoulli beamsen
dc.typeArtigo
unesp.departmentHistória - FCLASpt

Arquivos

Pacote Original

Agora exibindo 1 - 1 de 1
Carregando...
Imagem de Miniatura
Nome:
2-s2.0-85050818335.pdf
Tamanho:
307.09 KB
Formato:
Adobe Portable Document Format
Descrição: