Exact general solutions for the mode shapes of longitudinally vibrating non-uniform rods via Lie symmetries

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorNunes, Afonso Willian-
Autor(es): dc.creatorSilva, Samuel da-
Autor(es): dc.creatorRuiz, Adrián-
Data de aceite: dc.date.accessioned2025-08-21T22:45:52Z-
Data de disponibilização: dc.date.available2025-08-21T22:45:52Z-
Data de envio: dc.date.issued2023-02-01-
Data de envio: dc.date.issued2023-02-01-
Data de envio: dc.date.issued2022-11-09-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/239255-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/239255-
Descrição: dc.descriptionA Lie symmetry method-based approach is proposed for systematically computing general solutions in closed-form for the mode shape equation of non-uniform and unconventional vibrating rods. The mode shape equation is modeled by the elementary rod theory, addressing polynomial, exponential, trigonometric, and hyperbolic cross-section variations. The method provides algorithmic order-reduction steps for solving the investigated mode shape equation, producing a first-order Riccati equation whose integration reveals the aimed solutions for the problem. Illustrative examples are presented, including original solutions in closed-form as well as solutions previously obtained in the literature by other approaches. Mode shapes from general solutions with appropriate rod boundary conditions are also considered for different examples.-
Descrição: dc.descriptionOutra-
Descrição: dc.descriptionPreprint-
Descrição: dc.descriptionUniversidade Estadual Paulista (UNESP)-
Descrição: dc.descriptionUniversidad de Cádiz-
Descrição: dc.description131846/2020-5-
Descrição: dc.description306526/2019-0-
Descrição: dc.description404463/2016-9-
Descrição: dc.description21/12894-2-
Descrição: dc.description16/22473-6-
Descrição: dc.descriptionPGC2018-101514-B-I00-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Relação: dc.relationJournal of Sound and Vibration-
Direitos: dc.rightsinfo:eu-repo/semantics/openAccess-
Palavras-chave: dc.subjectGeneral solutions-
Palavras-chave: dc.subjectNon-uniform rods-
Palavras-chave: dc.subjectMode shapes-
Palavras-chave: dc.subjectElementary rod theory-
Palavras-chave: dc.subjectLie symmetries-
Título: dc.titleExact general solutions for the mode shapes of longitudinally vibrating non-uniform rods via Lie symmetries-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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