The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory

Autores
De Rosa, Maria Anna; Ceraldi, Carla; Martin, Hector D.; Onorato, Antonella; Piovan, Marcelo Tulio; Lippiello, Maria
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory, truncated Timoshenko theory(TTT),the governing equations of motion of the cracked beam are derived and the influence of a mass on the behavior of free vibrations is investigated. The novelty of the proposed approach lies in the fact that the variational method used in the truncated theory simplifies the derivation of the equation of motion via the classical theory, and the perfect analogy between the two theories is shown. The objective of the present formulation lies in finding the equations of the truncated Timoshenko model with their corresponding boundary conditions and establishing their mathematical similarity with the geometric approach. It is shown that the differential equations with their corresponding boundary conditions, used to solve the dynamic problem of Timoshenko truncated beams through variational formulations, have the same form as those obtained through the direct method.Finally, some numerical examples are carried out to evaluate the influence of a mass and itsposition on the vibration performances of the cracked Timoshenko model. Additionally, the effects of the crack positions, the shear deformation and rotational inertia, and the yielding constraints on the natural frequencies are also discussed in some numerical examples.
Fil: De Rosa, Maria Anna. Università Degli Studi Della Basilicata; Italia
Fil: Ceraldi, Carla. Università degli Studi di Napoli Federico II; Italia
Fil: Martin, Hector D.. Universidad Tecnológica Nacional. Facultad Regional Reconquista; Argentina
Fil: Onorato, Antonella. Università Degli Studi Della Basilicata; Italia
Fil: Piovan, Marcelo Tulio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina
Fil: Lippiello, Maria. Università degli Studi di Napoli Federico II; Italia
Materia
Truncated Timoshenko theory
Restrained end conditions
Vibration
Cracks
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/288805
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated TheoryDe Rosa, Maria AnnaCeraldi, CarlaMartin, Hector D.Onorato, AntonellaPiovan, Marcelo TulioLippiello, MariaTruncated Timoshenko theoryRestrained end conditionsVibrationCrackshttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory, truncated Timoshenko theory(TTT),the governing equations of motion of the cracked beam are derived and the influence of a mass on the behavior of free vibrations is investigated. The novelty of the proposed approach lies in the fact that the variational method used in the truncated theory simplifies the derivation of the equation of motion via the classical theory, and the perfect analogy between the two theories is shown. The objective of the present formulation lies in finding the equations of the truncated Timoshenko model with their corresponding boundary conditions and establishing their mathematical similarity with the geometric approach. It is shown that the differential equations with their corresponding boundary conditions, used to solve the dynamic problem of Timoshenko truncated beams through variational formulations, have the same form as those obtained through the direct method.Finally, some numerical examples are carried out to evaluate the influence of a mass and itsposition on the vibration performances of the cracked Timoshenko model. Additionally, the effects of the crack positions, the shear deformation and rotational inertia, and the yielding constraints on the natural frequencies are also discussed in some numerical examples.Fil: De Rosa, Maria Anna. Università Degli Studi Della Basilicata; ItaliaFil: Ceraldi, Carla. Università degli Studi di Napoli Federico II; ItaliaFil: Martin, Hector D.. Universidad Tecnológica Nacional. Facultad Regional Reconquista; ArgentinaFil: Onorato, Antonella. Università Degli Studi Della Basilicata; ItaliaFil: Piovan, Marcelo Tulio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; ArgentinaFil: Lippiello, Maria. Università degli Studi di Napoli Federico II; ItaliaMultidisciplinary Digital Publishing Institute2025-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/288805De Rosa, Maria Anna; Ceraldi, Carla; Martin, Hector D.; Onorato, Antonella; Piovan, Marcelo Tulio; et al.; The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory; Multidisciplinary Digital Publishing Institute; Applied Mechanics; 6; 1; 2-2025; 1-132673-3161CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2673-3161/6/1/11info:eu-repo/semantics/altIdentifier/doi/10.3390/applmech6010011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:35:32Zoai:ri.conicet.gov.ar:11336/288805instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 14:35:32.698CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
title The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
spellingShingle The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
De Rosa, Maria Anna
Truncated Timoshenko theory
Restrained end conditions
Vibration
Cracks
title_short The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
title_full The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
title_fullStr The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
title_full_unstemmed The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
title_sort The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory
dc.creator.none.fl_str_mv De Rosa, Maria Anna
Ceraldi, Carla
Martin, Hector D.
Onorato, Antonella
Piovan, Marcelo Tulio
Lippiello, Maria
author De Rosa, Maria Anna
author_facet De Rosa, Maria Anna
Ceraldi, Carla
Martin, Hector D.
Onorato, Antonella
Piovan, Marcelo Tulio
Lippiello, Maria
author_role author
author2 Ceraldi, Carla
Martin, Hector D.
Onorato, Antonella
Piovan, Marcelo Tulio
Lippiello, Maria
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Truncated Timoshenko theory
Restrained end conditions
Vibration
Cracks
topic Truncated Timoshenko theory
Restrained end conditions
Vibration
Cracks
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory, truncated Timoshenko theory(TTT),the governing equations of motion of the cracked beam are derived and the influence of a mass on the behavior of free vibrations is investigated. The novelty of the proposed approach lies in the fact that the variational method used in the truncated theory simplifies the derivation of the equation of motion via the classical theory, and the perfect analogy between the two theories is shown. The objective of the present formulation lies in finding the equations of the truncated Timoshenko model with their corresponding boundary conditions and establishing their mathematical similarity with the geometric approach. It is shown that the differential equations with their corresponding boundary conditions, used to solve the dynamic problem of Timoshenko truncated beams through variational formulations, have the same form as those obtained through the direct method.Finally, some numerical examples are carried out to evaluate the influence of a mass and itsposition on the vibration performances of the cracked Timoshenko model. Additionally, the effects of the crack positions, the shear deformation and rotational inertia, and the yielding constraints on the natural frequencies are also discussed in some numerical examples.
Fil: De Rosa, Maria Anna. Università Degli Studi Della Basilicata; Italia
Fil: Ceraldi, Carla. Università degli Studi di Napoli Federico II; Italia
Fil: Martin, Hector D.. Universidad Tecnológica Nacional. Facultad Regional Reconquista; Argentina
Fil: Onorato, Antonella. Università Degli Studi Della Basilicata; Italia
Fil: Piovan, Marcelo Tulio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina
Fil: Lippiello, Maria. Università degli Studi di Napoli Federico II; Italia
description In this paper, the dynamic response of the Timoshenko cracked beam subjected to a mass is investigated. In turn, it is assumed that the beam has its ends restrained with both transverse and rotational elastic springs. Based on an alternative beam theory, truncated Timoshenko theory(TTT),the governing equations of motion of the cracked beam are derived and the influence of a mass on the behavior of free vibrations is investigated. The novelty of the proposed approach lies in the fact that the variational method used in the truncated theory simplifies the derivation of the equation of motion via the classical theory, and the perfect analogy between the two theories is shown. The objective of the present formulation lies in finding the equations of the truncated Timoshenko model with their corresponding boundary conditions and establishing their mathematical similarity with the geometric approach. It is shown that the differential equations with their corresponding boundary conditions, used to solve the dynamic problem of Timoshenko truncated beams through variational formulations, have the same form as those obtained through the direct method.Finally, some numerical examples are carried out to evaluate the influence of a mass and itsposition on the vibration performances of the cracked Timoshenko model. Additionally, the effects of the crack positions, the shear deformation and rotational inertia, and the yielding constraints on the natural frequencies are also discussed in some numerical examples.
publishDate 2025
dc.date.none.fl_str_mv 2025-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/288805
De Rosa, Maria Anna; Ceraldi, Carla; Martin, Hector D.; Onorato, Antonella; Piovan, Marcelo Tulio; et al.; The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory; Multidisciplinary Digital Publishing Institute; Applied Mechanics; 6; 1; 2-2025; 1-13
2673-3161
CONICET Digital
CONICET
url http://hdl.handle.net/11336/288805
identifier_str_mv De Rosa, Maria Anna; Ceraldi, Carla; Martin, Hector D.; Onorato, Antonella; Piovan, Marcelo Tulio; et al.; The Influence of Mass on Dynamic Response of Cracked Timoshenko Beam with Restrained End Conditions: The Truncated Theory; Multidisciplinary Digital Publishing Institute; Applied Mechanics; 6; 1; 2-2025; 1-13
2673-3161
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2673-3161/6/1/11
info:eu-repo/semantics/altIdentifier/doi/10.3390/applmech6010011
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.265058

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