The influence of mass on dynamic response of cracked Timoshenko beam with restrained end conditions: the truncated theory
- Autores
- De Rosa, María Anna; Ceraldi, Carla; Martín, Héctor Daniel; Onorato, Antonella; Piovan, Marcelo Tulio; Lippiello, María
- Año de publicación
- 2025
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- n 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 its position 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, María Anna. Università degli Studi della Basilicata, Italia.
Fil: Ceraldi, Carla. Università degli Studi di Napoli Federico II, Italia.
Fil: Martín, Héctor Daniel. Universidad Tecnológica Nacional, Facultad Regional Reconquista, Grupo de Diseño Mecánico, Argentina.
Fil: Onoratto, Antonella. Università degli Studi della Basilicata, Italia.
Fil: Piován, Marcelo Tulio. Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca, Argentina.
Fil: Lipiello, María. Università degli Studi di Napoli Federico II, Italia. - Materia
-
truncated Timoshenko theory
restrained end conditions
crack
mass
vibration - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- Attribution-NonCommercial-NoDerivs 2.5 Argentina
- Repositorio
.jpg)
- Institución
- Universidad Tecnológica Nacional
- OAI Identificador
- oai:ria.utn.edu.ar:20.500.12272/12153
Ver los metadatos del registro completo
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The influence of mass on dynamic response of cracked Timoshenko beam with restrained end conditions: the truncated theoryDe Rosa, María AnnaCeraldi, CarlaMartín, Héctor DanielOnorato, AntonellaPiovan, Marcelo TulioLippiello, Maríatruncated Timoshenko theoryrestrained end conditionscrackmassvibrationn 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 its position 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, María Anna. Università degli Studi della Basilicata, Italia.Fil: Ceraldi, Carla. Università degli Studi di Napoli Federico II, Italia.Fil: Martín, Héctor Daniel. Universidad Tecnológica Nacional, Facultad Regional Reconquista, Grupo de Diseño Mecánico, Argentina.Fil: Onoratto, Antonella. Università degli Studi della Basilicata, Italia.Fil: Piován, Marcelo Tulio. Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca, Argentina.Fil: Lipiello, María. Università degli Studi di Napoli Federico II, Italia.MDPI - Publisher of Open Access Journals2025-02-12T21:00:13Z2025-02-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articulopdfapplication/pdfhttp://hdl.handle.net/20.500.12272/12153https://doi.org/10.3390/applmech6010011enginfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 2.5 Argentinahttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/María Anna De Rosa, Carla Ceraldi, Héctor D. Martín, Antonella Onorato, Marcelo Tulio, Maria LippielloLicencia Creative Commons / CC BY-NC (Autoría – No Comercial)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacional2026-09-24T12:47:10Zoai:ria.utn.edu.ar:20.500.12272/12153instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:47:12.018Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse |
| 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, María Anna truncated Timoshenko theory restrained end conditions crack mass vibration |
| 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, María Anna Ceraldi, Carla Martín, Héctor Daniel Onorato, Antonella Piovan, Marcelo Tulio Lippiello, María |
| author |
De Rosa, María Anna |
| author_facet |
De Rosa, María Anna Ceraldi, Carla Martín, Héctor Daniel Onorato, Antonella Piovan, Marcelo Tulio Lippiello, María |
| author_role |
author |
| author2 |
Ceraldi, Carla Martín, Héctor Daniel Onorato, Antonella Piovan, Marcelo Tulio Lippiello, María |
| author2_role |
author author author author author |
| dc.subject.none.fl_str_mv |
truncated Timoshenko theory restrained end conditions crack mass vibration |
| topic |
truncated Timoshenko theory restrained end conditions crack mass vibration |
| dc.description.none.fl_txt_mv |
n 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 its position 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, María Anna. Università degli Studi della Basilicata, Italia. Fil: Ceraldi, Carla. Università degli Studi di Napoli Federico II, Italia. Fil: Martín, Héctor Daniel. Universidad Tecnológica Nacional, Facultad Regional Reconquista, Grupo de Diseño Mecánico, Argentina. Fil: Onoratto, Antonella. Università degli Studi della Basilicata, Italia. Fil: Piován, Marcelo Tulio. Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca, Argentina. Fil: Lipiello, María. Università degli Studi di Napoli Federico II, Italia. |
| description |
n 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 its position 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 |
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2025-02-12T21:00:13Z 2025-02-07 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/20.500.12272/12153 https://doi.org/10.3390/applmech6010011 |
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http://hdl.handle.net/20.500.12272/12153 https://doi.org/10.3390/applmech6010011 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivs 2.5 Argentina http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ María Anna De Rosa, Carla Ceraldi, Héctor D. Martín, Antonella Onorato, Marcelo Tulio, Maria Lippiello Licencia Creative Commons / CC BY-NC (Autoría – No Comercial) |
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openAccess |
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Attribution-NonCommercial-NoDerivs 2.5 Argentina http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ María Anna De Rosa, Carla Ceraldi, Héctor D. Martín, Antonella Onorato, Marcelo Tulio, Maria Lippiello Licencia Creative Commons / CC BY-NC (Autoría – No Comercial) |
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pdf application/pdf |
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MDPI - Publisher of Open Access Journals |
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MDPI - Publisher of Open Access Journals |
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reponame:Repositorio Institucional Abierto (UTN) instname:Universidad Tecnológica Nacional |
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Universidad Tecnológica Nacional |
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Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional |
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gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar |
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