Transverse vibrations of circular solid and annular plates of generalized anisotropy
- Autores
- Bambill, Diana Virginia; Laura, Patricio Adolfo Antonio; Rossit, Carlos Adolfo
- Año de publicación
- 2002
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The classical theory of vibrating circular plates has been successfully implemented in the case of isotropic, orthotropic and circularly anisotropic continuous media. This is not the case when dealing with circular plates of generalized anisotropy when an approximate analytical solution is sought since the classical approach for constructing co-ordinate functions fails to behave properly in view of the fact that inevitably some of the components of the energy integral functional cancel out. On the other hand, exact, analytical solutions appear to be out of the question. Specially constructed co-ordinate functions are presented in this paper and they allow for the solution of some basic problems accomplished in the present investigation: vibrating clamped and simply supported solid circular plates, and the case of annular plates with a free inner edge using the co-ordinate functions employed in the case of simply connected plates.
Fil: Bambill, Diana Virginia. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Laura, Patricio Adolfo Antonio. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/38231
Ver los metadatos del registro completo
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Transverse vibrations of circular solid and annular plates of generalized anisotropyBambill, Diana VirginiaLaura, Patricio Adolfo AntonioRossit, Carlos Adolfohttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The classical theory of vibrating circular plates has been successfully implemented in the case of isotropic, orthotropic and circularly anisotropic continuous media. This is not the case when dealing with circular plates of generalized anisotropy when an approximate analytical solution is sought since the classical approach for constructing co-ordinate functions fails to behave properly in view of the fact that inevitably some of the components of the energy integral functional cancel out. On the other hand, exact, analytical solutions appear to be out of the question. Specially constructed co-ordinate functions are presented in this paper and they allow for the solution of some basic problems accomplished in the present investigation: vibrating clamped and simply supported solid circular plates, and the case of annular plates with a free inner edge using the co-ordinate functions employed in the case of simply connected plates.Fil: Bambill, Diana Virginia. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Laura, Patricio Adolfo Antonio. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Ltd - Elsevier Science Ltd2002-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/38231Bambill, Diana Virginia; Laura, Patricio Adolfo Antonio; Rossit, Carlos Adolfo; Transverse vibrations of circular solid and annular plates of generalized anisotropy; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 254; 3; 7-2002; 613-6190022-460XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1006/jsvi.2001.4077info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X01940775info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:27:26Zoai:ri.conicet.gov.ar:11336/38231instacron: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:34982025-09-29 10:27:26.47CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| title |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| spellingShingle |
Transverse vibrations of circular solid and annular plates of generalized anisotropy Bambill, Diana Virginia |
| title_short |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| title_full |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| title_fullStr |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| title_full_unstemmed |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| title_sort |
Transverse vibrations of circular solid and annular plates of generalized anisotropy |
| dc.creator.none.fl_str_mv |
Bambill, Diana Virginia Laura, Patricio Adolfo Antonio Rossit, Carlos Adolfo |
| author |
Bambill, Diana Virginia |
| author_facet |
Bambill, Diana Virginia Laura, Patricio Adolfo Antonio Rossit, Carlos Adolfo |
| author_role |
author |
| author2 |
Laura, Patricio Adolfo Antonio Rossit, Carlos Adolfo |
| author2_role |
author author |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
The classical theory of vibrating circular plates has been successfully implemented in the case of isotropic, orthotropic and circularly anisotropic continuous media. This is not the case when dealing with circular plates of generalized anisotropy when an approximate analytical solution is sought since the classical approach for constructing co-ordinate functions fails to behave properly in view of the fact that inevitably some of the components of the energy integral functional cancel out. On the other hand, exact, analytical solutions appear to be out of the question. Specially constructed co-ordinate functions are presented in this paper and they allow for the solution of some basic problems accomplished in the present investigation: vibrating clamped and simply supported solid circular plates, and the case of annular plates with a free inner edge using the co-ordinate functions employed in the case of simply connected plates. Fil: Bambill, Diana Virginia. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Laura, Patricio Adolfo Antonio. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Rossit, Carlos Adolfo. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
| description |
The classical theory of vibrating circular plates has been successfully implemented in the case of isotropic, orthotropic and circularly anisotropic continuous media. This is not the case when dealing with circular plates of generalized anisotropy when an approximate analytical solution is sought since the classical approach for constructing co-ordinate functions fails to behave properly in view of the fact that inevitably some of the components of the energy integral functional cancel out. On the other hand, exact, analytical solutions appear to be out of the question. Specially constructed co-ordinate functions are presented in this paper and they allow for the solution of some basic problems accomplished in the present investigation: vibrating clamped and simply supported solid circular plates, and the case of annular plates with a free inner edge using the co-ordinate functions employed in the case of simply connected plates. |
| publishDate |
2002 |
| dc.date.none.fl_str_mv |
2002-07 |
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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/11336/38231 Bambill, Diana Virginia; Laura, Patricio Adolfo Antonio; Rossit, Carlos Adolfo; Transverse vibrations of circular solid and annular plates of generalized anisotropy; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 254; 3; 7-2002; 613-619 0022-460X CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/38231 |
| identifier_str_mv |
Bambill, Diana Virginia; Laura, Patricio Adolfo Antonio; Rossit, Carlos Adolfo; Transverse vibrations of circular solid and annular plates of generalized anisotropy; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 254; 3; 7-2002; 613-619 0022-460X CONICET Digital CONICET |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/doi/10.1006/jsvi.2001.4077 info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022460X01940775 |
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Academic Press Ltd - Elsevier Science Ltd |
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