Non-uniform euler-bernoulli beams’ natural frequencies
This paper has studied the problem of natural frequencies for Euler-Bernoulli beams having non-uniform cross-section. The numerically-obtained solutions were compared to asymptotic solutions obtained by the Wentzel-Kramers-Brillouin (WKB) method. It was established that WKB formula precision was hig...
- Autores:
-
Aya, Hugo
Cano, Ricardo
Zhevandrov, Petr
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2011
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/33466
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/33466
http://bdigital.unal.edu.co/23546/
http://bdigital.unal.edu.co/23546/2/
http://bdigital.unal.edu.co/23546/3/
- Palabra clave:
- viga Euler-Bernoulli
método WKB.
Euler-Bernoulli beam
WKB method.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Aya, Hugo03cf75aa-48df-4af1-a264-c4bd5665af4c300Cano, Ricardocb88ef7b-e07c-429d-9fa4-7d5191747e26300Zhevandrov, Petraa992f07-a2f1-46cc-87b5-3d174688beb13002019-06-27T22:57:42Z2019-06-27T22:57:42Z2011https://repositorio.unal.edu.co/handle/unal/33466http://bdigital.unal.edu.co/23546/http://bdigital.unal.edu.co/23546/2/http://bdigital.unal.edu.co/23546/3/This paper has studied the problem of natural frequencies for Euler-Bernoulli beams having non-uniform cross-section. The numerically-obtained solutions were compared to asymptotic solutions obtained by the Wentzel-Kramers-Brillouin (WKB) method. It was established that WKB formula precision was higher than 3% for high frequencies (≥ 4 mode).En el presente trabajo se estudia el problema de frecuencias propias de la viga Euler-Bernoulli de sección no uniforme; se comparan las soluciones del problema obtenidas numéricamente con la solución asintótica lograda mediante el método Wentzel-Kramers-Brillouin (WKB). Se establece que la precisión de las fórmulas WKB es mayor del 3% para frecuencias altas (número de modo ≥ 4).application/pdfspaUniversidad Nacional de Colombia - Facultad de Ingenieríahttp://revistas.unal.edu.co/index.php/ingeinv/article/view/20514Universidad Nacional de Colombia Revistas electrónicas UN Ingeniería e InvestigaciónIngeniería e InvestigaciónIngeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 2248-8723 0120-5609Aya, Hugo and Cano, Ricardo and Zhevandrov, Petr (2011) Non-uniform euler-bernoulli beams’ natural frequencies. Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 2248-8723 0120-5609 .Non-uniform euler-bernoulli beams’ natural frequenciesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTviga Euler-Bernoullimétodo WKB.Euler-Bernoulli beamWKB method.ORIGINAL20514-69286-1-PB.pdfapplication/pdf695064https://repositorio.unal.edu.co/bitstream/unal/33466/1/20514-69286-1-PB.pdfb3a94a64418c6e6d5d415e45ebf5a4fbMD51THUMBNAIL20514-69286-1-PB.pdf.jpg20514-69286-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg8956https://repositorio.unal.edu.co/bitstream/unal/33466/2/20514-69286-1-PB.pdf.jpgee0187941b475caf174c91d86db21887MD52unal/33466oai:repositorio.unal.edu.co:unal/334662023-12-22 23:05:28.113Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Non-uniform euler-bernoulli beams’ natural frequencies |
| title |
Non-uniform euler-bernoulli beams’ natural frequencies |
| spellingShingle |
Non-uniform euler-bernoulli beams’ natural frequencies viga Euler-Bernoulli método WKB. Euler-Bernoulli beam WKB method. |
| title_short |
Non-uniform euler-bernoulli beams’ natural frequencies |
| title_full |
Non-uniform euler-bernoulli beams’ natural frequencies |
| title_fullStr |
Non-uniform euler-bernoulli beams’ natural frequencies |
| title_full_unstemmed |
Non-uniform euler-bernoulli beams’ natural frequencies |
| title_sort |
Non-uniform euler-bernoulli beams’ natural frequencies |
| dc.creator.fl_str_mv |
Aya, Hugo Cano, Ricardo Zhevandrov, Petr |
| dc.contributor.author.spa.fl_str_mv |
Aya, Hugo Cano, Ricardo Zhevandrov, Petr |
| dc.subject.proposal.spa.fl_str_mv |
viga Euler-Bernoulli método WKB. Euler-Bernoulli beam WKB method. |
| topic |
viga Euler-Bernoulli método WKB. Euler-Bernoulli beam WKB method. |
| description |
This paper has studied the problem of natural frequencies for Euler-Bernoulli beams having non-uniform cross-section. The numerically-obtained solutions were compared to asymptotic solutions obtained by the Wentzel-Kramers-Brillouin (WKB) method. It was established that WKB formula precision was higher than 3% for high frequencies (≥ 4 mode). |
| publishDate |
2011 |
| dc.date.issued.spa.fl_str_mv |
2011 |
| dc.date.accessioned.spa.fl_str_mv |
2019-06-27T22:57:42Z |
| dc.date.available.spa.fl_str_mv |
2019-06-27T22:57:42Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/33466 |
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http://bdigital.unal.edu.co/23546/ http://bdigital.unal.edu.co/23546/2/ http://bdigital.unal.edu.co/23546/3/ |
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https://repositorio.unal.edu.co/handle/unal/33466 http://bdigital.unal.edu.co/23546/ http://bdigital.unal.edu.co/23546/2/ http://bdigital.unal.edu.co/23546/3/ |
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spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/ingeinv/article/view/20514 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Ingeniería e Investigación Ingeniería e Investigación |
| dc.relation.ispartofseries.none.fl_str_mv |
Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 2248-8723 0120-5609 |
| dc.relation.references.spa.fl_str_mv |
Aya, Hugo and Cano, Ricardo and Zhevandrov, Petr (2011) Non-uniform euler-bernoulli beams’ natural frequencies. Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 Ingeniería e Investigación; Vol. 31, núm. 1 (2011); 7-15 2248-8723 0120-5609 . |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
| dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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Universidad Nacional de Colombia - Facultad de Ingeniería |
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