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
| Summary: | 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). |
|---|