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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
2011-01-01
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| Series: | Ingeniería e Investigación |
| Subjects: | |
| Online Access: | https://revistas.unal.edu.co/index.php/ingeinv/article/view/20514 |
| 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). |
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| ISSN: | 0120-5609 2248-8723 |