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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 higher than 3% for high frequencies (≥ 4 mode).
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 higher than 3% for high frequencies (≥ 4 mode).
Non-uniform Euler-Bernoulli beams’ natural frequencies
Hugo Aya (author) / Ricardo Cano (author) / Petr Zhevandrov (author)
2011
Article (Journal)
Electronic Resource
Unknown
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