Abstract

AYA B, Hugo; CANO M, Ricardo  and  ZHEVANDROV B, Petr. Non-uniform Euler-Bernoulli beams´ natural frequencies. Ing. Investig. [online]. 2011, vol.31, n.1, pp.7-15. ISSN 0120-5609.

This paper has studied the problem of natural frequencies for Euler-Bernoulli beams having non-uniform crosssection. 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).

Keywords : Euler-Bernoulli beam; WKB method.

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