Abstract
A theoretical analysis is presented for treating the free vibrations of submerged, ring-stiffened cylindrical shells with simply supported ends. The effects of the eccentric stiffeners are averaged over the thin-walled isotropic cylindrical shell. The energy method is utilized and the frequency equation is derived from Hamilton's Principle. All three degrees of freedom are considered. Numerical results are presented for the frequencies of several example shells. Comparisons with previous theoretical and experimental results indicate reasonably good agreement for shells immersed in water, but poorer agreement in vacuum. The inaccuracies are due to limitations of the Donnell type orthotropic shell theory used. The procedure appears well adapted to preliminary optimization studies of shells immersed in water under minimum natural frequency constraints and for optimal separation of the lower frequencies.
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