Natural frequencies of cylindrical shells and panels in vacuum and in a fluid

A unified formula for estimating the natural frequencies of circular cylindrical shells and panels in vacuum as well as in a fluid is presented. Boundary conditions considered include both simply supported and clamped. In the latter case, tables of constants are included to facilitate application of the formula. Extension of the method to estimate the frequencies of a system of cylindrical shells coupled by fluid gaps is also discussed. The methodology is particularly suitable for digital computer implementation.