Abstract
A theoretical analysis for the free vibration of vertical simply supported cylindrical shells filled with ideal liquid has been investigated. The vibrations of the shell are examined by using the Donnell shell theory. The fluid is considered to be non-viscous and incompressible. The shell dynamic response function is obtained by applying Hamilton's principle. The Galerkin method is used to simplify the differential equations into algebraic equations in order to obtain the natural frequencies and corresponding modes. The method shows its great advantage in saving of computing time. The results are compared with those available in the literature and excellent agreement is found between them.
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