FREE-VIBRATION OF CYLINDRICAL-SHELLS FILLED WITH LIQUID

A theoretical analysis for the free vibration of vertical simply suppo rted 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 e quations into algebraic equations in order to obtain the natural frequ encies and corresponding modes. The method shows its great advantage i n saving of computing time. The results are compared with those availa ble in the literature and excellent agreement is found between them.