HYDROELASTIC VIBRATION OF A LIQUID-FILLED CIRCULAR CYLINDRICAL-SHELL

An analytical method for hydroelastic vibration of a partially liquid- filled cylindrical shell with arbitrary classical boundary conditions was developed by means of the finite; Fourier transform anti the Fouri er series expansion based on Sanders' shell theory. To demonstrate the validity and accuracy of the analytical method, the finite element an alyses were performed for partially liquid-filled circular cylindrical shell with clamped-free and with clamped-clamped boundary conditions. Evaluation of the results showed excellent agreement between the anal ytical method and the finite element analyses. In addition, it was fou nd that the variation of the normalized natural frequencies to the fil ling ratio depended on the axial mode number and circumferential wave number. The normalized natural frequency was defined as the natural fr equency of a specific vibrational mode of liquid-filled cylindrical sh ell divided by the natural frequency of the identical vibrational mode of empty cylindrical shell. The analytical results showed that the nu mber of transition plateaus of the normalized natural frequencies was identical to that of axial nodal points of the shell. (C) 1997 Elsevie r Science Ltd.