Abstract
Coaxial shells or cylinders containing fluid have been widely used as structural components in various applications. Several previous investigations have been performed to analyze the free vibration of fluid-filled, coaxial cylindrical shells. However, previous theories were limited to the approximated methods and could provide only the in-phase and out-of-phase modes of coaxial shells with small annular fluid gap compared to the shell diameters. Therefore, the previous theories can only be applicable to the low axial and circumferential modes of coaxial shells with small annular fluid gap. Practically, there exist many ambiguous vibrational modes in addition to the in-phase and out-of-phase modes. In this paper, an advanced general theory is developed which calculates the natural frequencies for all vibrational modes of two coaxial circular cylindrical shells coupled with fluid. To support the validity of the proposed theory, a finite element modal analysis was carried out for the clamped/clamped boundary condition. Excellent agreement was obtained between the analytical solution and the finite element analysis.
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