Abstract
This paper presents an analytical method for evaluating the linear free vibration of a circular cylindrical shell filled with bounded compressible fluid. The analytical method was developed by means of the finite Fourier series expansion method. The motion of compressible fluid coupled with the shell was determined by means of the linearized velocity potential flow theory. To clarify the validity of the analytical method, the coupled natural frequencies of a water-filled circular cylindrical shell with a clamped–clamped boundary condition were obtained by the analytical method and finite element analysis. Excellent agreement on the natural frequencies of the liquid-coupled shell structure was found. The results show that the natural frequencies decrease with an increase in fluid compressibility. However, the compressibility effect on the lower circumferential mode frequencies was found to be relatively significant. Additionally, it was found that the rigid bounding of fluid at the ends of the shell decreases the natural frequencies for the lower circumferential modes when compared with the sloshing fluid case.
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