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In this paper, we address the numerical investigation on the effect of liquid compresibilityonto the natural frequency of liquid-filled containers. Traditionally the liquid motion has been treated asan ideal fluid motion. However, from the numerical experiments for the axisymmetrical free-vibration ofcylindrical liquid-storage tanks, we found that the relative difference in natural frequencies between idealand compressible motions becomes remarkable, as the slenderness of tank or the relative liquid-fil heightbecomes larger. Therefore, in such cases of dynamic systems, the liquid compressibility becomes animportant parameter, for the accurate vibration analysis. For the free-vibration analysis of compressibleliquid-structure interaction we employed the coupled finite element formulation expressed in terms of theacoustic wave pressure and the structure deformation.