An accurate linear hydrodynamic theory (incompressible) is presented for breathing vibrations of a liquid column with an assumed mode shape. It yields the natural frequencies of liquid sloshing as well as the pressure distribution. A simplified frequency prediction for the partially filled cylindrical shell is derived from the Donnell-Yu equation with an apparent mass correction. Comparison with some available experiments show good agreement for breathing vibrations with the fundamental longitudinal mode.
Issue Section:
Research Papers
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Copyright © 1963
by ASME
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