Breathing Vibrations of a Partially Filled Cylindrical Tank—Linear Theory

[+] Author and Article Information
Wen-Hwa Chu

Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas

J. Appl. Mech 30(4), 532-536 (Dec 01, 1963) (5 pages) doi:10.1115/1.3636614 History: Received November 09, 1962; Online September 16, 2011


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.

Copyright © 1963 by ASME
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