ANALYTICAL AND EXPERIMENTAL INVESTIGATION OF FORCESnAND FREQUENCIES RESULTING FROM LIQUID SLOSHING IN A SPHERICAL TANK

摘要

An analytical and experimental study was conducted to determine the natural frequencies and forces of liquid oscillations in a spherical tank. An integral-equation approach was used to study the oscillations and the natural modes of sloshing in the nearly full to nearly empty tank. The results of the theoretical calculations are in good agreement with the experimentally determined slosh forces except at frequencies very close to the natural modes and are in excellent agreement with the experimental frequencies for various liquid depths.