SLOSHING OF LIQUIDS IN CYLINDRICAL TANKS OF ELLIPTIC CROSS-SECTION.
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Abstract : An analysis is made of the sloshing of liquids in partiallyfilled rigid cylindrical tanks of elliptic cross-section. By application of potential theory, the forces and moments acting on the tank are determined for the case of translational and rotational excitation along or about the major and minor axes of the cross-section, and expressions for the resonant frequencies are found in terms of the roots of the derivatives of modified Mathieu functions. The lowest few resonant frequency parameters, as computed from those expressions, are compared with those of a circular cylinder having the same cross-sectional area. (Author)