This paper presents a procedure to analyze the free and forced liquid sloshing motions in an axisymmetric tank of arbitrary shape at low-gravity environments. The free-vibration problem is solved by extending the analysis of Satterlee and Reynolds for a circular cylindrical tank with a flat bottom. The forced-motion problem is solved by first expanding the velocity potential, the interface wave height, and the forcing functions in terms of the normal mode shapes obtained in the free-vibration analysis. The solutions hold for any arbitrary horizontal translational motion of the tank.
Free and Forced Oscillations of a Liquid in an Axisymmetric Tank at Low-Gravity Environments
Gordon C. K. Yeh
TRW Systems, Redondo Beach, Calif.
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Yeh, G. C. K. (March 1, 1967). "Free and Forced Oscillations of a Liquid in an Axisymmetric Tank at Low-Gravity Environments." ASME. J. Appl. Mech. March 1967; 34(1): 23–28. https://doi.org/10.1115/1.3607644
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