A mathematical model is developed for sloshing effects in half-full horizontal cylindrical vessels, under external excitation in the direction of the longitudinal vessel axis. In this geometry the problem is not separable. The velocity potential is expressed in a double series form, and after some mathematical manipulation the problem results in a series of systems of ordinary linear differential equations, one for each longitudinal mode. For the particular case of harmonic motion, a semi-analytical solution is possible. Keeping only the first two terms of the expansion in the transverse direction, an elegant formulation of remarkable accuracy is obtained. Hydrodynamic pressures and forces are calculated for harmonic excitation and for a real seismic motion event. Finally, the equivalence between the half-full horizontal cylinder and an “equivalent” rectangle is demonstrated.
Sloshing Effects in Half-Full Horizontal Cylindrical Vessels Under Longitudinal Excitation
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Mar. 3, 2003; final revision, July 15, 2003. Associate Editor: D. A. Siginer. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Papaspyrou , S., Valougeorgis, D., and Karamanos, S. A. (May 5, 2004). "Sloshing Effects in Half-Full Horizontal Cylindrical Vessels Under Longitudinal Excitation ." ASME. J. Appl. Mech. March 2004; 71(2): 255–265. https://doi.org/10.1115/1.1668165
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