Sloshing Effects in Half-Full Horizontal Cylindrical Vessels Under Longitudinal Excitation

[+] Author and Article Information
S. Papaspyrou, D. Valougeorgis, S. A. Karamanos

Department of Mechanical and Industrial Engineering, University of Thessaly, Volos 38334, Greece

J. Appl. Mech 71(2), 255-265 (May 05, 2004) (11 pages) doi:10.1115/1.1668165 History: Received March 03, 2003; Revised July 15, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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Currie, I. G., 1974, Fundamentals Mechanics of Fluids, McGraw-Hill, New York, Chap. 6.
Miles, J. W., 1956, “On the Sloshing of Liquid in a Cylindrical Tank,” Report No. AM6-5, The Ramo-Woodridge Corp., Guided Missile Research Div., GM-TR-18.
Abramson, H. N., 1966, “The Dynamic Behavior of Liquids in Moving Containers,” Southwest Research Institute, NASA SP-106, Washington, DC.
Housner,  G. W., 1957, “Dynamic Pressures on Accelerated Fluid Containers,” Bull. Seismol. Soc. Am., 47, pp. 15–35.
Veletsos, A. S., and Yang, J. Y., 1977, “Earthquake Response of Liquid Storage Tanks,” 2nd Engineering Mechanics Conference, ASCE, Raleigh, NC, pp. 1–24.
Haroun,  M. A., and Housner,  G. W., 1981, “Earthquake Response of Deformable Liquid Storage Tanks,” ASME J. Appl. Mech., 48, pp. 411–417.
Rammerstorfer,  F. G., Fisher,  F. D., and Scharf,  K., 1990, “Storage Tanks Under Earthquake Loading,” Appl. Mech. Rev., 43(11), pp. 261–283.
Veletsos,  A. S., and Tang,  Y., 1990, “Soil-Structure Interaction Effects for Laterally Excited Liquid Storage Tanks,” Earthquake Eng. Struct. Dyn., 19, pp. 473–496.
Ibrahim,  R. A., Pilipchuk,  V. N., and Ikeda,  T., 2001, “Recent Advances in Liquid Sloshing Dynamics,” Appl. Mech. Rev., 54(2), pp. 133–177.
Moiseev,  N. N., and Petrov,  A. A., 1966, “The Calculation of Free Oscillations of a Liquid in a Motionless Container,” Adv. Appl. Mech., 9, pp. 91–154.
Fox,  D. W., and Kutler,  J. R., 1981, “Upper and Lower Bounds for Sloshing Frequencies by Intermediate Problems,” J. Appl. Math. Phys.,32, pp. 667–682.
Fox,  D. W., and Kutler,  J. R., 1983, “Sloshing Frequencies,” J. Appl. Math. Phys.,34, pp. 669–696.
McIver,  P., 1989, “Sloshing Frequencies for Cylindrical and Spherical Containers Filled to an Arbitrary Depth,” J. Fluid Mech., 201, pp. 243–257.
McIver,  P., and McIver,  M., 1993, “Sloshing Frequencies of Longitudinal Modes for a Liquid Contained in a Trough,” J. Fluid Mech., 252, pp. 525–541.
McCarthy, J. L., and Stephens, D., 1960, “Investigation of the Natural Frequencies of Fluids in Spherical and Cylindrical Tanks,” Report NASA TN D-252.
Kana, D. D., 1979, “Liquid Slosh Response in Horizontal Cylindrical Tank Under Seismic Excitation,” Southwest Research Institute Report, Project 02-9238, San Antonio, TX.
Budiansky,  B., 1960, “Sloshing of Liquids in Circular Canals and Spherical Tanks,” J. Aerosp. Sci.,27, pp. 161–173.
Kobayashi,  N., Mieda,  T., Shibata,  H., and Shinozaki,  Y., 1989, “A Study of the Liquid Slosh Response in Horizontal Cylindrical Tanks,” ASME J. Pressure Vessel Technol., 111, pp. 32–38.
Evans,  D. V., and Linton,  C. M., 1993, “Sloshing Frequencies,” Q. J. Mech. Appl. Math., 46, pp. 71–87.
Abramowitz, M., and Stegun, I., 1972, Handbook of Mathematical Functions, 10th Ed., Dover, New York.
Faltinsen,  O. M., 1978, “A Numerical Nonlinear Method of Sloshing in Tanks With Two-Dimensional Flow,” J. Ship Res., 22, pp. 193–202.
Isaacson,  M., and Subbiach,  K., 1991, “Earthquake-Induced Sloshing in a Rigid Circular Tank,” Can. J. Civ. Eng., 18, pp. 904–915.


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Configuration of half-full horizontal cylindrical container
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Mechanical model approximating the sloshing response of a half-full cylindrical container
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Variation of sloshing frequencies with respect to the truncation size N
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Dominant eigenvalues for each longitudinal mode p and various aspect ratios of the container (L/R)
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Eigenmodes in terms of free-surface elevation corresponding to the first three eigenfrequencies (ω112131) of the first longitudinal mode (p=1), with L/R=π
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Converged values of Ca1 and Cv1 in terms of external excitation frequency (ω2R/g) for L/R=π,α1=0, and p=1
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Added mass coefficient Ca1 for horizontal cylinder and “equivalent” rectangle
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Response of a half-full cylindrical vessel subjected to the El Centro earthquake in its longitudinal direction for 5% damping. (a) El Centro ground motion (source: http://www.vibrationdata.com/elcentro.htm), (b) uniform motion force FU, (c) force associated with sloshing Fs and (d) total force F.




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