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TECHNICAL PAPERS

A Mechanical Model for Low-Gravity Sloshing in an Axisymmetric Tank

[+] Author and Article Information
M. Utsumi

Machine Element Department, Technical Research Laboratory, Ishikawajima-Harima Heavy Industries Company, Ltd., 1 Shinnakaharacho, Isogu-ku, Yokohama 235-8501, Japan

J. Appl. Mech 71(5), 724-730 (Nov 09, 2004) (7 pages) doi:10.1115/1.1794700 History: Received July 18, 2001; Revised April 03, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

Abramson, H. N., ed, 1966, “The Dynamic Behavior of Liquids in Moving Containers,” NASA SP-106.
Dodge,  F. T., and Garza,  L. R., 1967, “Experimental and Theoretical Studies of Liquid Sloshing at Simulated Low Gravity,” ASME J. Appl. Mech., 34, pp. 555–562.
Bauer,  H. F., and Eidel,  W., 1990, “Linear Liquid Oscillations in Cylindrical Container Under Zero-Gravity,” Appl. Microgravity Technol., 2, pp. 212–220.
Satterlee, H. M., and Reynolds, W. C., 1964, “The Dynamics of the Free Liquid Surface in Cylindrical Containers Under Strong Capillary and Weak Gravity Conditions,” Technical Report LG-2, Dept. of Mech. Eng., Stanford University, Stanford, CA.
Peterson,  L. D., Crawley,  E. F., and Hansman,  R. J., 1989, “Nonlinear Fluid Slosh Coupled to the Dynamics of a Spacecraft,” AIAA J., 27, pp. 1230–1240.
Bauer,  H. F., and Eidel,  W., 1993, “Hydroelastic Vibrations in a Circular Cylindrical Container with a Flexible Bottom in Zero-Gravity,” J. Fluids Struct., 7, pp. 783–802.
Tong,  P., 1967, “Liquid Motion in a Circular Cylindrical Container With a Flexible Bottom,” AIAA J., 5, pp. 1842–1848.
Hung,  R. J., and Lee,  C. C., 1992, “Similarity Rules in Gravity Jitter-Related Spacecraft Liquid Propellant Slosh Waves Excitation,” J. Fluids Struct., 6, pp. 493–522.
Chu,  W. H., 1970, “Low-Gravity Fuel Sloshing in an Arbitrary Axisymmetric Rigid Tank,” ASME J. Appl. Mech., 37, pp. 828–837.
Concus, P., Crane, G. E., and Satterlee, H. M., 1969, “Small Amplitude Lateral Sloshing in Spheroidal Containers Under Low Gravitational Conditions,” NASA CR-72500.
Dodge,  F. T., Green,  S. T., and Cruse,  M. W., 1991, “Analysis of Small-Amplitude Low Gravity Sloshing in Axisymmetric Tanks,” Microgravity Sci. Technol., 4, pp. 228–234.
Yeh,  C. K., 1967, “Free and Forced Oscillations of a Liquid in an Axisymmetric Tank at Low-Gravity Environments,” ASME J. Appl. Mech., 34, pp. 23–28.
Dodge,  F. T., and Garza,  L. R., 1970, “Simulated Low-gravity Sloshing in Spherical, Ellipsoidal, and Cylindrical Tanks,” J. Spacecr. Rockets, 7, pp. 204–206.
Coney, T. A., and Salzman, J. A., 1971, “Lateral Sloshing in Oblate Spheroidal Tanks Under Reduced- and Normal-Gravity Conditions,” NASA TN D-6250.
Utsumi,  M., 1998, “Low-Gravity Propellant Slosh Analysis Using Spherical Coordinates,” J. Fluids Struct., 12, pp. 57–83.
Utsumi,  M., 2000, “Low-gravity Sloshing in an Axisymmetrical Container Excited in the Axial Direction,” ASME J. Appl. Mech., 67, pp. 344–354.
Utsumi,  M., 2000, “Development of Mechanical Models for Propellant Sloshing in Teardrop Tanks,” J. Spacecr. Rockets, 37, pp. 597–603.
Seliger,  R. L., and Whitham,  G. B., 1968, “Variational Principles in Continuum Mechanics,” Proc. R. Soc. London, Ser. A, 305, pp. 1–25.

Figures

Grahic Jump Location
Axisymmetric tank and coordinate systems
Grahic Jump Location
Dimensionless slosh mass
Grahic Jump Location
Dimensionless position of fixed mass
Grahic Jump Location
Dimensionless position of slosh mass
Grahic Jump Location
Dimensionless eigenfrequency

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