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RESEARCH PAPERS

Free and Forced Oscillations of a Liquid in an Axisymmetric Tank at Low-Gravity Environments

[+] Author and Article Information
Gordon C. K. Yeh

TRW Systems, Redondo Beach, Calif.

J. Appl. Mech 34(1), 23-28 (Mar 01, 1967) (6 pages) doi:10.1115/1.3607644 History: Received April 14, 1966; Revised September 06, 1966; Online September 14, 2011

Abstract

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.

Copyright © 1967 by ASME
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