Longitudinal Sloshing of Liquid in a Flexible Hemispherical Tank

[+] Author and Article Information
Chintsun Hwang

The University of Texas, Austin, Tex.

J. Appl. Mech 32(3), 665-670 (Sep 01, 1965) (6 pages) doi:10.1115/1.3627276 History: Received May 18, 1964; Online September 15, 2011


The paper deals with the longitudinal sloshing of liquid in a flexible hemispherical tank supported along the edge. The axisymmetrical sloshing modes of a rigid hemispherical tank are first established using the kernel-function approach. Potential functions are introduced considering both the liquid sloshing modes and the shell-liquid interaction modes. Lagrange’s equation is used to establish the dynamic response of the system. The numerical data indicate that in general the intercoupling between the shell-liquid mode and the liquid longitudinal sloshing mode is weak. The amplitudes of liquid sloshing are found to be relatively small under perfectly axisymmetrical loading conditions.

Copyright © 1965 by ASME
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