Subharmonic Oscillations in an Arbitrary Tank Resulting From Axial Excitation

[+] Author and Article Information
Wen-Hwa Chu

Southwest Research Institute, San Antonio, Texas

J. Appl. Mech 35(1), 148-154 (Mar 01, 1968) (7 pages) doi:10.1115/1.3601129 History: Received March 06, 1967; Online September 14, 2011


The problem of subharmonic liquid response in a container subjected to vertical (axial) excitation has been solved to the first approximation by the method of perturbation, employing characteristic functions. In principle, the tank can be arbitrary. However, the computational effort required to construct the characteristic functions and their derivatives may limit the application to tanks of relatively simple geometry such as a compartmented axisymmetric tank. As a check of the theoretical result, the simplest example for a rectangular tank is given, and the results are in good agreement with experiments and a third-order theory by Yarymovych.

Copyright © 1968 by ASME
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