Free‐Vibration Analysis of Tank Containing Two Liquids
Publication: Journal of Engineering Mechanics
Volume 120, Issue 3
Abstract
A study of the dynamic characteristics of rigidly supported upright circular cylindrical tanks containing two different liquids is presented. The governing differential equations for the tank—two‐liquid system are obtained by application of the Rayleigh‐Ritz procedure in combination with Lagrange's equation. The response functions examined include the fundamental natural frequency, the associated mode of vibration and hydrodynamic pressure exerted against the tank wall. Unlike the cases of tanks containing one liquid in which the dynamic response is controlled by four parameters, the dynamic response of a tank that contains two liquids is controlled by six parameters. The numerical results are presented in tabular and graphic forms, and are compared with those of the identical tank filled with one liquid. Also, a simple approximate equation for evaluating the fundamental natural frequency for preliminary design is proposed.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 3 • March 1994
Pages: 618 - 636
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Nov 19, 1992
Published online: Mar 1, 1994
Published in print: Mar 1994
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