Experimental Investigation of Liquid Sloshing Under Parametric Random Excitation

[+] Author and Article Information
R. A. Ibrahim

Department of Mechanical Engineering, Wayne State University, Detroit, MI 48202

R. T. Heinrich

LTV, Aircraft Products Group, Dallas, TX

J. Appl. Mech 55(2), 467-473 (Jun 01, 1988) (7 pages) doi:10.1115/1.3173701 History: Received September 26, 1986; Revised October 19, 1987; Online July 21, 2009


This paper presents an experimental investigation of the random parametric excitation of a dynamic system with nonlinear inertia. The experimental model is a rigid circular tank partially filled with an incompressible inviscid liquid. The random responses of the first antisymmetric and symmetric sloshing modes are considered for band-limited random excitations. These include the means, mean squares, and probability density functions of each sloshing mode. The response of the liquid-free surface is found to be a stationary process for test durations exceeding ten minutes. The time-history response records reveal four response characteristic regimes. Each regime takes place within a certain range of excitation spectral density level. An evidence of the jump phenomenon, which was predicted theoretically by using the non-Gaussian closure scheme, is also reported. Comparisons with analytical results, derived by three different approaches, are given for the first antisymmetric sloshing mode.

Copyright © 1988 by ASME
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