Hydroelastic Solutions of the Sloshing of a Liquid in a Cylindrical Tank
The problem of sloshing (free surfaceoscillations) of a liquid in a cylindrical tank with rigid walls and a flexible bottom (a thin elastic plate) is studied for both the axisymmetric and asymmetric cases. The coupled boundary-value problem of the liquid and the elastic bottom is solved for small motions. The frequency equations are obtained and the effect of the coupling investigated. It is shown that the frequency equations reduce properly to the various limiting cases. The orthogonality of the coupled mode shapes is investigated and a theorem concerning the coupled mode shapes is proved.
P. G. Bhuta and L. R. Koval, "Hydroelastic Solutions of the Sloshing of a Liquid in a Cylindrical Tank," Journal of the Acosutical Society of America, Acoustical Society of America (ASA), Jan 1964.
The definitive version is available at http://dx.doi.org/10.1121/1.1919324
Mechanical and Aerospace Engineering
Keywords and Phrases
Elasticity; Elasticity Theory; Equations of Motion; Free Oscillations; Free Surface
Article - Journal
© 1964 Acoustical Society of America (ASA), All rights reserved.