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On the dynamics of liquids in a cylindrical tank with a flexible bottom
Authors:Prof. Dr.-Ing. J. Siekmann  Mr. Shih -Chih Chang M.S.
Affiliation:(1) School of Engineering Mechanics, Georgia Institute of Technology, 30332 Atlanta, Georgia, USA;(2) Department of Mechanical Engineering, College of Engineering and Science, Carnegie-Mellon University, Pittsburgh, Pennsylvania, USA
Abstract:Summary The problem of hydroelastic sloshing of a liquid, partially filling a cylindrical tank with rigid side walls and a flat flexible bottom, has been investigated. The liquid is assumed to be inviscid, homogeneous and incompressible; the flexible bottom is assumed to be a stretched membrane. An approximate solution is given and numerical examples are discussed. The data obtained show good agreement with experimental results reported by other authors.
Übersicht In der vorliegenden Arbeit wird das hydroelastische Problem des Schwappens von flüssigem Treibstoff in einem kreiszylindrischen Tank mit starrer Wand und ebenem, flexiblem Boden untersucht. Die Flüssigkeit wird als reibungsfrei, homogen und inkompressibel, der Boden als gespannte Membran angenommen. Eine Näherungslösung wird angegeben und numerische Rechnungen werden diskutiert. Die erhaltenen Resultate zeigen gute Übereinstimmung mit experimentellen Befunden anderer Autoren.


Paper presented in part at the Canadian Congress of Applied Mechanics, Centennial Year 1967, 22–26 May 1967, Lavai University at Quebec City. This work was performed under National Aeronautics and Space Administration Grant No. NsG-542 to the University of Florida. Numerical calculations were carried out at the University of Florida computing center.
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