Modal modeling of the fluid-structure interaction associated with sloshing in a tapered conical tank

by    I. Gavriljuk, M. Hermann, I. Lukovsky, O. Solodun, A. Timokha

Preprint series: 10-02, Reports on Numerical Mathematics

MSC:
35J20 Variational methods for second-order, elliptic equations
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Abstract: Employing a variational solution of basic boundary problems of the linear modal sloshing theory in a tapered conical tank, we derive a multimodal model describing the forced liquid motions and associated hydrodynamic loads. The multimodal model can be used in problems on the fluid-structure interaction. This fact is exemplified for Sretenski's problem on the dynamic damper as well as for coupled eigenoscillations of a water tower with a conical elevated tank.

Keywords: Sloshing, conical tank, modal system, fluid-structure interaction

Upload: 2010-04-19


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