Linear oscillations of a stretched hyperelastic circular membrane encapsulating a sloshing liquid. Preliminary results

by    I. P. Gavriljuk, M. Hermann, A. Timokha, V. Trotsenko

Preprint series: 05-19, Reports on Numerical Mathematics

I. P. Gavriljuk, M. Hermann, A. Timokha, V. Trotsenko

Preprint series: , Reports on Numerical Mathematics

MSC:
35R35 Free boundary problems for PDE
76B07 Free-surface potential flows

Abstract: The eigenfield of an inflated/deflated stretched circular membrane, which is clamped to a circular cylindrical cavity filled by a liquid, is examined.
The preprint presents basic mathematical formulations, preliminary mathematical results and proposes a numerical approach.

Keywords: Hyperelasticity, Linear Fluid Sloshing, Natural Frequencies

Upload: 2005-12-22

Update: 2005


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