A stability estimate for fluid structure interaction problem with non-linear beam

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2009, 2009(Special): 424-432. doi: 10.3934/proc.2009.2009.424

A stability estimate for fluid structure interaction problem with non-linear beam

Emine Kaya ^1, , Eugenio Aulisa ^1, , Akif Ibragimov ^1, and Padmanabhan Seshaiyer ^2,

1.	Department of Mathematics and Statistics, Texas Tech University, Lubbock TX, 79409-1042, United States, United States, United States
2.	Department of Mathematical Sciences, George Mason University, Fairfax VA, 22030, United States

Received July 2008 Revised March 2009 Published September 2009

Abstract
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In this work we consider the dynamical response of a non-linear beam with viscous damping, perturbed in both the transverse and axial directions interacting with a potential flow. In particular we show that for a class of boundary conditions (clamped beam) and given inlet velocity flow for the fluid, there exists appropriate energy norm for the parameters of the beam (displacements) and flow (potential) bounded by the inlet boundary condition for the fluid flow.

Keywords: Stability Analysis, Potential Flow, Non-Linear Euler-Bernoulli Beam, Fluid Structure Interaction.

Mathematics Subject Classification: Primary: 49K20, 70K20; Secondary: 74K10.

Citation: Emine Kaya, Eugenio Aulisa, Akif Ibragimov, Padmanabhan Seshaiyer. A stability estimate for fluid structure interaction problem with non-linear beam. Conference Publications, 2009, 2009 (Special) : 424-432. doi: 10.3934/proc.2009.2009.424

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