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

Emine Kaya; Eugenio Aulisa; Akif Ibragimov; Padmanabhan Seshaiyer

doi:10.3934/proc.2009.2009.424

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2009, Volume 2009: 424-432. Doi: 10.3934/proc.2009.2009.424 open access

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

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

Received: June 30, 2008

Revised: February 28, 2009

Published: August 2009

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Abstract

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.

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

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