FLUID STRUCTURE INTERACTION PROBLEM WITH CHANGINGTHICKNESS NON-LINEAR BEAMFluid structure interaction problem with changing thickness non-linear beam

Emine Kaya; Eugenio Aulisa; Akif Ibragimov; Padmanabhan Seshaiyer

doi:10.3934/proc.2011.2011.813

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2011, Volume 2011: 813-823. Doi: 10.3934/proc.2011.2011.813 open access

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FLUID STRUCTURE INTERACTION PROBLEM WITH CHANGING THICKNESS NON-LINEAR BEAM Fluid structure interaction problem with changing thickness 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, 2010

Revised: March 31, 2011

Published: August 2017

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Abstract

In this work we consider the dynamical response of a non-linear beam interacting with potential flow. The beam part is modeled using a non-linear system of momentum equations for the axial and transverse displacements. Changing in the beam thickness has been modeled in the momentum of inertia. The fluid flow part is subjected to the Bernoulli potential law. In particular we show that for a class of boundary conditions and for a specic constraint in the beam thickness rate of change, there exists an appropriate energy norm which is bounded by the incoming flow velocity in the liquid region.

Keywords:

Stability Analysis,
Non-Linear Partial Dierential Equations,
Euler- Beam.

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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FLUID STRUCTURE INTERACTION PROBLEM WITH CHANGING THICKNESS NON-LINEAR BEAM Fluid structure interaction problem with changing thickness non-linear beam

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