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

Pages: 813 - 823, Issue Special, September 2011

 Abstract        Full Text (391.2K)              

Emine Kaya - Department of Mathematics and Statistics, Texas Tech University, Lubbock TX, 79409-1042, United States (email)
Eugenio Aulisa - Department of Mathematics and Statistics, Texas Tech University, Lubbock TX, 79409-1042, United States (email)
Akif Ibragimov - Department of Mathematics and Statistics, Texas Tech University, Lubbock TX, 79409-1042, United States (email)
Padmanabhan Seshaiyer - Department of Mathematical Sciences, George Mason University, Fairfax VA, 22030, United States (email)

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 speci c 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 Di erential Equations, Euler- Beam.
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35

Received: July 2010;      Revised: April 2011;      Published: October 2011.