`a`

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

Pages: 424 - 432, Issue Special, September 2009

 Abstract        Full Text (131.6K)              

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 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, Non-Linear Euler-Bernoulli Beam, Potential Flow, Fluid Structure Interaction
Mathematics Subject Classification:  Primary: 49K20, 70K20; Secondary: 74K10

Received: July 2008;      Revised: March 2009;      Published: September 2009.