Fluid structure interaction problem with changing thickness beam and slightly compressible fluid

Eugenio Aulisa, Akif Ibragimov, Emine Yasemen Kaya-Cekin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this work, we consider the dynamical response of a non-linear beam with changing thickness, perturbed in both vertical and axial directions, interacting with a Darcy ow. We explore this uid-structure interaction prob- lem where the uid is assumed to be slightly compressible. In an appropriate Sobolev norm, we build an energy functional for the displacement field of the beam and the gradient pressure of the uid ow. We show that for a class of boundary conditions the energy functional is bounded by the ux of mass through the inlet boundary.

Original languageEnglish
Pages (from-to)1133-1148
Number of pages16
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume7
Issue number6
DOIs
StatePublished - 2014

Keywords

  • Darcy flow
  • Non-linear plate
  • Stability
  • Von Karman plate

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