### 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 specific 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.

Original language | English |
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Pages (from-to) | 813-823 |

Number of pages | 11 |

Journal | Discrete and Continuous Dynamical Systems- Series A |

Issue number | SUPPL. |

State | Published - Sep 2011 |

### Keywords

- Euler- Beam
- Non-linear partial differential equations
- Stability analysis

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## Cite this

Kaya-Cekin, E., Aulisa, E., Ibragimov, A., & Seshaiyer, P. (2011). Fluid structure interaction problem with changing thickness non-linear beam.

*Discrete and Continuous Dynamical Systems- Series A*, (SUPPL.), 813-823.