### Abstract

In this paper nonlinearities in the fluid-structure interactions of an elastically supported cylinder moving in the uniform fluid flow are discussed. A new two degrees-of-freedom wake oscillator model [1, 2] is utilised to describe vortex-induced vibrations of elastically supported cylinders capable of moving in cross-flow and in-line directions. Total hydrodynamic force acting on the cylinder is obtained here as a sum of lift and drag forces, which are defined as being proportional to the square of the magnitude of the relative flow velocity around

the cylinder. The two van der Pol type oscillators are then used to model fluctuating drag and lift coefficients. The resulting equations of motions of the cylinder in cross-flow and in-line directions are coupled through the fluid forces. Experimental data and Computational Fluid Dynamics (CFD) results are used to calibrate the proposed model and to verify the obtained predictions of complex fluid-structure interactions for different mass ratios.

the cylinder. The two van der Pol type oscillators are then used to model fluctuating drag and lift coefficients. The resulting equations of motions of the cylinder in cross-flow and in-line directions are coupled through the fluid forces. Experimental data and Computational Fluid Dynamics (CFD) results are used to calibrate the proposed model and to verify the obtained predictions of complex fluid-structure interactions for different mass ratios.

Original language | English |
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Title of host publication | Contributions to the Foundations of Multidisciplinary Research in Mechanics |

Subtitle of host publication | Papers presented during the 24th International Congress of Theoretical and Applied Mechanics |

Editors | J. M. Floryan |

Place of Publication | Canada |

Publisher | IUTAM |

Pages | 172-173 |

Number of pages | 2 |

Volume | 1 |

ISBN (Print) | 9780660054599 |

Publication status | Published - 2017 |

Event | 24th International Congress of Theoretical and Applied Mechanics - Montreal, Canada Duration: 22 Aug 2016 → 26 Aug 2016 |

### Conference

Conference | 24th International Congress of Theoretical and Applied Mechanics |
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Abbreviated title | (ICTAM 2016) |

Country | Canada |

City | Montreal |

Period | 22/08/16 → 26/08/16 |

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## Cite this

Pavlovskaia, E. E., Postnikov, A., & Wiercigroch, M. (2017). Nonlinear Vibrations of Elastically Supported Cylinder Moving in the Fluid Flow. In J. M. Floryan (Ed.),

*Contributions to the Foundations of Multidisciplinary Research in Mechanics: Papers presented during the 24th International Congress of Theoretical and Applied Mechanics*(Vol. 1, pp. 172-173). IUTAM. http://iutam.org/wp-content/uploads/2017/02/ICTAM_Proceedings_Vol_1.pdf