### Abstract

The fluid-structure interaction problem in ship vibration
is studied. The basic formulation in terms of the dynamic
pressure induced by a vibrating structure is given. The
finite element method is applied to the solution of the
fluid equations. The coupling of the fluid and the
structure is formulated using the interface element
concept. The coupling matrices for several interface
elements are derived in details. The formulation leads to
an added-mass matrix, which represents the effect of the
fluid in ship vibration. The corresponding coupled
eigenproblem is solved using the so-called modal
approach, i.e. the dry modes of the structure are used as
Ritz functions in the final solution. The details of this
solution procedure are given also in the case when the
system has rigid body modes. The computer implementation
of the developed procedures is described. Several
numerical examples are given and some tentative
conclusions are drawn on the real fluid effect in beam
like vibrations of a ship hull girder. The procedures are
applied to a dynamic analysis of a 28 000 tdw bulk
carrier and a comparison with experimental results is
given.

Original language | English |
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Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 114 |

ISBN (Print) | 951-38-2705-4 |

Publication status | Published - 1986 |

MoE publication type | D4 Published development or research report or study |

### Publication series

Series | Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports |
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Number | 433 |

ISSN | 0358-5077 |

### Keywords

- vibration
- ships
- finite element analysis

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## Cite this

Hakala, M. (1986).

*Application of the finite element method to fluid-structure interaction in ship vibration*. VTT Technical Research Centre of Finland. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, No. 433