Application of the finite element method to fluid-structure interaction in ship vibration

Matti Hakala

Research output: Book/ReportReport

2 Citations (Scopus)

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 languageEnglish
Place of PublicationEspoo
PublisherVTT Technical Research Centre of Finland
Number of pages114
ISBN (Print)951-38-2705-4
Publication statusPublished - 1986
MoE publication typeD4 Published development or research report or study

Publication series

SeriesValtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports
Number433
ISSN0358-5077

Fingerprint

ships
finite element method
vibration
fluids
interactions
ship hulls
formulations
dynamic pressure
rigid structures
matrices

Keywords

  • vibration
  • ships
  • finite element analysis

Cite this

Hakala, M. (1986). Application of the finite element method to fluid-structure interaction in ship vibration. Espoo: VTT Technical Research Centre of Finland. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, No. 433
Hakala, Matti. / Application of the finite element method to fluid-structure interaction in ship vibration. Espoo : VTT Technical Research Centre of Finland, 1986. 114 p. (Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports; No. 433).
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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.",
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Hakala, M 1986, Application of the finite element method to fluid-structure interaction in ship vibration. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, no. 433, VTT Technical Research Centre of Finland, Espoo.

Application of the finite element method to fluid-structure interaction in ship vibration. / Hakala, Matti.

Espoo : VTT Technical Research Centre of Finland, 1986. 114 p. (Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports; No. 433).

Research output: Book/ReportReport

TY - BOOK

T1 - Application of the finite element method to fluid-structure interaction in ship vibration

AU - Hakala, Matti

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

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KW - ships

KW - finite element analysis

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SN - 951-38-2705-4

T3 - Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports

BT - Application of the finite element method to fluid-structure interaction in ship vibration

PB - VTT Technical Research Centre of Finland

CY - Espoo

ER -

Hakala M. Application of the finite element method to fluid-structure interaction in ship vibration. Espoo: VTT Technical Research Centre of Finland, 1986. 114 p. (Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports; No. 433).