A combined boundary-finite element procedure for dynamic analysis of plates with fluid and foundation interaction considering free surface effect

Akif Kutlu*, Bahadır Uğurlu, Mehmet Hakkı Omurtag

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

This study combines a mixed finite element formulation and a boundary element procedure for the free vibration analysis of Mindlin plates resting on Pasternak foundation and interacting with a quiescent fluid with a free surface on the other side. The plate-foundation system is represented by a two field mixed finite element formulation, based on the Hellinger-Reissner variational principle, and the fluid-structure interaction is incorporated into the analysis through a boundary element solution. The proposed formulation provides the added mass matrix in terms of the plate deflection, which is appended into the plate equation of motion. The method is applied to the free vibration problem of circular and elliptical bottom plates of rigid fluid storage tanks supported by elastic foundation. Effects of system parameters, such as thickness to width and fluid depth ratios, foundation parameters and plate ellipticity, are extensively studied.

Original languageEnglish
Pages (from-to)34-43
Number of pages10
JournalOcean Engineering
Volume145
DOIs
Publication statusPublished - 15 Nov 2017

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Ltd

Keywords

  • Added mass
  • Boundary elements
  • Circular/elliptical plate
  • Elastic bottom
  • Fluid storage tanks
  • Fluid-plate-foundation interaction
  • Free surface
  • Free vibration
  • Hydroelasticity
  • Mindlin plate
  • Mixed finite elements
  • Pasternak foundation

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