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Free Vibrations of Kirchhoff Plates Considering Plate Variable Thickness and Interaction with Water Including Water Boundaries


[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ SzD ] doctoral school student | [ P ] employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering and transport

Year of publication


Published in

Vibrations in Physical Systems

Journal year: 2021 | Journal volume: vol. 32 | Journal number: no. 2

Article type

scientific article

Publication language


  • thin plates
  • natural vibrations
  • FEM
  • FDM
  • BEM
  • adjoined mass
  • fluid-structure interaction

EN The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness and interaction with water are considered in the paper. The influence of the water free surface on natural frequencies of the coupled water-plate system is analysed too. The Finite Element Method (FEM) and the Finite Difference Method (FDM) are used to describe structural deformation and the Boundary Element Method (BEM) is applied to describe the dynamic interaction of water on a plate surface. The plate inertia forces are expressed by diagonal or consistent mass matrix. The water inertia forces are described by fullypopulated mass matrix which is obtained directly from the theory of double layer potential.

Pages (from - to)

2021208-1 - 2021208-7





Article Number: 2021208

License type

CC BY (attribution alone)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

at the time of publication

Full text of article

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Ministry points / journal in years 2017-2021


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