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Title

Free Vibrations of Iso- and Orthotropic Plates Considering Plate Variable Thickness and Interaction with Water

Authors

[ 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

2020

Published in

Vibrations in Physical Systems

Journal year: 2020 | Journal volume: vol. 31 | Journal number: no. 2

Article type

scientific article

Publication language

english

Keywords
EN
  • thin plates
  • vibrations
  • Finite Element Method
  • Finite Difference Method
  • adjoined mass
Abstract

EN The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness are considered in the paper. Isotropic and orthotropic rectangular plates with different boundary conditions are analysed. The Finite Element Method and the Finite Difference Method are used to describe structural deformation. The elements of stiffness matrix are derived numerically using author’s approaches of localization of integration points. The plate inertia forces are expressed by diagonal, lumped mass matrix or consistent mass matrix. The presence of the external medium, which can be a fluid, is described by the fluid velocity potential of double layer and the fundamental solution of Laplace equation which leads to the fully-populated mass matrix. The influence of external additional liquid mass on natural frequencies of plate is analysed, too,

Pages (from - to)

2020216-1 - 2020216-8

DOI

10.21008/j.0860-6897.2020.2.16

URL

https://vibsys.put.poznan.pl/_journal/2020-31-2/articles/vibsys_2020216.pdf

Comments

Article Number: 2020216

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

Download file

Access level to full text

public

Ministry points / journal

40

Ministry points / journal in years 2017-2021

70

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