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Article

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Title

Free Axisymmetric Flexural Vibrations of Circular Plate with Symmetrically Varying Mechanical Properties Supported on Elastic Foundation

Authors

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
  • circular plate
  • elastic foundation
  • shear effect
  • axisymmetric flexural vibration
Abstract

EN The subject of the paper is a circular plate with clamped edge supported on elastic foundation. Mechanical properties of the plate symmetrically vary in its thickness direction. Free axisymmetric flexural vibration problem of the plate with consideration of the shear effect is analytically studied. Two partial differential equations of motion based on the Hamilton principle are obtained. The system of equations is analytically solved and the fundamental natural frequency of axisymmetric vibration for example plates is derived.

Pages (from - to)

2020217-1 - 2020217-8

DOI

10.21008/j.0860-6897.2020.2.17

URL

https://vibsys.put.poznan.pl/_journal/2020-31-2/articles/vibsys_2020217.pdf

License type

CC BY (attribution alone)

Full text of article

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Access level to full text

public

Ministry points / journal

40.0

Ministry points / journal in years 2017-2021

70.0

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