Modeling of free vibrations and resonant frequencies of simply-supported submerged horizontal plate

Justyna Sławińska-Budzich; Wojciech Sulisz; Jarosław Przewłócki

doi:10.1371/journal.pone.0298290

Modeling of free vibrations and resonant frequencies of simply-supported submerged horizontal plate

Abstrakt

A theoretical approach was applied to study the vibration of simple-supported submerged horizontal plate. The derived analytical solution was used to determine natural frequencies for a horizontal plate vibrating in fluid. The investigations were conducted for a very wide range of material density and elasticity modulus covering all materials used in engineering practice. Analysis shows that plate vibration frequency decreases with increasing plate width and draft, and decreases with decreasing plate thickness. Moreover, the results show that a substantial effect on vibration of submerged plate has mass of water above plate. The results also show that plate vibration frequency decreases with increasing plate material density and decreases with decreasing elasticity modulus. The dominant factors affecting the vibration of the submerged plate are the plate width, the plate thickness, and elasticity modulus. For moderate and low values of elasticity modulus, vibration frequency is becoming lower than frequency of water waves. This is very important because wave frequencies overlap with the natural plate vibration frequencies, which may lead to resonance and failure of a structure. The problem is that the overlap of plate vibration frequencies and wave frequencies occurs for very wide range of wave and plate parameters. Laboratory experiments confirm theoretical results.

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Autorzy (3)

Justyna Sławińska-Budzich (dawniej: Justyna Slawinska-Budzich)
- Instytut Budownictwa Wodnego PAN
Wojciech Sulisz dr hab. inż.
- Instytut Budownictwa Wodnego PAN
Jarosław Przewłócki prof. dr hab. inż.

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Wersja publikacji: Accepted albo Published Version
DOI:: Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1371/journal.pone.0298290
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Kategoria:

Publikacja w czasopiśmie

Typ:

artykuły w czasopismach

Opublikowano w:

PLOS ONE nr 19,
ISSN: 1932-6203

Język:

angielski

Rok wydania:

2024

Opis bibliograficzny:

Slawinska-Budzich J., Sulisz W., Przewłócki J.: Modeling of free vibrations and resonant frequencies of simply-supported submerged horizontal plate// PLOS ONE -Vol. 19,iss. 3 (2024), s.e0298290-

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