Analytical solution for transient response of an infinite viscoelastic strip

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43927326" target="_blank" >RIV/49777513:23520/15:43927326 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Analytical solution for transient response of an infinite viscoelastic strip

Popis výsledku v původním jazyce

This paper lies within the framework of elasto-dynamics, in particular, the problem of transient waves propagated in an infinite viscoelastic strip with free-free boundaries is treated. Using the exact theory of two-dimensional continuum, the transient response of the strip subjected to a specific type of transverse pressure load is investigated. The system of equations of motion represented by two integro-differential equations is solved by means of the Laplace and Fourier transforms and the exact formulae for basic mechanical quantities are derived in the Laplace domain. The numerical inverse Laplace transform based on the FFT and Wynn’s epsilon accelerator is then used to obtain the results in time domain. Using the spatio-temporal distribution of the total velocity, the wave phenomena in the strip are analysed and discussed. Finally, the analytical results represented by the time histories of velocity components at specific points of the strip are then compared with those resulted from numerical simulations performed in the finite element code MSC.Marc/Mentat. The accuracy and the efficiency of both approaches are discussed based on this comparison.

Název v anglickém jazyce

Analytical solution for transient response of an infinite viscoelastic strip

Popis výsledku anglicky

This paper lies within the framework of elasto-dynamics, in particular, the problem of transient waves propagated in an infinite viscoelastic strip with free-free boundaries is treated. Using the exact theory of two-dimensional continuum, the transient response of the strip subjected to a specific type of transverse pressure load is investigated. The system of equations of motion represented by two integro-differential equations is solved by means of the Laplace and Fourier transforms and the exact formulae for basic mechanical quantities are derived in the Laplace domain. The numerical inverse Laplace transform based on the FFT and Wynn’s epsilon accelerator is then used to obtain the results in time domain. Using the spatio-temporal distribution of the total velocity, the wave phenomena in the strip are analysed and discussed. Finally, the analytical results represented by the time histories of velocity components at specific points of the strip are then compared with those resulted from numerical simulations performed in the finite element code MSC.Marc/Mentat. The accuracy and the efficiency of both approaches are discussed based on this comparison.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GAP101%2F12%2F2315" target="_blank" >GAP101/12/2315: Modelování šíření akustických vln v silně heterogenních prostředích; víceškálové numerické a analytické přístupy</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOURNAL OF VIBRATION ENGINEERING &amp; TECHNOLOGIES

ISSN

2321-3558

e-ISSN

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Svazek periodika

3

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

IN - Indická republika

Počet stran výsledku

12

Strana od-do

699-710

Kód UT WoS článku

000367595300003

EID výsledku v databázi Scopus

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