Problem of non-stationary waves in viscoelastic orthotropic strip solved using analytical method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43926120" target="_blank" >RIV/49777513:23520/15:43926120 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/15:00452339

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Problem of non-stationary waves in viscoelastic orthotropic strip solved using analytical method

Popis výsledku v původním jazyce

The transient response of an infinite orthotropic strip subjected to a transverse load is investigated using an analytical method in this work. The material properties of the strip are described by the discrete model of standard linear viscoelastic solid. In this study, the case of special orthotropy is assumed, i.e., the principal material and geometric axes of the strip are coincident. Once the final system of equations describing the plane-stress problem solved is derived, the integral transform method is used to obtain the Laplace transforms of displacement and velocity components. The inversion of the resulted formulae back to time domain is carried out by the help of numerical inverse Laplace transform. In particular, an algorithm based on the FFT and Wynn's epsilon accelerator was used for this purpose. In the last part of this work, the analytical results obtained for selected orthotropic material are compared to those resulted from numerical simulation performed in the finite element code MSC.Marc. The comparison made showed good agreement between analytical and numerical results and proved their correctness. Finally, the efficiency of both approaches is discussed.

Název v anglickém jazyce

Problem of non-stationary waves in viscoelastic orthotropic strip solved using analytical method

Popis výsledku anglicky

The transient response of an infinite orthotropic strip subjected to a transverse load is investigated using an analytical method in this work. The material properties of the strip are described by the discrete model of standard linear viscoelastic solid. In this study, the case of special orthotropy is assumed, i.e., the principal material and geometric axes of the strip are coincident. Once the final system of equations describing the plane-stress problem solved is derived, the integral transform method is used to obtain the Laplace transforms of displacement and velocity components. The inversion of the resulted formulae back to time domain is carried out by the help of numerical inverse Laplace transform. In particular, an algorithm based on the FFT and Wynn's epsilon accelerator was used for this purpose. In the last part of this work, the analytical results obtained for selected orthotropic material are compared to those resulted from numerical simulation performed in the finite element code MSC.Marc. The comparison made showed good agreement between analytical and numerical results and proved their correctness. Finally, the efficiency of both approaches is discussed.

Druh

D - Stať ve sborníku

CEP obor

JI - Kompositní materiály

OECD FORD obor

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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 statě ve sborníku

COMPDYN 2015

ISBN

978-960-99994-7-2

ISSN

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e-ISSN

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Počet stran výsledku

9

Strana od-do

1995-2003

Název nakladatele

National Technical University of Athens

Místo vydání

Athens

Místo konání akce

Crete, Greece

Datum konání akce

25. 5. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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