Analytical solution for a heterogeneous Timoshenko beam subjected to an arbitrary dynamic transverse load

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43924532" target="_blank" >RIV/49777513:23520/15:43924532 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.euromechsol.2014.07.016" target="_blank" >http://dx.doi.org/10.1016/j.euromechsol.2014.07.016</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.euromechsol.2014.07.016" target="_blank" >10.1016/j.euromechsol.2014.07.016</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analytical solution for a heterogeneous Timoshenko beam subjected to an arbitrary dynamic transverse load

Popis výsledku v původním jazyce

This paper presents the analytical solution for dynamic response of a simply supported heterogeneous Timoshenko beam. Elastic constants and material density are assumed to vary in the thickness direction according to an arbitrary even function. First, the governing equations are established and the dependence of Timoshenko shear coefficient on material functions is derived for rectangular cross-section. Once the equations of motion are derived, they are solved using the classical integral transform method and the Laplace transforms of the beam deflection and of the slope of the beam are presented for an arbitrary type of dynamic load. Then a particular impact problem of a three-layered beam is solved and the analytical results obtained by means of thenumerical inverse Laplace transform are confronted with the results of numerical simulations. The correctness and the validity of derived analytical solution are then discussed based on this comparison. Analysis made show that using the p

Název v anglickém jazyce

Analytical solution for a heterogeneous Timoshenko beam subjected to an arbitrary dynamic transverse load

Popis výsledku anglicky

This paper presents the analytical solution for dynamic response of a simply supported heterogeneous Timoshenko beam. Elastic constants and material density are assumed to vary in the thickness direction according to an arbitrary even function. First, the governing equations are established and the dependence of Timoshenko shear coefficient on material functions is derived for rectangular cross-section. Once the equations of motion are derived, they are solved using the classical integral transform method and the Laplace transforms of the beam deflection and of the slope of the beam are presented for an arbitrary type of dynamic load. Then a particular impact problem of a three-layered beam is solved and the analytical results obtained by means of thenumerical inverse Laplace transform are confronted with the results of numerical simulations. The correctness and the validity of derived analytical solution are then discussed based on this comparison. Analysis made show that using the p

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JI - Kompositní materiály

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

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

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

ISSN

0997-7538

e-ISSN

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Svazek periodika

49

Číslo periodika v rámci svazku

leden 2015

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

9

Strana od-do

373 - 381

Kód UT WoS článku

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EID výsledku v databázi Scopus

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