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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Analytical solution for a heterogeneous Timoshenko beam subjected to an arbitrary dynamic transverse load
Original language description
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
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JI - Composite materials
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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