Analytical Solution of In-Plane Response of a Thin Viscoelastic Disc Under Impact Load

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43896945" target="_blank" >RIV/49777513:23520/11:43896945 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/11:00368650
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Analytical Solution of In-Plane Response of a Thin Viscoelastic Disc Under Impact Load
Original language description
This paper concerns the analytical solution of the in-plane response of a thin viscoelastic disc to a dynamic load applied to its rim. The exact analytical relations for the Laplace transforms of radial and circumferential displacements are derived in terms of Bessel functions for the case of radial and torsional loads defined by even and odd functions of angular variable, respectively. The numerical evaluation of the analytical solution is then made for the case of an impulse radial load and transientwave phenomena are studied in the disc. With respect to the complexity of presented formulae, the multi-precision implementation of FFT based numerical algorithm for the inverse Laplace transform is used. The obtained analytical results are then comparedto the results of numerical simulation performed in the finite element system MSC.Marc. The presented analytical solution can be used as a benchmark solution for the testing of numerical methods.
Czech name
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Czech description
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Project
<a href="/en/project/GP101%2F09%2FP082" target="_blank" >GP101/09/P082: Analytical, numerical and experimental investigation of non-stationary state of stress in a viscoelastic disc</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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