0385578 - ÚT 2013 RIV NL eng J - Journal Article
Adámek, V. - Valeš, František
Analytical solution of transient in-plane vibration of a thin viscoelastic disc and its multi-precision evaluation.
Mathematics and Computers in Simulation. Roč. 85, NOV 2012 (2012), s. 34-44. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR(CZ) GAP101/11/0288
Institutional support: RVO:61388998
Keywords : transient vibration * viscoelastic disc * analytical solution
Subject RIV: BI - Acoustics
Impact factor: 0.836, year: 2012 ; AIS: 0.431, rok: 2012
Result website:
http://www.sciencedirect.com/science/article/pii/S037847541200225XDOI: https://doi.org/10.1016/j.matcom.2012.09.014

The analytical solution of transient in-plane vibration of a thin viscoelastic disc caused by a radial presure load is presented. Using the multi-precision implementation of FFT based algorithm, the inverse Laplace transform is carried out and the spatiotemporal distribution of displacement components are obtained. The efficiency and the accuracy of the process of analytical solution evalution are discused in detail and the consequences in context of the application of results are mentioned. Finaly, the results of numerical simulation are presented. They are used for the verification of the correctness of the derived analytical formulae and their evaluation and for determination of numerical model capabilities.
Permanent Link: http://hdl.handle.net/11104/0216341