DISPERSION PROPERTIES OF FINITE ELEMENT METHOD: REVIEW


Abstract eng:
Review of the dispersion properties of plane square bilinear finite element used in plane elastic wave propagation problems is presented. It is assumed the grid (spatial) dispersion analysis and, further, the temporal-spatial dispersion analysis for explicit direct time integration based on the central difference method. In this contribution, the dispersion surfaces, polar diagrams and error dispersion graphs for bilinear finite element are depicted for different Courant numbers in explicit time integration. Finally, recommendation for setting the mesh size and the time step size for the explicit time integration of discretized equations of motion by the bilinear finite element method is provided.

Contributors:
Publisher:
Institute of Thermomechanics AS CR, v.v.i., Praha
Conference Title:
Conference Title:
Engineering Mechanics 2016
Conference Venue:
Svratka, CZ
Conference Dates:
2016-05-09 / 2016-05-12
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2016-08-16, last modified 2016-08-16


Original version of the author's contribution as presented on CD, id 071, section MIN.:
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