Název:
Dispersion properties of finite element method: review
Autoři:
Kolman, Radek ; Okrouhlík, Miloslav ; Plešek, Jiří ; Gabriel, Dušan Typ dokumentu: Příspěvky z konference Konference/Akce: Engeneering Mechanics /22./, Svratka (CZ), 2016-05-09 / 2016-05-12
Rok:
2016
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
dispersion properties; explicit time integration; finite element method; wave speed Číslo projektu: GAP101/12/2315 (CEP), TH01010772 (CEP), GA16-03823S (CEP) Poskytovatel projektu: GA ČR, GA TA ČR, GA ČR Zdrojový dokument: Engineering Mechanics 2016, ISBN 978-80-87012-59-8, ISSN 1805-8248
Instituce: Ústav termomechaniky AV ČR
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Informace o dostupnosti dokumentu:
Dokument je dostupný v příslušném ústavu Akademie věd ČR. Původní záznam: http://hdl.handle.net/11104/0261739