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Temporal-spatial dispersion analysis of finite element method in implicit time integration
- 1.0512115 - ÚT 2020 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Kruisová, Alena - Kolman, Radek - Mračko, Michal - Okrouhlík, Miloslav
Temporal-spatial dispersion analysis of finite element method in implicit time integration.
Engineering mechanics 2019. Book of full texts. Prague: Institute of Thermomechanics of the Czech Academy of Sciences, 2019 - (Zolotarev, I.; Radolf, V.), s. 215-218. ISBN 978-80-87012-71-0. ISSN 1805-8248.
[International Conference Engineering Mechanics 2019 /25./. Svratka (CZ), 13.05.2019-16.05.2019]
Grant CEP: GA ČR(CZ) GA17-22615S; GA MŠMT(CZ) EF15_003/0000493
Institucionální podpora: RVO:61388998
Klíčová slova: finite element method * time integration * Newmark method * dispersion errors * wave propagation
Obor OECD: Applied mechanics
The temporal-spatial dispersion analysis for the linear finite element method with implicit time integration is presented. The Newmark method with β = 1/2 and γ = 1/4 is used as well as the consistent
mass matrix. The temporal-spatial dispersion relationships are derived in the closed form and analyzed due to errors in numerical wave speed of propagation of harmonic wave. Based on this temporal-spatial dispersion analysis, a suitable mesh size and time step size for allowed errors in phase speed are mentioned as well as we present the polar dispersion graphs.
Trvalý link: http://hdl.handle.net/11104/0302601
Počet záznamů: 1