Dispersion errors for wave propagation in thin plate due to the finite element method

0515394 - ÚT 2020 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Kruisová, Alena - Kolman, Radek - Mračko, Michal
Dispersion errors for wave propagation in thin plate due to the finite element method.
COMPUTATIONAL MECHANICS 2019. Plzeň: University of West Bohemia, 2019, s. 105-108. ISBN 978-80-261-0889-4.
[Conference with international participation COMPUTATIONAL MECHANICS 2019 /35./. Srní (CZ), 04.11.2019-06.11.2019]
Grant CEP: GA ČR(CZ) GA19-14237S
Institucionální podpora: RVO:61388998
Klíčová slova: dispersion in FEM * Newmark time integration method * modelling of Lamb's waves
Obor OECD: Applied mechanics

In modelling of wave propagation by finite element method, both the spatial and temporal discretization lead to dispersion errors. For 2D plane strain elements these errors can be stated analytically. These analytical relations derived for harmonical waves in the infinite continuum can be used for error estimation on an example of simulation of Lamb's wave in plate using the implicit time integration method. So the analytical relations for dispersion errors can serve for determination of element size and time step size in wave propagation.
Trvalý link: http://hdl.handle.net/11104/0302603