Original title:
Dispersion errors for wave propagation in thin plate due to the finite element method
Authors:
Kruisová, Alena ; Kolman, Radek ; Mračko, Michal Document type: Papers Conference/Event: Conference with international participation COMPUTATIONAL MECHANICS 2019 /35./, Srní (CZ), 20191104
Year:
2019
Language:
eng Abstract:
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.
Keywords:
dispersion in FEM; modelling of Lamb's waves; Newmark time integration method Project no.: GA19-14237S (CEP) Funding provider: GA ČR Host item entry: COMPUTATIONAL MECHANICS 2019, ISBN 978-80-261-0889-4
Institution: Institute of Thermomechanics AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0302603