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Dispersion errors for wave propagation in thin plate due to the finite element method
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SYSNO ASEP 0515394 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Dispersion errors for wave propagation in thin plate due to the finite element method Author(s) Kruisová, Alena (UT-L) RID
Kolman, Radek (UT-L) RID
Mračko, Michal (UT-L)Number of authors 3 Source Title COMPUTATIONAL MECHANICS 2019. - Plzeň : University of West Bohemia, 2019 - ISBN 978-80-261-0889-4 Pages s. 105-108 Number of pages 4 s. Publication form Medium - C Action Conference with international participation COMPUTATIONAL MECHANICS 2019 /35./ Event date 04.11.2019 - 06.11.2019 VEvent location Srní Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords dispersion in FEM ; Newmark time integration method ; modelling of Lamb's waves Subject RIV BI - Acoustics OECD category Applied mechanics R&D Projects GA19-14237S GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 Annotation 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2020
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