Engineering Mechanics

International Conference

Proceedings Vol. 25 (2019)


ENGINEERING MECHANICS 2019

25th INTERNATIONAL CONFERENCE
May 13 – 16, 2019, Svratka, Czech Republic
;
Editors: Igor Zolotarev and Vojtěch Radolf

Copyright © 2019 Institute of Thermomechanics of the Czech Academy of Sciences, Prague

ISBN 978-80-87012-71-0 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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TEMPORAL-SPATIAL DISPERSION ANALYSIS OF FINITE ELEMENT METHOD IN IMPLICIT TIME INTEGRATION
Kruisová A., Kolman R., Mračko M., Okrouhlík M.:
pages 215 - 218, full text

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.


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