Full dispersion analysis of the Newmark family in finite element method in elastodynamics

0483171 - ÚT 2018 CZ eng A - Abstract
Kruisová, Alena - Kolman, Radek - Mračko, Michal
Full dispersion analysis of the Newmark family in finite element method in elastodynamics.
Computational Mechanics 2017 - extended abstracts. Plzeň: University of West Bohemia, 2017 - (Adámek, V.; Jonášová, A.). s. 65-66. ISBN 978-80-261-0748-4.
[Computational Mechanics 2017 /33./. 06.11.2017-08.11.2017, Špičák]
R&D Projects: GA ČR GA17-22615S
Institutional support: RVO:61388998
Keywords : temporal and spatial dispersion * finite element method * Newmark time integration method
Subject RIV: BI - Acoustics

Full (both temporal and spatial) dispersion analysis of plane square linear and biquadratic serendipity finite elements for Newmark family of time integration methods in transient elastodynamics is presented. The effective time step size (Courant number) is established for implicit time integration schemes with both consistent and lumped mass matrices. Different lumping schemes for diagonalization of mass matrix are considered. This work is compared with previous study of dispersion analysis of explicit central difference method with lumped mass matrix. Dispersion errors of the phase velocity are given for different values of Courant number. Some numerical examples are given.
Permanent Link: http://hdl.handle.net/11104/0279218