Engineering Mechanics

Proceedings Vol. 15 (2009)

ENGINEERING MECHANICS 2009

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 11 – 14, 2009, Svratka, Czech Republic

;

Editors: Jiří Náprstek and Cyril Fischer

ISBN 978-80-86246-35-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Stability analysis of plane serendipity finite element for explicit linear elastodynamics

R. Kolman, J. Plešek, D. Gabriel
pages 657 - 672, full text

The central difference method is widely used for the numerical solution of the transient elastodynamics problems by the ﬁnite element method. The effectiveness of this explicit conditional stable direct time integration methods is limited by using diagonal mass matrix, which entails signiﬁcant computational savings and storage advantages. However, for the serendipity type element the construction of such diagonalized matrices is not uniquely deﬁned and various class of lumped mass matrices can be assembled. In this paper the stability analysis for the plane square serendipity ﬁnite element is performed for various class of lumped mass matrices. ´

back to list of papers

Text and facts may be copied and used freely, but credit should be given to these Proceedings.

All papers were reviewed by members of the scientific committee.

Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)

ENGINEERING MECHANICS 2009