A 3D shear deformable finite element based on the absolute nodal coordinate formulation

Karin Nachbagauer, Peter Gruber, Johannes Gerstmayr

Publikation: Beitrag in Buch/Bericht/TagungsbandKonferenzbeitragBegutachtung

32 Zitate (Scopus)

Abstract

The absolute nodal coordinate formulation (ANCF) has been developed for the modeling of large deformation beams in two or three dimensions. The absence of rotational degrees of freedom is the main conceptual difference between the ANCF and classical nonlinear beam finite elements that can be found in literature. In the present approach, an ANCF beam finite element is presented, in which the orientation of the cross section is parameterized by means of slope vectors. Based on these slope vectors, a thickness as well as a shear deformation of the cross section is included. The proposed finite beam element is investigated by an eigenfrequency analysis of a simply supported beam. The high frequencies of thicknessmodes are of the same magnitude as the shear mode frequencies. Therefore, the thickness modes do not significantly influence the performance of the finite element in dynamical simulations. The lateral buckling of a cantilevered right-angle frame under an end load is investigated in order to show a large deformation example in statics, as well as a dynamic application. A comparison to results provided in the literature reveals that the present element shows accuracy and high order convergence.

OriginalspracheEnglisch
TitelMultibody Dynamics
UntertitelComputational Methods and Applications
Redakteure/-innenJean-Claude Samin, Paul Fisette
Herausgeber (Verlag)Springer
Seiten77-96
Seitenumfang20
ISBN (Print)9789400754034
DOIs
PublikationsstatusVeröffentlicht - 2013
Extern publiziertJa
VeranstaltungECCOMAS Thematic Conference on Multibody Dynamics, 2003 - Barcelona, Spanien
Dauer: 30 Juni 20033 Juli 2003

Publikationsreihe

NameComputational Methods in Applied Sciences
Band28
ISSN (Print)1871-3033

Konferenz

KonferenzECCOMAS Thematic Conference on Multibody Dynamics, 2003
Land/GebietSpanien
OrtBarcelona
Zeitraum30.06.200303.07.2003

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