TY - GEN
T1 - A 3D shear deformable beam element based on the absolute nodal coordinate formulation applied to classical buckling problems
AU - Nachbagauer, Karin
AU - Gerstmayr, Johannes
PY - 2012
Y1 - 2012
N2 - The absolute nodal coordinate formulation (ANCF) has been developed for the modeling of large deformations in multibody dynamics problems. In contrast to classical nonlinear beam finite elements in literature, the ANCF does not use rotational degrees of freedom and therefore does not necessarily suffer from singularities emerging from angular parameterizations. Compared to the classical formulation, in which the mass matrix is not constant with respect to the generalized coordinates, ANCF elements generally lead to a constant mass matrix, which is advantageous in dynamic analysis. In the present approach, ANCF beam finite elements are presented, in which the orientation of the cross section is parameterized by means of slope vectors. These beam finite elements provide a continuum mechanics as well as a structural mechanics based formulation for the elastic forces. In a previous work, several static problem tests have shown accuracy and high order convergence in statics. The main subject of the present paper is to show the performance of the proposed beam finite elements in complex buckling tests, which can be solved accurately and efficiently.
AB - The absolute nodal coordinate formulation (ANCF) has been developed for the modeling of large deformations in multibody dynamics problems. In contrast to classical nonlinear beam finite elements in literature, the ANCF does not use rotational degrees of freedom and therefore does not necessarily suffer from singularities emerging from angular parameterizations. Compared to the classical formulation, in which the mass matrix is not constant with respect to the generalized coordinates, ANCF elements generally lead to a constant mass matrix, which is advantageous in dynamic analysis. In the present approach, ANCF beam finite elements are presented, in which the orientation of the cross section is parameterized by means of slope vectors. These beam finite elements provide a continuum mechanics as well as a structural mechanics based formulation for the elastic forces. In a previous work, several static problem tests have shown accuracy and high order convergence in statics. The main subject of the present paper is to show the performance of the proposed beam finite elements in complex buckling tests, which can be solved accurately and efficiently.
KW - Absolute nodal coordinate formulation
KW - Beam finite element
KW - Buckling
KW - Framed structures
KW - Right-angle frame
UR - http://www.scopus.com/inward/record.url?scp=84871624931&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84871624931
SN - 9783950353709
T3 - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
SP - 4324
EP - 4333
BT - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
T2 - 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Y2 - 10 September 2012 through 14 September 2012
ER -