A 3D shear deformable beam element based on the absolute nodal coordinate formulation applied to classical buckling problems

Karin Nachbagauer, Johannes Gerstmayr

Research output: Chapter in Book/Report/Conference proceedingsConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages4324-4333
Number of pages10
Publication statusPublished - 2012
Externally publishedYes
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 10 Sept 201214 Sept 2012

Publication series

NameECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Conference

Conference6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Country/TerritoryAustria
CityVienna
Period10.09.201214.09.2012

Keywords

  • Absolute nodal coordinate formulation
  • Beam finite element
  • Buckling
  • Framed structures
  • Right-angle frame

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