Development of shear and cross section deformable beam finite elements applied to large deformation and dynamics problems

Karin Nachbagauer (1)

1 Upper Austria University of Applied Sciences

In this paper, beam finite elements based on the absolute nodal coordinate formulation (ANCF) are presented, in which the orientation of the cross section is parameterized by means of slope vectors only. Resulting, no singularities due to an angle parameter occur and the mass matrix is advantageously constant. A continuum mechanics as well as a structural mechanics based formulation for the elastic forces are investigated. Static as well as dynamic examples show accuracy and high order convergence of the presented beam finite elements.

Mots clés: Multibody System Dynamics; Beam Finite Elements; Absolute Nodal Coordinate Formulation

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Karin Nachbagauer. Development of shear and cross section deformable beam finite elements applied to large deformation and dynamics problems. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855840⟩