Augmented Beam Elements Using Unit Deflection Shapes of the Cross Section

作者：Kreutz J^*; Mueller G

来源：Bauingenieur, 2014, 89: 216-224.

This work covers the field of augmented beam Finite Elements for geometrical and material linear, prismatic structures in the fields of static and dynamic excitations. An approach of superposed unit deflection shapes which are defined on a two dimensional Finite Element mesh of the cross section is used. This Finite Element mesh of the cross section is also used for the preparation of the mode shapes by solving different differential equations such that mode shapes emerge which most effectively cover the physical effects occurring on beam shaped structures with a three dimensional material law. The concept of mode shapes is in analogy with the concept of warping torsion of beam elements. The method is validated and visualized with several numerical examples which are compared to the results of three dimensional standard Finite Element models.
This article represents a short version of the PhD thesis of the first author submitted at the Faculty of Civil, Geo and Environmental Engineering of the TU Munchen.

• 出版日期2014-5