A 3D Finite Element Method for Flexible Multibody Systems

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A geometrically exact beam element based on the absolute nodal coordinate formulation (2008, background): “It has been previously shown that elements which can not account for shear deformation have similarities to elements modeled with the floating frame of reference formulation as well as conventional finite element approaches [5], while numerical algorithms show benefits for systems that are solely ba”
Three-Dimensional Solid Brick Element Using Slopes in the Absolute Nodal Coordinate Formulation (2014, background): “Gerstmayr and Sch€oberl investigated a three-dimensional finite element method for flexible multibody systems [21].”
Analysis of Stress and Strain in the Absolute Nodal Coordinate Formulation (2006, methodology): “Special numerical time stepping techniques have been derived in order to perform efficient simulation of flexible multibodies based on absolute coordinates (Gerstmayr and Schöberl, 2006).”
State of the Art of ANCF Elements Regarding Geometric Description, Interpolation Strategies, Definition of Elastic Forces, Validation and the Locking Phenomenon in Comparison with Proposed Beam Finite Elements (2014, background): “Thus, an important contribution for increasing the efficiency of the so-called absolute coordinate formulation (ACF) has been developed [49], in which a corotational strain measure is introduced for the efficient modelling of flexible multibody systems.”