Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and Applications

By R. Y. Yakoub, Ahmed A Shabana. 2001

354 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/7ceb6646507c31090a977268cdfa749290c56ace

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In Control and Systems Engineering

In Mechanical Engineering

Citations in the corpus

A new locking-free shear deformable finite element based on absolute nodal coordinates (2007, background): “The concept of shear deformable elements has been extended to three-dimensional beam and plate/shell elements [5, 6 , 10].”
Dynamic simulation of frictional contacts of thin beams during large overall motions via absolute nodal coordinate formulation (2014, neutral): “The finite elements of ANCF introduced the global position vector and position vector gradients as nodal coordinates, leading to a constant mass matrix and, as a consequence, zero centrifugal and Coriolos forces [23–28].”
A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems (2011, methodology): “Thus, the global position of an arbitrary point in the 3D ANCF-based element can be determined by considering the nodal coordinates vector e with 24 coordinates [32, 33]”
Comparison of the absolute nodal coordinate and geometrically exact formulations for beams (2014, background): “The shape functions of the element are defined as follows [28, 29],”
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, methodology): “In the classical ANCF 2D and 3D beam elements by [84,139] the interpolation of shear and bending deformation is not of the same order.”
A nonlinear visco-elastic constitutive model for large rotation finite element formulations (2011, background): “[ 26 ]. In this case, the vector of the element nodal coordinates can be written as follows:”