Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory

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

512 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/aeec49564e21a83e4e996f9bb1a3cd756cf68b9a

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In Control and Systems Engineering

In Mechanical Engineering

Citations in the corpus

A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations (2008, methodology): “Based on them, a beam structural model could be developed, such as in [35, 37 , 44].”
Describing Rigid-Flexible Multibody Systems Using Absolute Coordinates (2003, methodology): “This finite element procedure has been successfully applied to two [1] and three-dimensional [ 2 , 3] beam elements, shells, and plates.”
A geometrically exact beam element based on the absolute nodal coordinate formulation (2008, background): “This leads to a constant description of the mass matrix which remains in effect also in the case of three-dimensional elements [ 24 ].”
Dynamics of a large scale rigid–flexible multibody system composed of composite laminated plates (2011, methodology): “,B12) were discretized by using two ANCF beam elements proposed by Shabana and Yakoub [4].”
Dynamic simulation of frictional contacts of thin beams during large overall motions via absolute nodal coordinate formulation (2014, unknown): “While the fully parameterized beam element of ANCF is able to describe the shear and cross-section deformations of a beam [24,43], it suffers from locking problems, such as Poisson locking and shear locking [44].”
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]”
Analysis of Stress and Strain in the Absolute Nodal Coordinate Formulation (2006, background): “The original three-dimensional ANCF element (Yakoub and Shabana, 2001) is described by 12 DOF at each of the two nodes.”