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The Absolute Nodal Coordinate Formulation
2016The key idea of the absolute nodal coordinate formulation (ANCF) is to use slope vectors in order to describe the orientation of the cross-section of structural mechanics components, such as beams, plates or shells. This formulation relaxes the kinematical assumptions of Bernoulli–Euler and Timoshenko beam theories and enables a deformation of the ...
Johannes Gerstmayr +3 more
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Absolute Nodal Coordinate Formulation
Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, 1997Abstract There are three basic finite element formulations, which are used in multibody dynamics. These are the floating frame reference approach, the incremental method and the large rotation vector approach. In the floating frame of reference and incremental formulations, the slopes are assumed small in order to define infinitesimal ...
Ahmed A. Shabana +2 more
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An Internal Damping Model for the Absolute Nodal Coordinate Formulation
Nonlinear Dynamics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Vallejo, D. +2 more
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Description of Elastic Forces in Absolute Nodal Coordinate Formulation
Nonlinear Dynamics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sopanen, Jussi T., Mikkola, Aki M.
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Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation
Multibody System Dynamics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitrochenko, O. N., Pogorelov, D. Yu.
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Absolute Nodal Coordinate Formulation for Aeroelastic Analysis of Panel
Advanced Materials Research, 2012This paper deals with supersonic/hypersonic flutter analysis of panels. A 3-D rectangular plate element of variable thickness based on absolute nodal coordinate formulation (ANCF) has been developed for the structural model. A continuum mechanics approach for the definition of the elastic forces within the finite element is considered.
Laith K. Abbas +2 more
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Computer Implementation of the Absolute Nodal Coordinate Formulation for Flexible Multibody Dynamics
Nonlinear Dynamics, 1998This paper describes procedures for the computer implementation of the absolute nodal coordinate formulation for flexible multibody applications. In the absolute nodal coordinate formulation, no infinitesimal or finite rotations are used as nodal coordinates.
Ahmed A Shabana
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A Universal Quadrilateral Shell Element for the Absolute Nodal Coordinate Formulation
Journal of Computational and Nonlinear Dynamics, 2023Abstract A simple quadrilateral shell element is proposed in this work to study large deformations and large rotations of membrane/plate/shell structures. There are three merit characters in this element: locking-free; immune to mesh distortions; and robust to surface tessellations. Numerical issues in plates/shell elements such as shear-
Binghua Zhang, Wei Fan, Hui Ren
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Absolute Nodal Coordinate Formulation Coupled Deformation Modes
Design Engineering and Computers and Information in Engineering, Parts A and B, 2006The finite element absolute nodal coordinate formulation (ANCF) leads to beam and plate models that relax the assumption of the classical Euler-bernoulli and Timoshenko beam and Mindlin plate theories. In these more general models, the cross section is allowed to deform and it is no longer treated as a rigid surface.
Bassam A. Hussein +2 more
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Cross-Section Deformation in the Absolute Nodal Coordinate Formulation
Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005In this investigation, the deformation modes defined in the finite element absolute nodal coordinate formulation using several strain definitions are discussed. In order to accurately define strain components that can have easy physical interpretation, a material coordinate system is introduced to define the material element rotation and deformation ...
Hiroyuki Sugiyama +2 more
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