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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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Formulation of Three-Dimensional Joint Constraints Using the Absolute Nodal Coordinates
Nonlinear Dynamics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sugiyama, Hiroyuki +2 more
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Absolute nodal coordinate formulation for dynamic analysis of reinforced concrete structures
Structures, 2021Abstract An efficient and accurate beam element for performing explicit dynamic analysis of reinforced concrete beam elements was built using the absolute nodal coordinate formulation (ANCF). Such a formulation is useful for performing dynamic analysis under large strains and displacement with sudden load changes, such as during impact loading or for
Han Xiao, Brock D. Hedegaard
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Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory
Journal of Mechanical Design, 2000The description of a beam element by only the displacement of its centerline leads to some difficulties in the representation of the torsion and shear effects. For instance such a representation does not capture the rotation of the beam as a rigid body about its own axis.
Ahmed A. Shabana, Refaat Y. Yakoub
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Efficiency of non-dimensional analysis for absolute nodal coordinate formulation
Nonlinear Dynamics, 2016Absolute nodal coordinate formulation was developed in the mid-1990s. The adoption of the continuum mechanics concept has allowed large displacements and large deformations to be expressed in flexible body analysis. However, the analysis time increases due to the increased number of degrees of freedom at nodal points.
Kun-Woo Kim +6 more
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A piecewise beam element based on absolute nodal coordinate formulation
Nonlinear Dynamics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Zuqing, Lan, Peng, Lu, Nianli
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Absolute nodal coordinate formulation of large-deformation piezoelectric laminated plates
Nonlinear Dynamics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nada, Ayman A., El-Assal, Ahmed M.
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A novel collocation beam element based on absolute nodal coordinate formulation
Acta Mechanica, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jia Wang +3 more
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Deformation modes in the finite element absolute nodal coordinate formulation
Journal of Sound and Vibration, 2006Abstract The objective of this study is to provide interpretation of the deformation modes in the finite element absolute nodal coordinate formulation using several strain definitions. In this finite element formulation, the nodal coordinates consist of absolute position coordinates and gradients that can be used to define a unique rotation and ...
Hiroyuki Sugiyama +2 more
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Elimination of high frequencies in the absolute nodal coordinate formulation
Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2009The performance of the coordinate partitioning method, the method of Lagrangian multipliers with Baumgarte's stabilization, and the penalty method to account for non-linear constraints of a linear beam element based on the absolute nodal coordinate formulation is studied. Proper non-linear constraints are selected to avoid high-frequency transverse or
M K Matikainen +3 more
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