Buckling analysis of beam structure with absolute nodal coordinate formulation
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2020Absolute nodal coordinate formulation (ANCF) was applied to the buckling analysis. A delicate analysis scheme based on dichotomy method was proposed to solve the buckling problem with beam elements whose tangent stiffness matrix is a highly nonlinear function of nodal coordinates. Three existing planar beam elements are employed to show the application.
Jia Wang, Tengfei Wang
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A Nodal-Lie-Group Beam Element for Absolute Nodal Coordinate Formulations
Journal of Computational and Nonlinear DynamicsAbstract A new 12DOF beam element is proposed to simulate large deformation and large rotation based on the 24DOF absolute nodal coordinate formulation (ANCF) beam element proposed before. The centerline of the beam is interpolated by Hermite shape functions, and the frame of the beam is interpolated by linear shape functions.
Binghua Zhang, Wei Fan, Hui Ren
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A New Plate Element Based on the Absolute Nodal Coordinate Formulation
Volume 6A: 18th Biennial Conference on Mechanical Vibration and Noise, 2001Abstract In this investigation, a method for the finite rotation and large deformation analysis of plates is presented. The method, which is based on the absolute nodal coordinate formulation, leads to a plate element capable of representing exact rigid body motion.
Aki M. Mikkola, Ahmed A. Shabana
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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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Strain Tensors in the Absolute Nodal Coordinate and the Floating Frame of Reference Formulation
Nonlinear Dynamics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Construction method for circular arc elements in rational absolute nodal coordinate formulation
Mechanism and Machine TheoryPeng Lan
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Comparison of the absolute nodal coordinate and geometrically exact formulations for beams
Multibody System Dynamics, 2013The modeling of flexibility in multibody systems has received increase scrutiny in recent years. The use of finite element techniques is becoming more prevalent, although the formulation of structural elements must be modified to accommodate the large displacements and rotations that characterize multibody systems.
Bauchau, Olivier +3 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.
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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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Studies on the Kinematics of Thin Shell Elements Based on the Absolute Nodal Coordinate Formulation
Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, 2014The absolute nodal coordinate formulation (ANCF) is a finite element procedure that has been developed specifically for the dynamic analysis of large deformation problems. This study concerns compatibility problems in thin rectangular ANCF shell elements, which have been reported in a recent study revealing that these elements lead to a loss of inter ...
Hyldahl, Per Christian +2 more
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