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Formulation of Three-Dimensional Joint Constraints Using the Absolute Nodal Coordinates

Nonlinear Dynamics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sugiyama, Hiroyuki   +2 more
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Definition of the Slopes and the Finite Element Absolute Nodal Coordinate Formulation

Multibody System Dynamics, 1997
An absolute nodal coordinate formulation, in which no infinitesimal or finite rotations are used as nodal coordinates, can be systematically developed and efficiently used in many large deformation applications as well as in the analysis of curved structures. This formulation leads to a constant mass matrix, and as a consequence, an efficient procedure
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Large Deformation and Vibration Analysis of Microbeams by Absolute Nodal Coordinate Formulation

International Journal of Structural Stability and Dynamics, 2019
This investigation uses the absolute nodal coordinate formulation (ANCF) method to solve statics and dynamics of microbeams for the first time. A comprehensive model for the investigation of statics and dynamics of microbeams by using gradient deficient elements of the ANCF and modified couple stress theory (MCST) is developed. The vibration equations
Li, L.   +3 more
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A Lagrange–Eulerian formulation of an axially moving beam based on the absolute nodal coordinate formulation

Multibody System Dynamics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pechstein, Astrid, Gerstmayr, Johannes
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A piecewise beam element based on absolute nodal coordinate formulation

Nonlinear Dynamics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Zuqing, Lan, Peng, Lu, Nianli
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Buckling analysis of beam structure with absolute nodal coordinate formulation

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2020
Absolute 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.
Jia Wang, Tengfei Wang
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A Nodal-Lie-Group Beam Element for Absolute Nodal Coordinate Formulations

Journal of Computational and Nonlinear Dynamics
Abstract 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, 2001
Abstract 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, 2016
Absolute 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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