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Generalised electromagnetic forces in an absolute nodal coordinate formulation
Journal of Sound and Vibration, 2021Abstract This paper focuses on the mechanical, dynamic numerical modelling of an electrical-current-carrying cable using a non-linear absolute nodal coordinate formulation. The derived equations are an expansion of the mechanical equation of motion.
Borut Zemljarič, Valentin Ažbe
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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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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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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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Absolute nodal coordinate formulation of tetrahedral solid element
Nonlinear Dynamics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Olshevskiy +3 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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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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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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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.
Jia Wang, Tengfei Wang
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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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