Journal ArticleDOI
Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation
TLDR
A way to generate new finite elements in the absolute nodalcoordinate formulation (ANCF) and use a generalization of displacementfields and degrees of freedom of ordinary finite elements used in structural mechanics to study Hermitian element.Abstract:
We propose a way to generate new finite elements in the absolute nodalcoordinate formulation (ANCF) and use a generalization of displacementfields and degrees of freedom (d.o.f.) of ordinary finite elements usedin structural mechanics. Application of this approach to 16- and12-d.o.f. rectangle plate elements as well as to 9-d.o.f. triangleelement gives, accordingly, 48-, 36- and 27-d.o.f. ANCF plate elements.We perform a thorough study of a 48-d.o.f. Hermitian element. Its shapefunction set is a Cartesian product of sets of one-dimensional shapefunctions for beam elements. Arguments of the shape functions aredecoupled, that is why an explicit calculation of terms of equations ofmotion leads to single integration only. We develop several models ofelastic forces of different complexity with their Jacobian matrices.Convergence and accuracy of the finite element is demonstrated ingeometrically nonlinear static and dynamic test problems, as well as inlinear analysis of natural frequencies.read more
Citations
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Journal ArticleDOI
Analysis of Thin Beams and Cables Using the Absolute Nodal Co-ordinate Formulation
TL;DR: In this paper, a lower-order cable element is introduced for thin structures where bending stiffness can be important in some applications, and the performance of this cable element was evaluated by comparing it with existing formulations using several examples.
Book
Computational Continuum Mechanics
TL;DR: In this article, the authors present a finite element formulation for small deformation, large rotation problem, and force and stresses for large deformation and rotation problem with a small number of forces.
MonographDOI
Computational continuum mechanics, second edition
TL;DR: Finite element formulation: small deformation, large rotation problem.
Journal ArticleDOI
Review on the Absolute Nodal Coordinate Formulation for Large Deformation Analysis of Multibody Systems
Book ChapterDOI
Chrono: An Open Source Multi-physics Dynamics Engine
Alessandro Tasora,Radu Serban,Hammad Mazhar,Arman Pazouki,Daniel Melanz,Jonathan A. Fleischmann,Michael R. Taylor,Hioyuki Sugiyama,Dan Negrut +8 more
TL;DR: An overview of a multi-physics dynamics engine called Chrono, which has been recently augmented to support the modeling of fluid-solid interaction problems and linear and nonlinear finite element analysis (FEA).
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
Flexible Multibody Dynamics: Review of Past and Recent Developments
TL;DR: A review of past and recent developments in the dynamics of flexible multibody systems is presented, and some of the basic approaches used in the computer aided kinematic and dynamic analysis of flexible mechanical systems are reviewed to identify future directions in this research area.
Journal ArticleDOI
Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory
Ahmed A. Shabana,R. Y. Yakoub +1 more
TL;DR: In this article, an absolute nodal coordinate formulation is presented for the large rotation and deformation analysis of three dimensional beam elements, taking into account the effect of rotary inertia, torsion and shear, and ensuring continuity of the slopes as well as the rotation of the beam cross section at the nodal points.
Journal ArticleDOI
Development of simple models for the elastic forces in the absolute nodal co-ordinate formulation
TL;DR: In this article, the authors developed simple and accurate elastic force models that can be used in the absolute nodal co-ordinate formulation for the analysis of two-dimensional beams, which can account for the coupling between bending and axial deformations.
Related Papers (5)
Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory
Ahmed A. Shabana,R. Y. Yakoub +1 more
A two-dimensional shear deformable beam for large rotation and deformation problems
Mohamed A. Omar,Ahmed A. Shabana +1 more