A hybrid interpolation method for geometric nonlinear spatial beam elements with explicit nodal force
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Publication:1793727
DOI10.1155/2016/8980676zbMath1400.74054OpenAlexW2289649565WikidataQ59140999 ScholiaQ59140999MaRDI QIDQ1793727
Publication date: 12 October 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/8980676
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Uses Software
Cites Work
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- Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case
- Study of the geometric stiffening effect: comparison of different formulations
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations
- A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- A three-dimensional finite-strain rod model. II. Computational aspects
- Computer implementation of the absolute nodal coordinate formulation for flexible multibody dynamics
- Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures.
- An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods
- A locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rods
- Description of elastic forces in absolute nodal coordinate formulation
- Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
- On one-dimensional finite-strain beam theory: the plane problem
- A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
- A formal procedure and invariants of a transition from conventional finite elements to the absolute nodal coordinate formulation
- A beam finite element non-linear theory with finite rotations
- Large displacement analysis of three-dimensional beam structures
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- A criterion on inclusion of stress stiffening effects in flexible multibody dynamic system simulation
- On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory
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