A kinematically exact space finite strain beam model -- finite element formulation by generalized virtual work principle
From MaRDI portal
Publication:1913209
DOI10.1016/0045-7825(94)00056-SzbMath0852.73062MaRDI QIDQ1913209
Publication date: 24 November 1996
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
linearizationNewton methodcantileverdisplacement vectorBernoulli hypothesisincremental rotational vectorout-of-plane buckling loadspre- and post-critical load-displacement pathsright-angle frame
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)
Related Items
Direct computation of critical equilibrium states for spatial beams and frames, A computational framework for polyconvex large strain elasticity for geometrically exact beam theory, On the geometrically exact beam model: a consistent, effective and simple derivation from three-dimensional finite-elasticity, Dynamic analysis of beam structures considering geometric and constitutive nonlinearity, Consistent tangent operator for an exact Kirchhoff rod model, Constitutive and geometric nonlinear models for the seismic analysis of RC structures with energy dissipators, On path-following methods for structural failure problems, Co-rotational finite element formulation for thin-walled beams with generic open section, The linearized three-dimensional beam theory of naturally curved and twisted beams: The strain vector formulation, A kinematically exact finite element formulation of planar elastic-plastic frames, Nonlinear `master-slave' relationships for joints in 3-D beams with large rotations, On a virtual work consistent three-dimensional Reissner-Simo beam formulation using the quaternion algebra, A consistent strain-based beam element with quaternion representation of rotations, A cell‐centered finite volume formulation of geometrically exact Simo–Reissner beams with arbitrary initial curvatures, Extension of non-linear beam models with deformable cross sections, Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures., Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam, Integrating rotation from angular velocity, A solid-beam finite element and non-linear constitutive modelling, The finite deformation theory for beam, plate and shell. IV: The FE formulation of Mindlin plate and shell based on Green-Lagrangian strain, The quaternion-based three-dimensional beam theory, Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995), Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics, Rigorous amendment of Vlasov's theory for thin elastic plates on elastic Winkler foundations, based on the principle of virtual power, Unnamed Item, A mixed finite element for three-dimensional nonlinear analysis of steel frames, Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams, Using discrete optimization algorithms to find minimum energy configurations of slender cantilever beams with non-convex energy functions, Interpolation of rotational variables in nonlinear dynamics of 3D beams, Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations, Small-amplitude free vibrations of straight beams subjected to large displacements and rotation, The finite deformation theory for beam, plate and shell. III: The three-dimensional beam theory and the FE formulation, A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization, Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams, Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility, Static analysis of beam structures under nonlinear geometric and constitutive behavior, A co-rotational finite element formulation for buckling and postbuckling analyses of spatial beams, A finite element formulation for a geometrically exact Kirchhoff-Love beam based on constrained translation, A corotational formulation for thin-walled beams with monosymmetric open section
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- A three-dimensional finite-strain rod model. II. Computational aspects
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams
- Large displacement analysis of space-frame structures
- Finite rotation analysis and consistent linearization using projectors
- The (symmetric) Hessian for geometrically nonlinear models in solid mechanics: Intrinsic definition and geometric interpretation
- Finite element method - The natural approach
- An excursion into large rotations
- A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
- A variational principle for finite planar deformation of straight slender elastic beams
- A 3-D, co-rotational, curved and twisted beam element
- A beam finite element non-linear theory with finite rotations
- A fast incremental/iterative solution procedure that handles “snap-through”
- Effective modelling of spatial buckling of beam assemblages, accounting for warping constraints and rotation-dependency of moments
- Large displacement formulation of a three-dimensional beam element with cross-sectional warping
- Finite element formulation of hyperelastic plane frames subjected to nonconservative loads
- On the Parametrization of the Three-Dimensional Rotation Group
- On large displacement-small strain analysis of structures with rotational degrees of freedom
