A new locking-free shear deformable finite element based on absolute nodal coordinates
From MaRDI portal
Publication:842220
DOI10.1007/s11071-006-9155-4zbMath1193.74148OpenAlexW2002978739WikidataQ120239166 ScholiaQ120239166MaRDI QIDQ842220
José L. Escalona, Aki M. Mikkola, Daniel García-Vallejo
Publication date: 22 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-006-9155-4
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (28)
State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements ⋮ Simple formulations of imposing moments and evaluating joint reaction forces for rigid-flexible multibody systems ⋮ A triangular plate element 2343 using second-order absolute-nodal-coordinate slopes: numerical computation of shape functions ⋮ An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions ⋮ A new locking-free beam element based on absolute nodal coordinates ⋮ Coupled thermo-structural analysis of a bimetallic strip using the absolute nodal coordinate formulation ⋮ A quaternion-based formulation of Euler-Bernoulli beam without singularity ⋮ Geometrically nonlinear analysis of beam structures via hierarchical one-dimensional finite elements ⋮ Curve-induced distortion of polynomial space curves, flat-mapped extension modeling, and their impact on ANCF thin-plate finite elements ⋮ Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates ⋮ A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation ⋮ Nonlinear solutions for the steady state oscillations of a clamped-free rotating beam ⋮ Experimental validation of flexible multibody dynamics beam formulations ⋮ Dynamic simulation for beam to beam frictionless contact using a novel region detection algorithm ⋮ A high-precision curvature constrained Bernoulli-Euler planar beam element for geometrically nonlinear analysis ⋮ Nonsmooth spatial frictional contact dynamics of multibody systems ⋮ Integration of absolute nodal elements into multibody system ⋮ Shear locking in one-dimensional finite element methods ⋮ Simulation of planar flexible multibody systems with clearance and lubricated revolute joints ⋮ Development of an efficient calculation procedure for elastic forces in the ANCF beam element by using a constrained formulation ⋮ Transversally higher-order interpolating polynomials for the two-dimensional shear deformable ANCF beam elements based on common coefficients ⋮ Locking alleviation in the large displacement analysis of beam elements: the strain split method ⋮ Topology optimization of a flexible multibody system with variable-length bodies described by ALE-ANCF ⋮ A new modeling method for flexible multibody systems ⋮ Simulation of a viscoelastic flexible multibody system using absolute nodal coordinate and fractional derivative methods ⋮ Reanalysis-based fast solution algorithm for flexible multi-body system dynamic analysis with floating frame of reference formulation ⋮ A 3D Shear Deformable Finite Element Based on the Absolute Nodal Coordinate Formulation ⋮ Approximation of pre-twisted Achilles sub-tendons with continuum-based beam elements
Uses Software
Cites Work
- Unnamed Item
- Efficient evaluation of the elastic forces and the Jacobian in the absolute nodal coordinate formulation
- Study of the geometric stiffening effect: comparison of different formulations
- Formulation of three-dimensional joint constraints using the absolute nodal coordinates
- Description of elastic forces in absolute nodal coordinate formulation
- Definition of the elastic forces in the finite element absolute nodal coordinate formulation and the floating frame of reference formulation
- Analysis of large flexible body deformation in multibody systems using absolute coordinates
- A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications
- Modeling of belt-drives using a large deformation finite element formulation
- Three-dimensional beam element based on a cross-sectional coordinate system approach
- An internal damping model for the absolute nodal coordinate formulation
- The role of non-linear theories in transient dynamic analysis of flexible structures
- Geometric non-linear substructuring for dynamics of flexible mechanical systems
This page was built for publication: A new locking-free shear deformable finite element based on absolute nodal coordinates