Frame-indifferent beam finite elements based upon the geometrically exact beam theory

International Journal for Numerical Methods in Engineering

Volumn 54, Issue 12, 2002, Pages 1775-1788

  Betsch, P ^a   Steinmann, P ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

Constraints; Finite rotations; Non linear beam elements

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; GEOMETRY; INTERPOLATION;

BEAM FINITE ELEMENT FORMULATION;

FINITE ELEMENT METHOD;

FINITE ELEMENT METHOD;

EID: 0037199848     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.487     Document Type: Article

References (23)

1. A finite strain beam formulation. The three-dimensional dynamic problem
2. A three-dimensional finite-strain rod model. Part II: Computational aspects
3. Dynamics of earth-orbiting flexible satellites with multibody components
4. On the dynamics in space of rods undergoing large motions - A geometrically exact approach
5. A beam finite element non-linear theory with finite rotations
6. Non-linear dynamics of three-dimensional rods: Exact energy and momentum conserving algorithms
7. Non-linear 'master-slave' relationships for joints in 3D beams with large rotations
8. Interpolation of rotational variables in non-linear dynamics of 3D beams
9. Finite rotations in dynamics of beams and implicit time-stepping schemes
10. Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
11. Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
12. On rigid components and joint constraints in non-linear dynamics of flexible multibody systems employing 3d geometrically exact beam model
13. Dynamic analysis of 3D beams with joints in presence of large rotations
14. On the parameterization of finite rotations in computational mechanics. A classification of concepts with application to smooth shells
15. Conservation properties of a time FE method. Part I: Time-stepping schemes for N-body problems
16. Conservation properties of a time FE method. Part II: Time-stepping schemes for non-linear elastodynamics
17. Conservation properties of a time FE method. Part III: Mechanical systems with holonomic constraints
18. A geometrical non-linear eccentric 3D-beam element with arbitrary cross-sections
19. Theory and numerics of three-dimensional beams with elastoplastic material behaviour