Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 37-38, 2002, Pages 4241-4258

  Ibrahimbegovic, Adnan ^a   Mamouri, Said ^b  

^a Grande Voie des Vignes   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY CONSERVATION; FINITE ELEMENT METHOD;

ENERGY DECAY;

ROTATION;

BEAM;

EID: 0037119515     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00377-8     Document Type: Article

References (30)

1. Computational aspects of nonlinear structural systems with large rigid body motion
2. Excursion into large rotations
3. On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics, Part I: Low-order methods for two model problems and nonlinear elastodynamics
4. Computational schemes for nonlinear elastodynamics
5. Energy decaying scheme for non-linear beam models
6. A novel momentum-preserving energy-decaying algorithm for finite element multibody procedures
7. Integrating finite rotations
8. Time integration of the equations of motion in mechanism analysis
9. Extended papers selected from the special session of multibody system dynamics held at 4th wccm
10. Dynamics of 3-d co-rotational beams
11. Parametrization of finite rotations in computational dynamics
12. Improved numerical dissipation for time integration algorithms in structural dynamics
13. The finite element methods for structural dynamics
14. Efficient and robust computational algorithms for the solution of nonlinear flexible multibody systems
15. On finite element implementation of geometrically nonlinear Reissner's beam theory: Three dimensional curved beam element
16. Finite rotations in dynamics of beams and implicit time-stepping schemes
17. Computational aspects of vector-like parameterization of three dimensional finite rotations
18. On rigid components and joint constraints in nonlinear dynamics of flexible multibody systems employing 3D geometrically exact beam model
19. Nonlinear dynamics of flexible beams in planar motion: Formulation and tine-stepping schemes for stiff problems
20. Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes
21. Interpolation of rotational variables in non-linear dynamics of 3D beams
22. Modified HHT dissipation scheme for beams undergoing finite rotations
23. On one dimensional large-displacement finite strain beam theory
24. A finite strain beam formulation
25. Nonlinear dynamics of three-dimensional rods: Exact energy and momentum conserving algorithm