The absolute coordinate formulation with reduced strain for the efficient simulation of flexible multibody systems with nonlinear constraints

ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

Volumn , Issue , 2004, Pages

  Gerstmayr, Johannes ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Absolute coordinates; Flexible multibody systems; Nonlinear constraints; Reduced strain

Indexed keywords

ABSOLUTE COORDINATE; ABSOLUTE COORDINATE FORMULATIONS; ABSOLUTE NODAL COORDINATE FORMULATION; CO-ROTATED FORMULATION; COMPUTATIONAL ADVANTAGES; FLEXIBLE MULTIBODY SYSTEMS; NON-LINEAR CONSTRAINTS; TIME-INTEGRATION SCHEME;

COMPUTATIONAL METHODS; DAMPING; DEGREES OF FREEDOM (MECHANICS); NEWTON-RAPHSON METHOD; STIFFNESS MATRIX;

DEFORMATION;

EID: 84893519045     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. nd edition, 1998.
2. J. G. de Jalón and E. Bayo. Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge. Springer, New York, 1994.
3. J. C. G. Orden and J. M. Goicolea. Conserving properties in constrained dynamics of flexible multibody systems. Multibody Sys. Dyn., 4, 225-244, 2000.
4. O. C. Zienkiewicz and R. L. Taylor. Volume 2 - solid mechanics. Butterworth Heinemann, London, 2000.
5. T. Belytschko and B.J. Hsieh. Non-linear transient finite element analysis with convected co-ordinates, Int. J. Num. Meth. in Engrg., 7, 255-271, 1973.
6. J. Argyris. An excursion into large rotations, Comp. Meth. Appl. Mech. Engrg., 32, 85-155, 1982.
7. J. Gerstmayr. Strain tensors in the absolute nodal coordinate and the floating frame of reference formulation, Int. J. Nonl. Dyn., 34, 133-145, 2003.
8. J. Gerstmayr and J. Schöberl. A 3D finite element approach to flexible multibody systems. In Eberhardsteiner Mang, Rammerstorfer, editor, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, Austria, 2002.
9. J. Gerstmayr. The absolute nodal coordinate formulation with elasto-plastic deformations. In Proceedings the Multibody Dynamics 2003 conference, J.A.C. Ambrsio (Ed.), Lisbon, Portugal, 2003.
10. J. Gerstmayr. Comparison of the absolute nodal coordinate and the floating frame of reference formulation by means of a simplified strain formulation. In Proceedings of DETC'03 2003 ASME Design Engineering Technical Conferences, Paper Number VIB-48306, New York, 2003.
11. N.M. Newmark. A method of computation for structural dynamics, Journal of the Engrg. Mech. Division, 3, 67-94, 1959.
12. J. Gerstmayr and J. Schöberl. An Implicit Runge-Kutta Based Solver for 3-Dimensional Multibody Systems, PAMM, 3(1), 154-155, 2003.
13. W.-S. Yoo, J.-H. Lee, J.-H. Sohn, S.-J. Park, O. Dmitrochenko, D. Pogorelov. Comparison of physical experiments and computer simulation with ANCF: large deformation of a thin cantilever beam, In Proceedings of DETC'03 ASME Design Engineering Technical Conferences, Paper Number VIB-48307, New York, 2003.
14. H. Sugiyama, J.L. Escalona, A.A. Shabana. Spatial joint constraints in flexible multibody systems using the absolute nodal coordinate formulation, Proceedings of DETC'03 ASME Design Engineering Technical Conferences, Paper Number VIB-48354, New York, 2003.