Component mode synthesis with constant mass and stiffness matrices applied to flexible multibody systems

International Journal for Numerical Methods in Engineering

Volumn 73, Issue 11, 2008, Pages 1518-1546

  Gerstmayr, Johannes ^a   Ambrosio J A C ^b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Absolute coordinate formulation; Component mode synthesis; Contact; Finite elements; Multibody systems

Indexed keywords

COMPUTATIONAL COMPLEXITY; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; LINEARIZATION; STIFFNESS; STRUCTURAL FRAMES;

ABSOLUTE COORDINATE FORMULATION; COMPONENT MODE SYNTHESIS; FLEXIBLE MULTIBODY SYSTEM;

FLEXIBLE STRUCTURES;

COMPUTATIONAL COMPLEXITY; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FLEXIBLE STRUCTURES; LINEARIZATION; STIFFNESS; STRUCTURAL FRAMES;

EID: 41049107880     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2133     Document Type: Article

References (23)

1. Craig Jr RR, Bampton MCC. Coupling of substructures for dynamic analyses. AIAA Journal 1968; 6(7): 1313-1319.
2. Song JO, Haug EJ. Dynamic analysis of planar flexible mechanisms. Computer Methods in Applied Mechanics and Engineering 1980; 24:359-381.
3. Shabana AA, Wehage RA. A coordinate reduction technique for transient analysis of spatial structures with large angular rotations. Journal of Structural Mechanics 1983; 11(3):401-431.
4. Géradin M, Cardona A. Flexible Multibody Dynamics - A Finite Element Approach. Wiley: New York, 2001.
5. Géradin M, Cardona A. Modelling of superelements in mechanism analysis. International Journal for Numerical Methods in Engineering 1991; 32(8):1565-1593.
6. Ambrósio JAC. Geometric and material non-linear deformations in flexible multibody systems. In Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion, Ambrósio JAC, Kleiber M (eds). IOS: Amsterdam, The Netherlands, 2001; 3-28.
7. Cardona A, Géradin M. A beam finite element non-linear theory with finite rotations. International Journal for Numerical Methods in Engineering 1988; 26:2403-2438.
8. Ambrósio JAC, Nikravesh P. Elasto-plastic deformations in multibody dynamics. Nonlinear Dynamics 1992; 3:85-104.
9. Shabana AA. Dynamics of Multibody Systems (3rd edn). Cambridge University Press: New York, 2005.
10. Yakoub RY, Shabana AA. Three dimensional absolute nodal coordinate formulation for beam elements. Journal of Mechanical Design (ASME) 2001; 123:606-621.
11. Mikkola AK, Shabana AA. A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications. Multibody System Dynamics 2003; 9:283-309.
12. Gerstmayr J, Shabana AA. Analysis of higher and lower order elements for the absolute nodal coordinate formulation. In Proceedings of ASME 2005 International Design Engineering Technical Conferences, Long Beach, CA, Paper Number DETC2005-84827, 2005.
13. Gerstmayr J, Schöberl J. A 3D finite element approach to flexible multibody systems. Multibody System Dynamics 2006; 15:309-324.
14. Gerstmayr J. Strain tensors in the absolute nodal coordinate and the floating frame of reference formulation. International Journal of Nonlinear Dynamics 2003; 34:133-145.
15. Felippa CA, Haugen B. A unified formulation of small-strain corotational finite elements: I. Theory. Computational Methods in Applied Mechanics and Engineering 2005; 194:2285-2335.
16. Wempner GA. Finite elements, finite rotations and small strains of flexible shells. International Journal of Solids and Structures 1969; 5:117-153.
17. Belytschko T, Hsieh BJ. Non-linear transient finite element analysis with convected co-ordinates. International Journal for Numerical Methods in Engineering 1973; 7:255-271.
18. Crisfield MA. Nonlinear Finite Element Analysis of Solids and Structures, vol. I and 2. Wiley: Chichester, 1997.
19. Gerstmayr J. The absolute coordinate formulation with reduced strain for the efficient simulation of flexible multibody systems with nonlinear constraints. In Proceedings of the ECCOMAS 2004, Jyväskylä, Helsinki, Neittaanmäki P, Rossi T, Korotov S, On̈ate E, Périaux J, Knörzer D (eds). 2004.
20. Gerstmayr J. The absolute nodal coordinate formulation with elasto-plastic deformations. In Proceedings of the Multibody Dynamics 2003 Conference, Lisbon, Portugal, Ambrósio JAC (ed.). 2003.
21. Newmark NM. A method of computation for structural dynamics. Journal of the Engineering Mechanics Division (ASCE) 1959; 85:67-94.
22. Bathe KJ. Finite Element Procedures in Engineering Analysis. Prentice-Hall: Englewood Cliffs, NJ, 1982.
23. Ambrósio JAC, Goncalves JPC. Vehicle crashworthiness design and analysis by means of nonlinear flexible multibody dynamics. International Journal of Vehicle Design 2001; 26(4):309-330.