Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 6 B, Issue , 2005, Pages 1341-1349

  Schwab, A L ^a   Meijaard, J P ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; PROBLEM SOLVING; TORSIONAL STRESS;

DYNAMIC ANALYSIS; HELLINGER-REISSNER PRINCIPLE;

DYNAMICS;

EID: 33244462428     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-85104     Document Type: Conference Paper

References (14)

1. Fraeijs de Veubeke, B., 'The dynamics of flexible bodies', International Journal of Engineering Science 14, 1976, pp.895-913.
2. Shabana, A. A., and Wehage, R. A., 'Variable degree-of-freedom component mode analysis of inertia variant flexible mechanical systems', ASME Journal of Mechanisms, Transmissions, and Automation in Design 105, 1983, pp.371-378.
3. Wallrapp, O., and Schwertassek, R., 'Representation of geometric stiffening in multibody system simulation', International Journal for Numerical Methods in Engineering 32, 1991, pp.1833-1850.
4. Werff, K. van der, and Jonker, J. B., 'Dynamics of flexible mechanisms', in Computer aided analysis and optimization of mechanical system dynamics, Haug, E. J. (ed.), Springer-Verlag, Berlin, 1984, pp.381-400.
5. Jonker, J. B., and Meijaard, J. P., 'SPACAR-Computer program for dynamic analysis of flexible spatial mechanisms and manipulators', in Multibody Systems Handbook, Schiehlen, W. O. (ed.), Springer-Verlag, Berlin, 1990, pp. 123-143.
6. Meijaard, J. P., 'Validation of flexible beam elements in dynamics programs', Nonlinear Dynamics 9, 1996, pp. 21-36.
7. Shabana, A. A., 'Flexible multibody dynamics: review of past and recent developments', Multibody System Dynamics 1, 1997, pp. 189-222.
8. Shabana, A. A., and Yakoub, R. A., 'Three Dimensional absolute nodal coordinate formulation for beam elements: theory', ASME Journal of Mechanical Design 123, 2001, pp. 606-613.
9. Yakoub, R. A., and Shabana, A. A., 'Three Dimensional absolute nodal coordinate formulation for beam elements: implementation and applications', ASME Journal of Mechanical Design 123, 2001, pp. 614-621.
10. Reissner, E., 'On a variational theorem for finite elastic deformations' , Journal of Mathematics and Physics 32, 1953, pp. 129-135.
11. Cowper, G. R., 'The shear coefficient in Timoshenko's beam theory', ASME Journal of Applied Mechanics 33, 1966, pp.335-340.
12. Przemieniecki, J. S.,Theory of Matrix Structural Analysis, McGraw-Hill, New York, 1968.
13. Argyris, J. H., 'Continua and discontunia, an aperçu of recent developments of the matrix displacement methods', in Matrix Methods in Structural Mechanics, J. S. Przemienniecki, et al. (eds.), Wright-Patterson Air Force Base, Dayton, Ohio, 1966, pp. 11-189.
14. Timoshenko, S. P., and Goodier, J. N., Theory of Elasticity, McGraw-Hill, New York, 1987.