Computational Schemes for Flexible, Nonlinear Multi-Body Systems

Multibody System Dynamics

Volumn 2, Issue 2, 1998, Pages 169-225

  Bauchau, Olivier A ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

Flexible multi body systems; Time integration schemes

Indexed keywords

EID: 0040492318     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009710818135     Document Type: Article

References (22)

1. Hughes, T.J.R., 'Analysis of transient algorithms with particular reference to stability behavior', in Computational Methods for Transient Analysis, T. Belytschko and T.J.R. Hughes (eds), North Holland, Amsterdam, 1983, 67-155.
2. Newmark, N.M., 'A method of computation for structural dynamics', Journal of the Engineering Mechanics Division 85, 1959, 67-94.
3. Hughes, T.J.R., The Finite Element Method, Prentice Hall, Englewood Cliffs, NJ, 1992.
4. Hilber, H.M., Hughes, T.J.R. and Taylor, R.L., 'Improved numerical dissipation for time integration algorithms in structural dynamics', Earthquake Engineering and Structural Dynamics 5, 1977, 282-292.
5. Chung, J. and Hulbert, G.M., 'A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method', Journal of Applied Mechanics 122, 1995, 254-266.
6. Simo, J.C. and Wong, K., 'Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum', International Journal for Numerical Methods in Engineering 31, 1991, 19-52.
7. Simo, J.C. and Tarnow, N., 'The discrete energy-momentum method, conserving algorithms for nonlinear dynamics', Zeitschrift für Angewandte Mathematik und Physik, ZAMP 43, 1992, 757-792.
8. Simo, J.C., Tarnow, N. and Doblare, M., 'Non-linear dynamics of three-dimensional rods: Exact energy and momentum conserving algorithms', International Journal of Numerical Methods in Engineering 38, 1995, 1431-1473.
9. Bauchau, O.A., Damilano, G. and Theron, N.J., 'Numerical integration of nonlinear elastic multi-body systems', International Journal of Numerical Methods in Engineering 38, 1995, 2727-2751.
10. Johnson, C., Numerical Solutions of Partial Differential Equations by the Finite Element Method, Cambridge University Press, Cambridge, 1987.
11. Johnson, C., Nävert, U. and Pitkäranta, V., 'Finite element methods for linear hyperbolic problems', Computer Methods in Applied Mechanics and Engineering 45, 1984, 285-312.
12. Johnson, C. and Szepessy, W., 'Convergence of a finite element method for a nonlinear hyperbolic conservation law', Technical Report 1985-25, Mathematics Department, Chalmers University of Technology, Goteborg, Sweden, 1985.
13. Hughes, T.R.J. and Hulbert, M., 'Space-time finite element formulations for elasto-dynamics: Formulation and error estimates', Computer Methods in Applied Mechanics and Engineering 66, 1988, 339-363.
14. Hulbert, M., 'Space-time finite element methods for second-order hyperbolic equations', Ph.D. Thesis, Stanford University, 1989.
15. Bauchau, O.A. and Theron, N.J., 'Energy decaying scheme for non-linear beam models', Computer Methods in Applied Mechanics and Engineering 134, 1996, 37-56.
16. Bauchau, O.A. and Joo, T., 'Computational schemes for nonlinear elasto-dynamics', International Journal for Numerical Methods in Engineering, 1998, to appear.
17. Bauchau, O.A. and Theron, N.J., 'Energy decaying schemes for nonlinear elastic multi-body systems', Computers and Structures 59, 1996, 317-331.
18. Bottasso, C.L. and Borri, M., 'Energy preserving/decaying schemes for nonlinear beam dynamics using the helicoidal approximation', Computer Methods in Applied Mechanics and Engineering 143, 1997, 393-415.
19. Bottasso, C.L. and Borri, M., 'Integrating finite rotations', Computer Methods in Applied Mechanics and Engineering, 1998, to appear.
20. Bottasso, C.L., Borri, M. and Trainelli, L., 'Integration of elastic multibody systems using invariant preserving/dissipating schemes. Parts I & II', Multibody System Dynamics, 1998, to appear.
21. Lanczos, C., The Variational Principles of Mechanics, Dover Publications, New York, 1970.
22. Kane, T.R. and Levinson, D. A., Dynamics: Theory and Applications, McGraw-Hill, New York, 1985.