Non-linear dynamics of flexible multibody systems

Computers and Structures

Volumn 81, Issue 12, 2003, Pages 1113-1132

  Ibrahimbegovic, Adnan ^a   Taylor, Robert L ^b   Lim, H ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; SYSTEMS ANALYSIS;

FLEXIBLE MULTIBODY SYSTEMS;

FLEXIBLE STRUCTURES;

EID: 0037402443     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(03)00032-4     Document Type: Article

References (42)

1. Ambrosio JAC, Kleiber M. Computational aspects of nonlinear structural systems with large rigid body motion. Proceedings NATO ARW. IOS Press; 2001.
2. Argyris J.H. Excursion into large rotations. Comput. Appl. Mech. Eng. 32:1982;85-155.
3. Armero F., Romero I. 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. Comput. Appl. Mech. Eng. 190:2001;2601-2649.
4. Arnold V.I. Mathematical methods of classical mechanics. 1989;Springer-Verlag, Berlin.
5. Bathe K.J., Bolourchi S. Large displacement analysis of 3d beam structures. Int. J. Numer. Meth. Eng. 14:1979;961-986.
6. Belytschko T., Hsieh B.J. Nonlinear transient finite element analysis with convected coordinates. Int. J. Numer. Meth. Eng. 7:1973;255-271.
7. Belytschko T., Yen H.J., Mullen R. Mixed methods for time integration. Comput. Meth. Appl. Mech. Eng. 17/18:1979;259-275.
8. Cardona A., Geradin M., Doan D.B. Rigid and flexible joint modelling in multibody dynamics using finite elements. Comput. Meth. Appl. Mech. Eng. 89:1991;395-418.
9. Crisfield MA. Nonlinear finite element analysis of structures, vol. II. John Wiley; 1999.
10. Fraeijs de Veubeke B.J. The dynamics of flexible bodies. Int. J. Eng. Sci. 14:1976;895-913.
11. Gantes C.J. Deployable structures: analysis and design. 2000;MIT Press.
12. Goldstein H. Classical mechanics. 1980;Addison-Wesley Publ Co, Reading MA.
13. Hairier E., Wanner G. Solving ordinary differential equations: stiff and differential-algebraic problems. 1991;Springer, Berlin.
14. Hughes P.C. Space attitude dynamics. 1986;John Wiley.
15. Hughes T.J.R., Pister K.S., Taylor R.L. Implicit-explicit finite elements in nonlinear transient analysis. Comput. Meth. Appl. Mech. Eng. 17/18:1979;159-182.
16. Hulbert GM. Efficient and robust computational algorithms for the solution of nonlinear flexible multibody systems. In: Ambrosio J, Kleiber M, editors. Computational aspects of nonlinear structural systems with large rigid body motion, IOS Press 2000. p. 141-53.
17. Huston R.L. Multibody dynamics-modeling and analysis methods. ASME Appl. Mech. Rev. 44:1991;109-117.
18. Ibrahimbegovic A. On finite element implementation of geometrically nonlinear reissner's beam theory: three dimensional curved beam element. Comput. Meth. Appl. Mech. Eng. 112:1995;11-26.
19. Ibrahimbegovic A. On the choice of finite rotation parameters. Comput. Meth. Appl. Mech. Eng. 149:1997;49-71.
20. Ibrahimbegovic A. Stress resultant geometrically exact shell theory for finite rotations and its finite element implementation. ASME Appl. Mech. Rev. 50:1997;199-266.
21. Ibrahimbegovic A., Al Mikdad M. Finite rotations in dynamics of beams and implicit time-stepping schemes. Int. J. Numer. Meth. Eng. 41:1998;781-814.
22. Ibrahimbegovic A., Brank B., Courtois P. Stress resultant geometrically exact form of classical shell model and vector-like parametrization of constrained finite rotations. Int. J. Numer. Meth. Eng. 2000.
23. Ibrahimbegovic A., Mamouri S. On rigid components and joint constraints in nonlinear dynamics of flexible multibody systems employing 3d geometrically exact beam model. Comput. Meth. Appl. Mech. Eng. 188:2000;805-831.
24. Ibrahimbegovic A., Mamouri S. Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of 3d beams undergoing finite rotations. Comput. Meth. Appl. Mech. Eng. 191:2002;4241-4258.
25. Ibrahimbegovic A, Mamouri S, Taylor RL, Chen AJ. Finite element method in dynamics of flexible multi body systems. Modeling of holonomic constraints and energy conserving integration schemes, in: Cardona A, Geradin M, Ibrahimbegovic A, editors, J Multibody Sys Dynamics 2000;4:195-223 [special issue].
26. Ibrahimbegovic A, Schiehlen W. Computational techniques and applications in nonlinear dynamics of structures and multibody systems. Proceedings EUROMECH 427, LMT-Cachan ENS-Cachan, 2001.
27. Kane T., Ryan R., Baerjee A. Dynamics of a cantilever beam attached to a moving base. AIAA J. Guidance, Control Dynamics. 10:1997;139-151.
28. Lim H., Taylor R.L. An explicit-implicit method for flexible-rigid multibody systems. Finite Elements Analy. Des. 37:2001;881-900.
29. Love E.H. A treatise of the mathematical theory of elasticity. 1940;Dover.
30. Marsden J.E., Hughes T.J.R. Mathematical foundations of elasticity. 1983;Prentice Hall.
31. Reissner E. On one dimensional large-displacement finite strain beam theory. Struc. Appl. Math. 52:1973;87-95.
32. Simo J.C. A finite strain beam formulation. Part 1. Comput. Meth. Appl. Mech. Eng. 49:1985;55-70.
33. Simo J.C., González O. Recent results on the numerical integration of infinite dimensional hamiltonian systems. Recent developments in finite element analysis: a book dedicated to R.L. Taylor. 1994;CIMNE, Barcelona Spain.
34. Simo J.C., Hughes T.J.R. Computational inelasticity. 1996;Springer.
35. Simo J.C., Tarnow N. The discrete energy-momentum method: conserving algorithm for nonlinear elastodynamics. ZAMP. 43:1992;757-793.
36. Simo J.C., Tarnow N., Doblare M. Nonlinear dynamics of three-dimensional rods: exact energy and momentum conserving algorithm. Int. J. Numer. Meth. Eng. 38:1995;1431-1473.
37. Simo J.C., Wong K.K. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum. Int. J. Numer. Meth. Eng. 31:1991;19-52.
38. Spong M.W., Vidyasagar M. Robot dynamics and control. 1989;John Wiley.
39. Strang G., Fix G.J. An analysis of the finite element method. 1973;Prentice-Hall.
40. Tamma K.K., Namburu R.R. An explicit velocity-based Lax-Wendroff/Taylor-Galerkin methodology of computation for the dynamics of structures. Comput. Struct. 30:1988;1017-1024.
41. Tamma K.K., Namburu R.R. A robust self-starting explicit computational methodology for structural dynamic applications: architecture and representations. Int. J. Numer. Meth. Eng. 30:1990;1441-1454.
42. Zienkiewicz OC, Taylor RL. The finite element method, vols. I, II and III. 50th ed. Butterworth-Heinemann; 2000.