A fully symbolic generation of the equations of motion of multibody systems containing flexible beams

Computer Methods in Applied Mechanics and Engineering

Volumn 142, Issue 1-2, 1997, Pages 123-152

  Fisette, P ^a   Johnson, D A ^a   Samin, J C ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; RECURSIVE FUNCTIONS; STRUCTURAL ANALYSIS;

FLEXIBLE BEAMS; MULTIBODY SYSTEMS; STAND ALONE PROGRAM ROBOTRAN;

FLEXIBLE STRUCTURES;

EID: 0031096104     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01127-9     Document Type: Article

References (24)

1. P. Maes, J.C. Samin and P.Y. Willems, Robotran, in: W. Schiehlen, ed., Multibody System Handbook (Springer-Verlag, Berlin, 1989) 225-245.
2. J. Wittenburg, Dynamics of Systems of Rigid Bodies (Teuber, Stuttgart, 1977).
3. R.E. Roberson and R. Schwertassek, Dynamics of Multibody Systems (Springer-Verlag, Berlin, 1988).
4. E.J. Haug, Computer Aided Kinematics and Dynamics of Mechanical Systems (Allyn and Bacon, Boston, 1989).
5. W. Schiehlen, ed., Multibody Systems Handbook (Springer-Verlag, Berlin, 1989).
6. T.R. Kane, P.R. Ryan and A.K. Banerjee, Dynamics of a cantilever beam attached to a moving base, J. Guid. Control Dyn. 10 (1987) 139-151.
7. O. Wallrapp and R. Schwertassek, Representation of geometric stiffening in multibody system simulation, Int. J. Numer. Methods Engrg. 32 (1991) 1833-1850.
8. J.C. Simo and L. Vu-Quoc, On the dynamic of flexible beams under large overall motions - the Plane Case, Parts 1 and 2, ASME J. Appl. Mech. 53 (1986) 849-863.
9. M. Géradin and A. Cardona, A beam finite element non-linear theory with finite rotations, Int. J. Numer. Methods Engrg. 26 (1988) 2403-2438.
10. A. Cardona, M. Géradin, D. Granville and V. Raeymaekers, Module d'analyse de mécansimes flexibles MECANO: Manuel d'utilisation LTAS report, University of Liege, Belgium, 1988.
11. M. Renaud, Quasi-minimal computation of the dynamic model of a robot manipulator utilizing the Newton-Euler formalism and the notion of augmented body, Proc. IEEE International Conference on Robotics and Automation, Raleigh, North Carolina (1987), 1677-1682.
12. K. Changizi and A.A. Shabana. A recursive formulation for the dynamic analysis of open loop deformable multibody systems, J. Appl. Mech. 55 (1988) 687-693.
13. P. Fisette and J.C. Samin, Symbolic generation of large multibody system dynamic equations using a new semi-explicit Newton-Euler recursive scheme, Archive Appl. Mech. 66 (1996) 187-199.
14. P. Fisette, J.C. Samin and P.Y. Willems, Contribution to symbolic analysis of deformable multibody systems, Int. J. Numer. Methods Engrg. 32 (1991) 1621-1635.
15. C.W. Jen, D.A. Johnson and F. Dubois, Numerical modal analysis if structures based on a revised substructure synthesis approach, J. Sound Vib. 180(2) (1995) 185-203.
16. F. Melzer, Symbolic computation in flexible multibody systems, Proc. NATO-Advanced Study Institute 2 (1993) (Troia, Portugal) 365-381.
17. P. Fisette, Génération symbolique des équations du mouvement de systèmes multicorps et application dans le domaine ferroviaire, Ph.D. Thesis, UCL, Louvain-la-Neuve, Belgium, 1994.
18. P. Fisette and B. Vaneghem, Numerical Integration of multibody system dynamic equations using the coordinate partitioning method in an implicit Newmark scheme, Comput. Methods Appl. Mech. Engrg., to appear.
19. P.Y. Willems, Introduction à la Mécanique (Paris, Masson, 1979).
20. P. Fisette and J.C. Samin, Symbolic generation of a multibody formalism of order N - Extension to closed-loop systems using the coordinate partitioning method. Int. Numer. Methods Engrg., to appear.
21. M. Otter and C. Schlegel, Symbolic generation of efficient simulation codes for robots, Proceeding of Second European Multiconference (Nice, France, 1988) 119-122.
22. R.L. Huston and Y. Wang, Flexibility effects in multibody systems, in: M. Pereira and J. Ambrosio, eds., NATO ASI Series, Applied Sciences 268 (Kluwer Academic Publishers. Dordrecht, 1993) 351-376.
23. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer Series in Computational Methamits 14 (Springer Verlag, 1991).
24. M. Jahnke, K. Popp and B. Dirr, Approximate analysis of flexible parts in multibody systems using the finite element methods. Advanced Multibody System Dynamics (Kluwer Academic Publishers, Dordrecht, 1993) 237-256.