A rotationless formulation of multibody dynamics: Modeling of screw joints and incorporation of control constraints

Multibody System Dynamics

Volumn 22, Issue 1, 2009, Pages 69-95

  Uhlar, Stefan ^a   Betsch, Peter ^a  

^a UNIVERSITY OF SIEGEN   (Germany)

Author keywords

Coordinate augmentation; Differential algebraic equations; Forward dynamics; Inverse dynamics; Mechanical integrator

Indexed keywords

COORDINATE AUGMENTATION; DIFFERENTIAL-ALGEBRAIC EQUATIONS; FORWARD DYNAMICS; INVERSE DYNAMICS; MECHANICAL INTEGRATOR;

ALGEBRA; ENERGY CONSERVATION; EQUATIONS OF MOTION; INVERSE PROBLEMS; LARGE SCALE SYSTEMS; TIRES;

VIBRATIONS (MECHANICAL);

EID: 68249154904     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-009-9149-3     Document Type: Article

References (20)

1. O. Gonzalez J.C. Simo 1996 On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry Comput. Methods Appl. Mech. Eng. 134 197 222
2. A. Ibrahimbegović S. Mamouri R.L. Taylor A.J. Chen 2000 Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes Multibody Syst. Dyn. 4 2-3 195 223
3. C.L. Bottasso L. Trainelli 2004 An attempt at the classification of energy decaying schemes for structural and multibody dynamics Multibody Syst. Dyn. 12 2 173 185
4. E. Lens A. Cardona 2007 An energy preserving/decaying scheme for nonlinearly constrained multibody systems Multibody Syst. Dyn. 18 3 435 470
5. P. Betsch S. Leyendecker 2006 The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics Int. J. Numer. Methods Eng. 67 4 499 552
6. P. Betsch 2005 The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints Comput. Methods Appl. Mech. Eng. 194 50-52 5159 5190
7. S. Leyendecker P. Betsch P. Steinmann 2008 The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics Multibody Syst. Dyn. 19 1-2 45 72
8. P. Betsch S. Uhlar 2007 Energy-momentum conserving integration of multibody dynamics Multibody Syst. Dyn. 17 4 243 289
9. S. Uhlar P. Betsch 2008 Conserving integrators for parallel manipulators J.-H. Ryu Parallel Manipulators I-Tech Education and Publishing Vienna 75 108 Chap. 5, www.books.i-techonline.com
10. García de Jalón, J., Bayo, E.: Kinematic and Dynamic Simulation of Multibody Systems: The Real-Time Challenge. Springer, Berlin (1994)
11. Géradin, M., Cardona, A.: Flexible Multibody Dynamics: A Finite Element Approach. Wiley, New York (2001)
12. O.A. Bauchau C.L. Bottasso 2001 Contact conditions for cylindrical, prismatic, and screw joints in flexible multibody systems Multibody Syst. Dyn. 5 251 278
13. C.L. Bottasso A. Croce 2004 Optimal control of multibody systems using an energy preserving direct transcription method Multibody Syst. Dyn. 12 1 17 45
14. W. Blajer K. Kołodziejczyk 2004 A geometric approach to solving problems of control constraints: Theory and a DAE framework Multibody Syst. Dyn. 11 4 343 364
15. P. Betsch P. Steinmann 2001 Constrained integration of rigid body dynamics Comput. Methods Appl. Mech. Eng. 191 467 488
16. J. García de Jalón 2007 Twenty-five years of natural coordinates Multibody Syst. Dyn. 18 1 15 33
17. O. Gonzalez 1999 Mechanical systems subject to holonomic constraints: Differential-algebraic formulations and conservative integration Physica D 132 165 174
18. P. Betsch P. Steinmann 2002 Conservation properties of a time FE method. Part III: Mechanical systems with holonomic constraints Int. J. Numer. Methods Eng. 53 2271 2304
19. O. Gonzalez 1996 Time integration and discrete Hamiltonian systems J. Nonlinear Sci. 6 449 467
20. D. Greenspan 1984 Conservative numerical methods for ẍ = f(x) J. Comput. Phys. 56 28 41