Formulation of multibody dynamics as complementarity problems

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 A, Issue , 2003, Pages 361-370

  Trinkle, J C ^a  

^a Rensselaer Polytechnic Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; DEGREES OF FREEDOM (MECHANICS); JOINTS (STRUCTURAL COMPONENTS); LINEARIZATION; MATRIX ALGEBRA; PROBLEM SOLVING; PRODUCT DESIGN;

MULTIBODY DYNAMIC SYSTEMS; RELATIVE VELOCITY; REVOLUTE JOINTS;

COMPUTER SCIENCE;

EID: 1842735113     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48342     Document Type: Conference Paper

References (9)

1. M. Anitescu and F.R. Potra. Formulating multi-rigid-body contact problems with friction as solvable linear complementarity problems. ASME Journal of Nonlinear Dynamics, 14:231-247, 1997.
2. G. Boothroyd and A.H. Redford. Mechanized Assembly: Fundamentals of Parts Feeding, Orientation, and Mechanized Assembly. McGraw-Hill, 1968.
3. R. W. Cottle, J.S. Pang, and R. E. Stone. The Linear Complementarity Problem. Academic Press, 1992.
4. S. Goyal. Planar Sliding of a Rigid Body with Dry Friction: Limit Surfaces and Dynamics of Motion. PhD thesis, Cornell University Department of Mechanical Engineering, January 1989.
5. C. Lanczos. The Variational Principles of Mechanics. University of Toronto Press, 1986.
6. J.S. Pang and J.C. Trinkle. Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with coulomb friction. Mathematical Programming, 73:199-226, 1996.
7. D.E. Stewart and J.C. Trinkle. An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and coulomb friction. International Journal of Numerical Methods in Engineering, 39:2673-2691, 1996.
8. J.C. Trinkle, J.S. Pang, S. Sudarsky, and G. Lo. On dynamic multirigid-body contact problems with coulomb friction. Zeitschrift für Angewandte Mathematik und Mechanik, 77(4):267-279, 1997.
9. J.C. Trinkle, J.A. Tzitzouris, and J.S. Pang. Dynamic multi-rigid-body Systems with concurrent distributed contacts: Theory and examples. Philosophical Transactions: Mathematical, Physical, and Engineering Sciences, 359(1789):2575-2593, December 2001.