Elimination of redundant cut joint constraints for multibody system models

Journal of Mechanical Design

Volumn 126, Issue 3, 2004, Pages 488-494

  Muller A ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CONSTRAINT THEORY; KINEMATICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MECHANISMS; TREES (MATHEMATICS); UNIVERSAL JOINTS;

CUT JOINT CONSTRAINTS; KINEMATIC LOOPS; PARADOXIAL MECHANISMS; RIGID MULTIBODY SYSTEMS;

MACHINE DESIGN;

EID: 85041111703     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1737377     Document Type: Article

References (14)

1. Maisser, P., 1991, "A Differential Geometric Approach to the Multibody System Dynamics," ZAMM, Z. angew. Math. Mech., 71(4), pp. 116-119.
2. Murray, R. M., Li, Z., and Sastry, S. S., 1993, A Mathematical Introduction to Robotic Manipulation, CRC Press.
3. Kim, S. S., and Vanderploeg, M. J., 1986, "QR Decomposition for State Space Representation of Constraint Mechanical Dynamical Systems," ASME J. Mech. Des., 108, pp. 183-188.
4. Meijaard, J. P., 1993, "Applications of the Singular Value Decomposition in Dynamics," Comput. Methods Appl. Mech. Eng., 103, pp. 161-173.
5. Sing, R. P., and Likings, P. W., 1985, "Singular Value Decomposition for Constrained Dynamical Systems," ASME J. Appl. Mech., 52, pp. 943-948.
6. Arabyan, A., and Wu, F., 1998, "An Improved Formulation for Constrained Mechanical Systems," Multibody System Dynamics, 2, pp. 49-69.
7. Selig, J. M., 1996, Geometrical Methods in Robotics, Springer.
8. Rico, J. M., and Duffy, J., 1992, "Orthogonal Spaces and Screw Systems," Mech. Mach. Theory, 27, pp. 431-438.
9. Rico, J. M., Gallargo, J., and Ravani, B., 2003, "Lie Algebra and the Mobility of Kinematic Chains," J. Rob. Syst., 20(8), pp. 477-499.
10. Hunt, K. H., 1978, Kinematic Geometry of Mechanism, Oxford University Press.
11. Müller, A., and Maisser, P., 2003, "A Lie Group Formulation of Kinematics and Dynamics of Constrained MBS and Its Application to Analytical Mechanics," Multibody Systems Dynamics, 9, pp. 311-352.
12. McPhee, J. J., 1997, "A Unified Graph-Theoretic Approach to Formulating Multibody Dynamics Equations in Absolute or Joint Coordinates," J. Franklin Inst., 334B(3), pp. 431-445.
13. Rico, J. M., and Ravani, B., 2003, "On Mobility Analysis of Linkages Using Group Theory," ASME J. Mech. Des., 125, pp. 70-80, March.
14. Hervé, J. M., 1978, "Analyze structurelle des mechanismes par groupe des deplacements," Mech. Mach. Theory, 13, pp. 437-450.