Recursive kinematics and inverse dynamics for a Planar 3R Parallel Manipulator

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 127, Issue 4, 2005, Pages 529-536

  Khan, Waseem A ^a   Krovi, Venkat N ^b   Saha, Subir K ^c   Angeles, Jörge ^a  

^a MCGILL UNIVERSITY   (Canada)

^b State University of New York   (United States)

^c INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE DYNAMICS; PARALLEL MANIPULATORS; RECURSIVE ALGORITHMS; RECURSIVE KINEMATICS;

ALGORITHMS; COMPUTATIONAL METHODS; KINEMATICS; MANIPULATORS; MATHEMATICAL MODELS; ROBOTICS; TOPOLOGY;

PARALLEL PROCESSING SYSTEMS;

EID: 29844445206     PISSN: 00220434     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2098890     Document Type: Article

References (24)

1. Ascher, U., and Petzold, L., 1998, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, SIAM, Philadelphia.
2. García de Jalón, J., and Bayo, E., 1994, Kinematic and Dynamic Simulation of Multibody Systems: The Real-Time Challenge, Springer-Verlag, New York.
3. Haug, E., 1989, Computer Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, Boston.
4. Schiehlen, W., 1990, Multibody Systems Handbook, Springer-Verlag, Berlin.
5. Shabana, A. A., 2001, Computational Dynamics, Wiley, New York.
6. Featherstone, R., 1987, Robot Dynamics Algorithms, Kluwer Academic Publishers, Boston.
7. Kecskemethy, A., Krupp, T., and Hiller, M., 1997, "Symbolic Processing of Multi-Loop Mechanism Dynamics Using Closed Form Kinematic Solutions," Multibody Syst. Dyn., 1(1), pp. 23-45.
8. Murray, R., Li, Z., and Sastry, S., 1994, A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, FL.
9. Wang, J., Gosselin, C. M., and Cheng, L., 2002, "Modelling and Simulation of Closed-Loop Robotic Systems Using the Virtual Spring Approach," Multibody Syst. Dyn., 7(2), pp. 145-170.
10. Stepanenko, Y., and Vukobratovic, M., 1976, "Dynamics of Articulated Open-Chain Active Mechanism," Math. Biosci., 28, pp. 137-170.
11. Orin, D., McGhee, R., Vukobratovic, M., and Hartoch, O., 1979, "Kinematic and Kinetic Analysis of Open-Chain Linkages Utilizing Newton-Euler Methods," Math. Biosci., 43, pp. 107-130.
12. Luh, J., Walker, M., and Paul, R., 1980, "On-Line Computational Schemes for Mechanical Manipulators," ASME J. Dyn. Syst., Meas., Control, 102(2), pp. 69-76.
13. Balafoutis, C., Patel, R., and Cloutier, B., 1988, "Efficient Modelling and Computation of Manipulator Dynamics Using Orthogonal Cartesian Tensors," IEEE J. Rob. Autom. 4, pp. 665-676.
14. He, X., and Goldenberg, A. A., 1990, "An Algorithm for Efficient Computation of Dynamics of Robotic Manipulators," J. Rob. Syst., 7(5), pp. 689-702.
15. Angeles, J., and Lee, S., 1988, "The Formulation of Dynamical Equations of Holonomic Mechanical Systems Using a Natural Orthogonal Complement," ASME J. Appl. Mech., 55, pp. 243-244.
16. Saha, S. K., 1999, "Dynamics of Serial Multibody Systems Using the Decoupled Natural Orthogonal Complement Matrices," ASME J. Appl. Mech., 66, pp. 986-996.
17. Saha, S. K., and Schiehlen, W. O., 2001, "Recursive Kinematics and Dynamics for Parallel Structured Closed-Loop Multibody Systems," Mech. Struct. Mach., 29(2), pp. 143-175.
18. Angeles, J., 2002, Fundamentals of Robotic Mechanical Systems, Springer-Verlag, New York.
19. Saha, S. K., 1997, "A Decomposition of the Manipulator Inertia Matrix," IEEE Trans. Rob. Autom., 13(2), pp. 301-304.
20. Merlet, J.-P., 2000, Parallel Robots, Kluwer Academic Publishers, Dordrecht.
21. Yiu, Y. K., Cheng, H., Xiong, Z. H., Liu, G. F., and Li, Z. X., 2001, "On the Dynamics of Parallel Manipulator," Proc. 2001 ICRA, IEEE International Conference on Robotics and Automation, 4, pp. 3766-3771.
22. Ma, O., and Angeles, J., 1989, "Direct Kinematics and Dynamics of a Planar 3-DOf Parallel Manipulator," Advances in Design Automation, Proc. of 1989 ASME Design and Automation Conference, 3, pp. 313-320.
23. Gosselin, C., and Angeles, J., 1990, "Singularity Analysis of Closed-Loop Kinematic Chains," IEEE Trans. Rob. Autom., 6(3), pp. 281-290.
24. Geike, T., and McPhee, J., 2003, "Inverse Dynamic Analysis of Parallel Manipulators with Full Mobility," Mech. Mach. Theory, 38(6), pp. 549-562.