A novel approach in the direct kinematics of Stewart platform mechanisms with planar platforms

Journal of Mechanical Design

Volumn 128, Issue 1, 2006, Pages 252-263

  Akcali I D ^a   Mutlu, H ^b  

^a CUKUROVA UNIVERSITY   (Turkey)

^b MERSIN UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL GEOMETRY; MATHEMATICAL MODELS; MECHANISMS; RIGIDITY; SET THEORY;

DIRECT KINEMATICS; PLANAR PLATFORMS; PLATFORM MECHANISMS;

KINEMATICS;

EID: 33645774987     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1864114     Document Type: Article

References (21)

1. Volmer, J., 1979, Getribetechnik, Koppelgetriebe, Veb Verlag Technik, Berlin.
2. Groover, P. M., Weis, M., Nagel, R. N., and Odrey, N. G., 1986, Industrial Robotics, Technology, Programming and Applications, McGraw-Hill, New York.
3. Koren, Y., 1987, Robotics for Engineers, McGraw-Hill, New York.
4. Fu, K. S., Gonzales, R. C., and Lee, C. S. G., 1987, Robotics: Controls Sensing, Vision and Intelligence, McGraw-Hill, New York.
5. Stadtler, W., 1995, Analytical Robotics and Mechatronics, McGraw-Hill, New York.
6. Innocenti, C., and Parenti-Castelli, V., 1990, "Direct Position Analysis of The Stewart Platform Mechanism," Mech. Mach. Theory, 25(6), pp. 611-621.
7. Innocenti, C., and Parenti-Castelli, V., 1991, "Echelon Form Solution of Direct Kinematics for The General Fully-Parallel Spherical Wrist," Mech. Mach. Theory, 28(4), pp. 553-561.
8. Duffy, J., 1996, Statics and Kinematics With Application to Robotics. Cambridge University Press, Cambridge.
9. Gosselin, C. M., and Merlet, I. P., 1994, "The Direct Kinematics of Planar Parallel Manipulators: Special Architectures And Number of Solutions," Mech. Mach. Theory, 29(8), pp. 1083-1097.
10. Harris, D. M. J., 1995, "Parallel-Linkage Robot Coordinate Transformation Through Screw Theory," Proc. 9th World Congress on the Theory of Mech. Mach., Milano, Vol. 3, pp. 1565-1568.
11. Baron, L., and Angeles, J., 1995, "A Linear Algebraic Solution of the Direct Kinematics of Parallel Manipulators Using a Camera," Proc. 9th World Congress on the Theory of Mech. Mach, Milano, Vol. 3, pp. 1925-1929.
12. Tancredi, L., Teilland, M., and Merlet, J. P., 1995, "Extra Sensors for Solving the Forward Kinematics Problem of Parallel Manipulators," Proc. 9th World Congress on the Theory of Mech. Mach, Milano, Vol. 3, pp. 2122-2126.
13. Joshi, S. A., and Tsai, L. W., 2003, "The Kinematics of a Class of 3-DOF, 4-Legged Parallel Manipulators," ASME J. Mech. Des., 125(1), pp. 52-50.
14. Tsai, M. S., Shiau, T. N., and Tsai, Y. J., 2003, "Chang, T. H., Direct Kinematic Analysis of a 3-PRS Parallel Mechanism," Mech. Mach. Theory, 38, pp. 71-83.
15. Liang, C., Han, L., and Wen, F., 1995, "Forward Displacement Analysis of the 5-6 Stewart Platforms," Proc. 9th World Congress on the Theory of Mech. Mach, Milano, pp. 184-187.
16. Ku, D. M., 1999, "Direct Displacement Analysis of a Stewart Platform Mechanism," Mech. Mach. Theory, 34, pp. 453-465.
17. Lee, T. Y., and Shim, J. K., 2001, "Forward Kinematics of the General 6-6 Stewart Platform Using Algebraic Elimination," Mech. Mach. Theory, 36, pp. 1073-1085.
18. Griffis, M., and Duffy, J., 1989, "A Forward Displacement Analysis of a Class of Stewart Platforms," J. Rob. Syst., 6, pp. 703-720.
19. Wang, J., and Gosselin, C. M., 2004, "Kinematic Analysis and Design of Kinematically Redundant Parallel Mechanisms," ASME J. Mech. Des., 126(1), pp. 109-118.
20. Callegari, M., and Tarantini, M., 2003, "Kinematic Analysis of a Novel Translational Platform," ASME J. Mech. Des., 125(2), pp. 308-315.
21. Carricato, M., and Parenti-Castelli, V., 2003, "A Family of 3-DOF Translational Parallel Manipulators," ASME J. Mech. Des., 125(2), pp. 302-307.