Kinematics and singularity analyses of a 4-dof parallel manipulator using screw theory

Mechanism and Machine Theory

Volumn 41, Issue 9, 2006, Pages 1048-1061

  Gallardo Alvarado, Jaime ^a   Rico Martínez, José María ^a   Alici, Gürsel ^b  

^a DEPARTAMENTO DE INGENIERÍA QUÍMICA   (Mexico)

^b UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Kinematics; Klein form; Parallel manipulator; Screw theory

Indexed keywords

COMPUTER SIMULATION; ELECTRIC MACHINE THEORY; INVERSE KINEMATICS; MANIPULATORS; NUMERICAL ANALYSIS; POSITION CONTROL; VECTORS;

4-DOF PARALLEL MANIPULATOR; FORWARD POSITION EQUATIONS; KLEIN FORM; SCREW THEORY;

SCREWS;

EID: 33745494372     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2005.10.012     Document Type: Article

References (20)

1. Parenti-Castelli V., and Di Gregorio R. Determination of the actual configuration of the general Stewart platform using only one additional sensor. ASME Journal of Mechanical Design 121 (1999) 21-25
2. Gosselin C.M., and Angeles J. The optimum kinematic design of a planar three-degree-of-freedom parallel manipulator. ASME Journal of Mechanisms, Transmissions and Automation in Design 110 (1988) 35-41
3. Carretero J.A., Podhorodeski R.P., Nahon M.A., and Gosselin C.M. Kinematic analysis and optimization of a new three degree-of-freedom spatial parallel manipulators. ASME Journal of Mechanical Design 122 (2000) 17-24
4. Fattah A., and Kasai G. Kinematics and dynamics of a parallel manipulator with a new architecture. Robotica 18 (2000) 535-543
5. Di Gregorio R. A new family of spherical parallel manipulators. Robotica 20 (2002) 353-358
6. Parenti-Castelli V., and Innocenti C. Forward displacements analysis of parallel mechanisms: closed form solution of PRR-3S and PPR-3S structures. ASME Journal of Mechanical Design 114 (1992) 68-73
7. Romdhane L., Affi Z., and Fayet Z.M. Design and singularity analysis of a 3-translational-dof in-parallel manipulator. ASME Journal of Mechanical Design 124 (2002) 419-426
8. Sugimoto K. Kinematic and dynamic analysis of parallel manipulators by means of motor algebra. ASME Journal of Mechanisms, Transmissions, and Automation in Design 109 1 (1987) 3-7
9. Ball R.S. Treatise on the Theory of Screws (1900), Cambridge University Press, New York Reprint 1998
10. J. Gallardo, J.M. Rico, Screw theory and helicoidal fields, in: Proceedings of the 25th Biennial Mechanisms Conference, 1998, CD-Rom, Paper DETC98/MECH-5893.
11. Lipkin H. Time derivatives of screws with applications to dynamics and stiffness. Mechanism and Machine Theory 40 3 (2005) 259-273
12. Brand L. Vector and Tensor Analysis (1947), John Wiley & Sons, New York
13. Rico J.M., and Duffy J. An application of Screw algebra to the acceleration analysis of serial chains. Mechanism and Machine Theory 31 (1996) 445-457
14. Fanghella P., and Galleti C. Metric relations and displacement groups in mechanism and robot kinematics. ASME Journal of Mechanical Design 117 (1995) 470-478
15. L.D. Aguilera, Movilidad de cadenas cinemática de un único lsazo y plataformas paralelas, M.Sc. thesis, Department of Mechanical Engineering, Instituto Tecnológico de Celaya, 2003 (in Spanish).
16. J.M. Rico, L.D. Aguilera, J. Gallardo, R. Rodríguez, H. Orozco, J.M. Barrera, A more general mobility criterion for parallel platforms, in: Proceedings of the ASME 2004 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2004, CD-Rom, Paper DETC2004-57064.
17. Di Gregorio R. Singularity-locus expression of a class of parallel mechanisms. Robotica 20 (2002) 323-328
18. Gosselin C., and Angeles J. Singularity analysis of closed-loop kinematic chains. IEEE Transactions on Robotics and Automation 6 (1990) 281-290
19. Alici G., and Shirinzadeh B. Loci of singular configurations of a 3-DOF spherical parallel manipulator. Journal of Robotics and Autonomous Systems 48 (2004) 77-91
20. Alici G., and Shirinzadeh B. Topology optimization and singularity analysis of a 3-SPS parallel manipulator with a passive constraining spherical joint. Mechanism and Machine Theory 39 2 (2004) 215-235