Constraint Singularities of Force Transmission in Nonredundant Parallel Robots With Less Than Six Degrees of Freedom

[+] Author and Article Information
Matteo Zoppi, Luca E. Bruzzone, Rezia M. Molfino, Rinaldo C. Michelini

University of Genova, PMAR Robot Design Research Group, Via all’Opera 15A, Genova, 16145, Italia e-mail: {zoppi,bruzzone,molfino,michelini}@dimec.unige.it

J. Mech. Des 125(3), 557-563 (Sep 04, 2003) (7 pages) doi:10.1115/1.1588343 History: Received July 01, 2001; Revised February 01, 2003; Online September 04, 2003
Copyright © 2003 by ASME
Topics: Force , Robots
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Merlet, J. P., 1997, Les Robots Parallèles, Éditions Hermès, Paris.
Merlet, J. P., 1995, “Designing a Parallel Robot for a Specific Workspace,” Computational Kinematics, B. Ravani, and J. P. Merlet, eds., Kluwer Academic Publishers, pp. 203–212.
Merlet, J. P., 1996, “Workspace-Oriented Methodology for Designing a Parallel Manipulator,” IEEE Int. Conf. on Robotics and Automation, Minneapolis, 24–26 April, pp. 3726–3731.
Merlet,  J. P., 1995, “Determination of the Orientation Workspace of Parallel Manipulators,” J. Intell. & Robotic Syst., 13, pp. 143–160.
Ma, O., and Angeles, J., 1991, “Optimum Architecture Design of Platform Manipulators,” Proc. Fifth Intl. Conf. on Advanced Robotics, ICAR ’91, Pisa, Italy, Vol. 2, pp. 1130–1135.
Huang, T., Whitehouse, D., and Wang, J., 1998, “The Local Dexterity, Optimal Architecture and Design Criteria of Parallel Machine Tools,” Proc. of the First European-American Forum on Parallel Kinematic Machines, 31 Aug.–1 Sept., Milano, Italy, pp. 347–351.
Gosselin,  C., and Angeles,  J., 1989, “The Optimum Kinematics Design of a Spherical Three-Degree-of-Freedom Parallel Manipulator,” ASME J. Mech. Transm., Autom. Des., 111, pp. 202–207.
Stamper, R. E., Tsai, L. W., and Walsh, G. C., 1997, “Optimization of a Three Degrees of Freedom Translational Platform for Well-Conditioned Workspace,” Proc. IEEE Intl. Conf. on Robotics and Automation, Albuquerque, New Mexico, USA, April 21–28, pp. 3250–3255.
Park,  J. H., and Asada,  H., 1994, “Concurrent Design Optimization of Mechanical Structure and Control for High Speed Robots,” ASME J. Dyn. Syst., Meas., Control, 116, pp. 244–256.
Zlatanov,  D., Fenton,  R. G., and Benhabib,  B., 1995, “A Unifying Framework for Classification and Interpretation of Mechanism Singularities,” ASME J. Mech. Des., 117, pp. 566–575.
Merlet,  J. P., 1989, “Singular Configurations of Parallel Manipulators and Grassmann Geometry,” Int. J. Robot. Res., 8(5), pp. 45–56.
Zlatanov, D., Bonev, I. A., and Gosselin, C. M., 2002, “Constraint Singularities of Parallel Mechanisms,” IEEE International Conference on Robotics and Automation (ICRA 2002), Washington, D.C., May 11–15, Vol. 1, pp. 496–502.
Zlatanov, D., Bonev, I. A., and Gosselin, C. M., 2002, “Constraint Singularities as C-Space Singularities,” Advances in Robot Kinematics: Theory and Applications, J. Lenarcic, and F. Thomas, eds., Kluwer Academic Publishers, pp. 183–192.
Di Gregorio,  R., and Parenti-Castelli,  V., 2002, “Mobility Analysis of the 3-UPU Parallel Mechanism Assembled for a Pure Translational Motion,” ASME J. Mech. Des., 124, pp. 259–264.
Joshi,  S. A., and Tsai,  L. W., 2002, “Jacobian Analysis of Limited-DOF Parallel Manipulators,” ASME J. Mech. Des., 124, pp. 254–258.
de Jalon, J. G., and Bayo, E., 1994, Kinematic and Dynamic Simulation of Multibody Systems. The Real-time Challenge, Springer-Verlag, New York, NY.
Blajer,  W., 1997, “A Geometric Unification of Constrained System Dynamics,” Multibody Systems Dynamics,1, pp. 3–21.
Tsai, L. W., 1999, Robot Analysis: The Mechanics of Serial and Parallel Manipulators, John Wiley & Sons, New York, NY.
Rey,  L., and Clavel,  R., 1998, “The Delta Robot: A Position Paper,” CIRP Ann., 47, pp. 347–351.
Franke, H. J., Hagemann, D., and Hagedorn, U., 1999, “Systematic Approach to the Design and Selection of Joints for Parallel Kinematic Structures With Design Catalogs,” Intl. Workshop on Parallel Kinematic Machines, Nov. 30, Milano, Italy, pp. 110–117.
Zoppi, M., 2000, “Analisi ed Ottimizzazione Geometrica e Strutturale di una Macchina Parallela,” University of Genova, DIMEC, thesis.
Bruzzone, L. E., Michelini, R. C., Molfino, R. M., and Zoppi, M., 2001, “Innovative Parallel Architecture for Force-Controlled Industrial Applications,” Proc. of the IASTED International Conference Modelling, Identification and Control (MIC2001), Innsbruck, Austria, February 19–22, pp. 711–713.


Grahic Jump Location
Scheme of the Linear Delta robot (the arrows represent the axes of the universal joint rotational pairs)
Grahic Jump Location
Workspace of the considered Linear Delta robot (the arrows represent the directions of the universal joint central axes) (lengths in meters)
Grahic Jump Location
Conformation of the constraint singularity surface (lengths in meters): (a) α1=0,α2=0,α3=0; (b) α1=0,α2=π/2,α3=π/2; (c) α1=π/2,α2=π/2,α3=π/2
Grahic Jump Location
Mapping of the condition number cc on the symmetry plane xz (lengths in meters): (a) α1=0,α2=0,α3=0; (b) α1=0,α2=π/2,α3=π/2; (c) α1=π/2,α2=π/2,α3=π/2; the joint mobility bounds the workspace to the region delimited by the white dashed line; the constraint singularity surface is placed outside the workspace



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