The analysis of the workspace singularities is one of the fundamental aspects in the design of parallel robots. The architecture singularities are generally studied analysing the local properties of the Jacobian matrix. Nevertheless, for limited-DOF parallel robots, there is a category of singularities (constraint or constructive singularities), relating to the constraint force transmission, which are not described by this matrix. This paper deals with a general approach to the analysis of these singularities, used in the synthesis of a Linear Delta robot to suitably modify its geometry, remarkably improving the structural behavior. Details and numerical results are provided.
Issue Section:
Technical Papers
1.
Merlet, J. P., 1997, Les Robots Paralle`les, E´ditions Herme`s, Paris.
2.
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.
3.
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.
4.
Merlet
, J. P.
, 1995
, “Determination of the Orientation Workspace of Parallel Manipulators
,” J. Intell. & Robotic Syst.
, 13
, pp. 143
–160
.5.
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.
6.
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.
7.
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
.8.
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.
9.
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
.10.
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
.11.
Merlet
, J. P.
, 1989
, “Singular Configurations of Parallel Manipulators and Grassmann Geometry
,” Int. J. Robot. Res.
, 8
(5
), pp. 45
–56
.12.
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.
13.
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.
14.
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
.15.
Joshi
, S. A.
, and Tsai
, L. W.
, 2002
, “Jacobian Analysis of Limited-DOF Parallel Manipulators
,” ASME J. Mech. Des.
, 124
, pp. 254
–258
.16.
de Jalon, J. G., and Bayo, E., 1994, Kinematic and Dynamic Simulation of Multibody Systems. The Real-time Challenge, Springer-Verlag, New York, NY.
17.
Blajer
, W.
, 1997
, “A Geometric Unification of Constrained System Dynamics
,” Multibody Systems Dynamics
, 1
, pp. 3
–21
.18.
Tsai, L. W., 1999, Robot Analysis: The Mechanics of Serial and Parallel Manipulators, John Wiley & Sons, New York, NY.
19.
Rey
, L.
, and Clavel
, R.
, 1998
, “The Delta Robot: A Position Paper
,” CIRP Ann.
, 47
, pp. 347
–351
.20.
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.
21.
Zoppi, M., 2000, “Analisi ed Ottimizzazione Geometrica e Strutturale di una Macchina Parallela,” University of Genova, DIMEC, thesis.
22.
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.
Copyright © 2003
by ASME
You do not currently have access to this content.