Abstract
In this paper, a new design method considering a desired workspace and swing range of spherical joints of a DELTA robot is presented. The design is based on a new concept, which is the maximum inscribed workspace proposed in this paper. Firstly, the geometric description of the workspace for a DELTA robot is discussed, especially, the concept of the maximum inscribed workspace for the robot is proposed. The inscribed radius of the workspace on a workspace section is illustrated. As an applying example, a design result of the DELTA robot with a given workspace is presented and the reasonability is checked with the conditioning index. The results of the paper are very useful for the design and application of the parallel robot.
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Angeles, J. and López-CajÚn, C.: 1992, Kinematic isotropy and the conditioning index of serial robotic manipulators, Internat. J. Robotics Res. 11, 560-571.
Bonev, I.: 2001, The Delta parallel robot-the story of success, http://www.parallelmic.org/ Reviews/Review002p.html.
Clavel, R.: 1986, Device for displacing and positioning an element in space, WIPO Patent, WO 87/03528, 18 June.
Clavel, R.: 1988, DELTA, A fast robot with parallel geometry, in: 18th Internat. Symposium on Industrial Robot, Lausanne, pp. 91-100.
Codourey, A.: 1996, Dynamic modeling and mass matrix evaluation of the DELTA robot for axes decoupling control, in: Proc. of IEEE IROS'96, pp. 1211-1218.
Company, O., Pierrot, F., Launay, F., and Fioroni, C.: 2000, Modeling and preliminary design issues of a 3-axis parallel machine-tool, in: PKM 2000, Ann Arbor, USA, pp. 14-23.
Demaurex, M.-O.: 1999, The Delta robot within the industry, in: C. R. Boer, L. Molinari-Tosatti and K. S. Smith (eds), Parallel Kinematic Machines, Springer, London, pp. 395-399.
Fischer, P.: 1996, Improving the accuracy of parallel robots, Thèsen 1570, Lausanne (EPFL).
Gosselin, C. and Angeles, J.: 1991, A global performance index for the kinematic optimization of robotic manipulators, Trans. ASME, J. Mech. Design 113, 220-226.
Holy, F. and Steiner, K.: 2000, Machining system with movable tool head, US Patent 6161992.
Kosinska, A., Galicki, M., and Kedzior, K.: 2002, Determination of parameters of 3-dof spatial orientation manipulators for a specified workspace, Robotica 20, 179-183.
Liu, X.-J.: 2001, Mechanical and kinematics design of parallel robotic mechanisms with less than six degrees of freedom, Postdoctoral research report, Tsinghua University, Beijing, China.
Liu, X.-J., Jeong, J., and Kim, J.: 2003, A three translational DoFs parallel cube-manipulator, Robotica 21, 645-653.
Liu, X.-J., Jin, Z.-L., and Gao, F.: 2000, Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and stiffness indices, Mechanism Machine Theory 35, 1257-1267.
Liu, X.-J., Wang, J., and Zheng, H.: 2003, Workspace atlases for the computer-aided design of the Delta robot, Proc. IMECHE Part C: J. Mech. Engrg. Sci. 217, 861-869.
Ottaviano, E. and Ceccarelli, M.: 2002, Optimal design of CaPaMan (Cassino Parallel Manipulator) with a specified orientation workspace, Robotica 20, 159-166.
Pierrot, F., Reynaud, C., and Fournier, A.: 1990, DELTA: A simple and efficient parallel robot, Robotica 8, 105-109.
Ryu, J. and Cha, J.: 2003, Volumetric error analysis and architecture optimization for accuracy of HexaSlide type parallel manipulators, Mechanism Machine Theory 38, 227-240.
Salisbury, J. K. and Graig, J. J.: 1982, Articulated hands: force control and kinematic issues, Internat. J. Robotics Res. 1, 4-17.
Stamper, R. E., Tsai, L.-W., and Walsh, G. C.: 1997, Optimization of a three DOF translational platform for well-conditioned workspace, in: Proc. IEEE Internat. Conf. on Robotics and Automation, New Mexico, pp. 3250-3255.
Sternheim, F.: 1988, Tridimensional computer simulation of a parallel robot, result for the 'DELTA4' machine, in: Proc. of Internat. Symposium on Industrial Robots, Lausanne, April, pp. 333-340.
Strang, G.: 1976, Linear Algebra and its Application, Academic Press, New York, 1976.
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Liu, XJ., Wang, J., Oh, KK. et al. A New Approach to the Design of a DELTA Robot with a Desired Workspace. Journal of Intelligent and Robotic Systems 39, 209–225 (2004). https://doi.org/10.1023/B:JINT.0000015403.67717.68
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DOI: https://doi.org/10.1023/B:JINT.0000015403.67717.68