Skip to main content
Log in

A New Approach to the Design of a DELTA Robot with a Desired Workspace

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Angeles, J. and López-CajÚn, C.: 1992, Kinematic isotropy and the conditioning index of serial robotic manipulators, Internat. J. Robotics Res. 11, 560-571.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Liu, X.-J., Jeong, J., and Kim, J.: 2003, A three translational DoFs parallel cube-manipulator, Robotica 21, 645-653.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Ottaviano, E. and Ceccarelli, M.: 2002, Optimal design of CaPaMan (Cassino Parallel Manipulator) with a specified orientation workspace, Robotica 20, 159-166.

    Google Scholar 

  • Pierrot, F., Reynaud, C., and Fournier, A.: 1990, DELTA: A simple and efficient parallel robot, Robotica 8, 105-109.

    Google Scholar 

  • 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.

    Google Scholar 

  • Salisbury, J. K. and Graig, J. J.: 1982, Articulated hands: force control and kinematic issues, Internat. J. Robotics Res. 1, 4-17.

    Google Scholar 

  • 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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JINT.0000015403.67717.68

Navigation