JRM Vol.20 No.1 pp. 7-17
doi: 10.20965/jrm.2008.p0007


Workspace and Dexterity Analyses of the Delta Hexaglide Platform

Wu-Jong Yu*, Chih-Fang Huang**, and Wei-Hua Chieng*

*Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, Taiwan, 30050, R.O.C.

**Music Technology Group of Music Institute, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, Taiwan, 30050, R.O.C.

June 16, 2006
January 31, 2007
February 20, 2008
workspace, dexterity, Stewart platform, parallel manipulator, Delta Hexaglide platform

We propose for analyzing the Delta Hexaglide platform manipulator workspace through inverse kinematics to guarantee that all branches of the workspace are preserved. Workspace is analyzed using the marching cube. Dexterity is derived for the platform. Workspace and dexterity results are combined and presented in color or gray-level images for different Delta Hexaglide platforms. Parametric design of Delta Hexaglide workspace is also included in this research.

Cite this article as:
Wu-Jong Yu, Chih-Fang Huang, and Wei-Hua Chieng, “Workspace and Dexterity Analyses of the Delta Hexaglide Platform,” J. Robot. Mechatron., Vol.20, No.1, pp. 7-17, 2008.
Data files:
  1. [1] D. Stewart, “A platform with six degrees of freedom,” Proc. Institution of Mechanical Engineers (Part-I), Vol.180, No.15, pp. 371-386, 1965.
  2. [2] Z. Ji, “Workspace Analysis of Stewart Platforms via Vertex Space,” Journal of Robotic System, Vol.11, No.7, pp. 631-639, 1994.
  3. [3] O. Masory and J. Wang, “Workspace evaluation of Stewart platforms,” Advanced Robotics, Vol.9, No.4, pp. 443-461, 1995.
  4. [4] J. P.Merlet, “Determination of 6D workspace of Gough-Type parallel manipulator and comparison between different geometries,” The Int. Journal of Robotics & Research, Vol.18, No.9, pp. 902-916, 1999.
  5. [5] J. P. Merlet, “Guaranteed in-the-workspace improved trajectory/surface/volume verification for parallel robots,” Proc. of the IEEE Int. Conf. on Robotics and Automation, PVP-Vol.4, pp. 4103-4108, 2004.
  6. [6] C. Gosselin, “Determination of the Workspace of 6-DOF Parallel Manipulator,” Journal of Mechanical Design, PVP-Vol.112, pp. 331-336, 1990.
  7. [7] M. Honegger, A. Codourey, and E. Burdet, “Adaptive control of the Hexaglide, a 6 DOF parallel manipulator,” Proc. of IEEE Int. Conf. on Robotics and Automation, Albuquerque, pp. 543-548, 1997.
  8. [8] M. Suzuki, K. Watanabe, T. Shibukawa, T. Tooyama, and K. Hattori, “Development of milling machine with parallel mechanism,” Toyota Technical Review, Vol.47, No.1, pp. 125-130, 1997.
  9. [9] G. Pritschow and K. H. Wurst, “Systematic design of Hexapods and parallel link systems,” Annals of the CIRP, Vol.46, No.1, pp. 291-295, 1997.
  10. [10] B. R. Hopkins and R. L. Williams II, “Kinematics, Design and Control of 6-PSU Platform,” Industrial Robot: An Int. Journal, Vol.29, No.5, pp. 443-451, 2002.
  11. [11] Y. Wang, W. S. Newman, and R. Stoughton, “Workspace Analysis of the ParaDex Robot – A Novel, Close-Chain, Kinematically-Redundant Manipulator,” IEEE Int. Conf. on Rob. & Automation, pp. 2392-2397, 2000.
  12. [12] I. A. Bonev and J. Ryu, “Workspace Analysis of 6-PRRS Parallel Manipulators Based on the Vertex Space Concept,” ASME Design Technical Conf.s, DETC99/DAC-8647, Las Vegas, NV, September 12-15, 1999.
  13. [13] J. P. Kim and J. Ryu, “Closed-Form Dynamics Equations of 6-DOF PUS Type Parallel Manipulators,” ASME Design Technical Conf.s, 26th Biennial Mechanisms Conf., Baltimore, MD, September 10-13, 2000.
  14. [14] B. R. Hopkins and R. L. Williams II, “MODIFIED 6-PSU PLATFORM,” ASME Design Engineering Technical Conf.s, September 29-October 2, Montreal, Canada, 2002.
  15. [15] K. A. B. Rao, P. V.M. Rao, and S. K. Saha, “Workspace and Dexterity Analysis of Machine Tools,” Proceeding of the IEEE Int. Conf. on Robots & Automation, Taipei, Taiwan, September 14-19, 2003.
  16. [16] S. Robert and T. Arai, “A modified Stewart platform manipulator with improved dexterity,” IEEE Transactions on Robotics and Automation, Vol.9, No.2, pp. 166-173, 1993.
  17. [17] C. A. Klein and B. E. Blaho, “Dexterity measures for the design and control of kinematically redundant manipulators,” Int. J. Robot. Res., Vol.6, No.2, pp. 72-78, 1987.
  18. [18] H. Pittens and R. P. Podhorodeski, “A family of Stewart platforms with optimal dexterity,” J. Robot. Syst., Vol.10, No.4, pp. 463-479, 1993.
  19. [19] D. Giovannetti and M. Blum, , “Design of a Hexapod Motion Cueing System for the NASA Ames Vertical Motion Simulator,” AIAA Modeling and Simulation Technologies Conf. and Exhibit, August 5-8, Monterey, California, 2002.
  20. [20] W. E. Lorensen and H. E. Cline, “Marching Cubes: A High Resolution 3D Surface Construction Algorithm,” Computer Graphics (Proc. of SIGGRAPH ’87), Vol.21, No.4, pp. 163-169, 1987.
  21. [21] G. M. Nielson and B. Hamann, “The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes,” Proc. IEEE Visualization, pp. 83-91, 1992.
  22. [22] S. V. Matveyev, “Resolving the topological ambiguity in approximating the isosurface of scalar function,” Proc., IEEEWorkshop on Visualization and Machine Vision, pp. 18-21, June 1994.
  23. [23] S. Matveyev, “Approximation of Isosurface in the Marching Cube: Ambiguity Problem,” Proc. IEEE Visualization, pp. 288-292, 1994.
  24. [24] B. Natarajan, “On Generating Topologically Consistent Isosurfaces from Uniform Samples,” The Visual Computer, PVP-Vol.11, pp. 52-62, 1994.
  25. [25] E. Chernyaev, “Marching Cubes 33: Construction of Topologically Correct Isosurfaces,” Technical Report CN/ 95-17, CERN, 1995.
  26. [26] M. A. Styblinski, J. Vandewalle, and M. Sengupta, “Statistical characterization and optimization of integrated circuits based on singular value decomposition,” Proc. of the Third IEEE Int. Conf. on, PVP-Vol.1, pp. 263-266, 1997.
  27. [27] B. M. Edward, “An engineer’s guide to MATLAB,” Prentice Hall, New Jersey, 2000.
  28. [28] R. S. Wright, Jr. and M. Sweet, “OpenGL SuperBible,” Waite Group Press, 2nd ed., Indianapolis, 2000.

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