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Six-DOF parallel manipulators with maximal singularity-free joint space or workspace

  • K. Y. Tsai (a1), J. C. Lin (a1) and Yiting Lo (a1)

Summary

Singularity-free workspace is a very important criterion for the design of manipulators, especially for parallel manipulators which are well known for their limited workspace and complex singularities. This paper studies geometric parameters and dexterity measures that affect the size of a singularity-free joint space and proposes methods for the development of 6-DOF Stewart–Gough parallel manipulators that have better singularity-free joint space. With a local dexterity measure as the objective function, a systematic method is employed to search for the design with a maximal singularity-free joint space. The related workspaces are also investigated. It is shown that the workspace is not proportional to the size of the joint space and that manipulators with a larger singularity-free workspace usually have relatively poor dexterity.

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Corresponding author

*Corresponding author. E-mail: kytsai@mail.ntust.edu.tw

References

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1.Merlet, J. P., “Determination of 6D workspaces of Gough-type parallel manipulator and comparison between different geometries,” Int. J. Robot. Res. 18 (9), 902916 (1999).
2.Luh, C. M., Adkins, F. A., Haug, E. J. and Qiu, C. C., “Working capability analysis of Stewart platforms,” Trans. ASME J. Mech. Des. 118 (2), 220227 (1996).
3.Majid, M. Z. A., Huang, Z. and Yao, Y. L., “Workspace analysis of a six-degrees of freedom, three-prismatic-prismatic-spheric-revolute parallel manipulator,” Int. J. Adv. Manuf. Technol. 16 (6), 441449 (2000).
4.Masory, O. and Wang, J., “Workspace evaluation of Stewart platform,” Adv. Robot. 9 (4), 443461 (1995).
5.Gosselin, C., “Determination of the workspace of 6-DOF parallel manipulators,” ASME J. Mech. Des. 112 (3), 331336 (1990).
6.Bonev, I. A. and Ryu, J., “A geometrical method for computing the constant-orientation workspace of 6-PRRS parallel manipulators,” Mech. Mach. Theory 36 (1), 113 (2001).
7.Merlet, J. P., “Determination of the orientation workspaces of parallel manipulator,” J. Intell. Robot. Syst. 13, 143160 (1995).
8.Bonev, I. A. and Ryu, J., “A new approach to orientation workspace analysis of 6-DOF parallel manipulators,” Mech. Mach. Theory 36 (1), 1528 (2001).
9.Merlet, J. P., “Designing a parallel manipulator for a specific workspace,” Int. J. Robot. Res. 16 (4), 545556 (1997).
10.Hay, A. M. and Snyman, J. A., “Methodologies for the optimal design of parallel manipulators,” Int. J. Numer. Meth. Eng. 59 (3), 131152 (2004).
11.Cao, Y., Ji, W., Li, Z., Zhou, H. and Liu, M., “Orientation-Singularity and Nonsingular Orientation-Workspace Analyses of the Stewart–Gough Platform Using Unit Quaternion Representation,” In: IEEE Chinese Control and Decision Conference, Xuzhou (2010) pp. 22822287.
12.Jiang, Q. and Gosselin, C. M., “Determination of the maximal singularity-free orientation workspace for the Gough–Stewart platform,” Mech. Mach. Theory 44 (6), 12811293 (2009).
13.Jiang, Q. and Gosselin, C. M., “Maximal singularity-free total orientation workspace of the Gough–Stewart platform,” ASME J. Mech. Robot. 1, 034501.14 (2009).
14.Li, H., Gosselin, C. M. and Richard, M. J., “Determination of the maximal singularity-free zones in the six-dimensional workspace of the general Gough–Stewart platform,” Mech. Mach. Theory 42 (4), 497511 (2007).
15.Jiang, Q. and Gosselin, C. M., “Geometric optimization of the MSSM Gough–Stewart platform,” ASME J. Mech. Robot. 1, 031006.18 (2009).
16.Tsai, K. Y., Jang, Y. S. and Lee, T. K., “A new class of isotropic generators for developing 6-DOF isotropic manipulators,” Robotica 26 (5), 619625 (2008).
17.Tsai, K. Y. and Lin, J. C., “Determining the compatible orientation workspace of Stewart–Gough parallel manipulators,” Mech. Mach. Theory 41 (10), 11681184 (2006).
18.Tsai, K. Y., Lee, T. K. and Huang, K. D., “Determining the workspace boundary of 6-DOF parallel manipulators,” Robotica 24 (5), 605611 (2006).
19.Tsai, K. Y. and Lee, T. K., “6-DOF parallel manipulators with better dexterity, rotatability, or singularity-free workspace,” Robotica 27 (4), 599606 (2009).

Keywords

Six-DOF parallel manipulators with maximal singularity-free joint space or workspace

  • K. Y. Tsai (a1), J. C. Lin (a1) and Yiting Lo (a1)

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