Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T05:58:09.601Z Has data issue: false hasContentIssue false

A new class of isotropic generators for developing 6-DOF isotropic manipulators

Published online by Cambridge University Press:  01 September 2008

K. Y. Tsai*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, Taiwan10672
T. K. Lee
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, Taiwan10672
Y. S. Jang
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, Taiwan10672
*
*Corresponding author: E-mail: [email protected]

Summary

Developing 6-DOF isotropic manipulators using isotropic generators is simple and efficient, and isotropic generators can be employed to develop serial, redundant, or parallel isotropic manipulators. An isotropic generator consists of a reference point and six straight lines. The existing generators, however, have one common geometric constraint: the reference point is equidistant from the six straight lines. Some practical isotropic designs might not be obtained due to this constraint. This paper proposes methods for developing new isotropic generators. The generators thus developed are not subject to the constraint, and the new methods allow us to specify the location of the tool center point, the size of the platform or the base, or the shape of isotropic parallel manipulators. Many new generators are presented to develop 6-DOF parallel manipulators with different shapes or different types of kinematic chains.

Type
Article
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Gosselin, C. M. and Angeles, J., “The optimum kinematic design of a planar three-degree-of-freedom manipulator,” J. Mech. Trans. Automat. Design 110, 3541 (1988).CrossRefGoogle Scholar
2.Gosselin, C. M. and Angeles, J., “The optimum kinematic design of a spherical three-degree-of-freedom manipulator,” J. Mech. Trans. Automat. Design 111, 202207 (1989).CrossRefGoogle Scholar
3.Angeles, J. and Lopez-Cajun, C. S, “Kinematic isotropy and the conditioning index of serial robotic manipulators,” Int. J. Robot. Res. 11 (6), 560571 (1992).Google Scholar
4.Kircanski, M., “Kinematic isotropy and optimal kinematic design of planar manipulators and a 3-DOF spatial manipulator,” Int. J. Robot. Res. 15 (1), 6177 (1996).CrossRefGoogle Scholar
5.Pittens, K. H. and Podhorodeski, R. P., “A family of Stewart platforms with optimal dexterity,” J. Robot. Syst. 10 (4), 463479 (1993).CrossRefGoogle Scholar
6.Stoughton, R. S. and Arai, T., “A modified Stewart platform manipulator with improved dexterity,” IEEE Trans. Robot. Autom. 9 (2), 166173 (1993).CrossRefGoogle Scholar
7.Bhattacharya, S., Hatwal, H., and Ghosh, A., “On the optimum design of Stewart platform type parallel manipulators,” Robotica 13 (2), 133140 (1995).CrossRefGoogle Scholar
8.Lee, J., Duffy, J., and Hunt, K.H., “Practical quality index on the octahedral manipulator,” Int. J. Robot. Res. 17 (10), 10811090 (1998).CrossRefGoogle Scholar
9.Khan, W. A. and Angeles, J., “The kinetostatic optimization of robotic manipulators: The inverse and the direct problems, ASME J. Mech. Des. 128 (1), 168178 (2006).CrossRefGoogle Scholar
10.Angeles, J., “The design of isotropic manipulator architectures in the presence of redundancies”, Int. J. Robot. Res. 11 (3), 196201 (1992).CrossRefGoogle Scholar
11.Angeles, J., Fundamentals of Robotic Mechanical Systems (Springer, New York, 2002).Google Scholar
12.Zanganeh, K. E. and Angeles, J., “Kinematic isotropy and the optimum design of parallel manipulators,” Int. J. Robot. Res. 16 (2), 185197 (1997).CrossRefGoogle Scholar
13.Fattah, A. and Ghasemi, A. M. H., “Isotropic design of spatial parallel manipulators,” Int. J. Robot. Res. 21 (9), 811824 (2002).Google Scholar
14.Fassi, I., Legnani, G. and Tosi, D., “Geometrical conditions for the design of partial or full isotropic hexapods,” J. Robot. Syst. 22 (10), 507518 (2005).CrossRefGoogle Scholar
15.Klein, C. A. and Miklos, T. A., “Spatial robotic isotropy,” Int. J. Robot. Res. 10 (4), 426437 (1991).CrossRefGoogle Scholar
16.Tsai, K. Y. and Huang, K. D., “The design of isotropic 6-DOF parallel manipulators using isotropy generators,” Mech. Mach. Theory 38 (11), 11991214 (2003).CrossRefGoogle Scholar
17.Tsai, K. Y. and Wang, Z. W., “The design of redundant isotropic manipulators with special parameters,” Robotica 23, 231237 (2005).CrossRefGoogle Scholar
18.Tsai, K. Y. and Lee, T. K., “6-DOF Isotropic Parallel Manipulator with Three PPSR or PRPS chains,” Proceedings of the 12th IFToMM Conference, Besancon, France (June 2007) pp. 18–21.Google Scholar
19.Tsai, K. Y. and Zhou, S. R., “The optimum design of 6-DOF isotropic parallel manipulators,” J. Robot. Syst. 22 (6), 333340 (2005).CrossRefGoogle Scholar