Certified workspace analysis of 3RRR planar parallel flexure mechanism

Proceedings - IEEE International Conference on Robotics and Automation

Volumn , Issue , 2008, Pages 3838-3843

  Oetomo, Denny ^a,b   Daney, David ^a   Shirinzadeh, Bijan ^c   Merlet, Jean Pierre ^a  

^a INRIA   (France)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN STAGES; INTERNATIONAL CONFERENCES; PAPER ADDRESSES; PRECISION MECHANISMS;

INDUSTRIAL ENGINEERING; ROBOTICS;

MACHINE DESIGN;

EID: 51649096451     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.2008.4543800     Document Type: Conference Paper

References (22)

1. J. M. Paros and L. Weisbord, "How to design flexure hinge," Machine Design, vol. 37, no. 27, pp. 151-156, 25 November 1965.
2. F. E. Scire and E. C. Teague, "Piezodriven 50-μm range stage with subnanometer resolution," Rev. Sci. Inst., vol. 48, no. 12, pp. 1735-1740, December 1978.
3. D. Choi and C. Riviere, "Flexure-based Manipulator for Active Handheld Microsurgical Instrument," Procs. IEEE Conf. Engineering in Medicine and Biology Society, pp. 2325-2328, Sept. 2005.
4. D. Kim, D. Kang, J. Shim, I. Song, and D. Gweon, "Optimal design of a flexure hinge-based XYZ atomic force microscopy scanner for minimizing Abbe errors," Rev. Sci. Inst., July 2005.
5. B.-J. Yi, G. B. Chung, H. Y. Na, W. K. Kim, and I. H. Suh, "Design and experiment of a 3-dof parallel micromechanism utilizing flexure hinges," IEEE Trans. Robs. & Autom., vol. 19, no. 4, pp. 604-612, August 2003.
6. J.-P. Merlet, C. Gosselin, and N. Mouly, "Workspaces of planar parallel manipulators," Mech. Mach. Theory, vol. 33, no. 1/2, pp. 7-20, 1998.
7. G. Pennock and D. Kassner, "The workspace of a general geometry planar three degree of freedom platform manipulator," ASME J. Mechanical Design, vol. 115, no. 2, pp. 269-276, 1993.
8. V. Kumar, "Characterization of workspaces of parallel manipulators," ASME J. Mechanical Design, vol. 114, no. 3, pp. 368-375, 1992.
9. N. Lobontiu, Compliant Mechanisms: Design of Flexure Hinges. CRC Press, 2002.
10. T.-F. Niaritsiry, N. Fazenda, and R. Clavel, "Study of the sources of inaccuracy of a 3 DOF flexure hinge-based parallel manipulator," in Procs. IEEE Intl. Conf. Robs. & Autom., vol. 4, 2004, pp. 4091-4096.
11. R. Moore, Interval Analysis. Prentice-Hall, NJ., 1966.
12. E. Hansen and G. Walster, Global Optimization using Interval Analysis, 2nd ed. Marcel Dekker, NY., 2004.
13. F. Benhamou, F. Goualard, and L. Granvilliers, "Revising hull and box consistency," in Procs. Intl. Conf. on Logic Programming, Las Cruces, USA, 1999, pp. 230-244.
14. M. Collavizza, F. Delobe, and M. Rueher, "Comparing partial consistencies," Reliable Computing, vol. 5, pp. 1-16, 1999.
15. O. Lhomme, "Consistency techniques for numeric CSPs," in Procs. IJCAI 93, Chambery, France, August 1993, pp. 232-238.
16. A. Neumaier, Interval Methods for Systems of Equations. Cambridge University Press, London, 1990.
17. R. B. Kearfott, "Corrigenda: Some tests of generalized bisection," ACM Transactions on Mathematical Software, vol. 14, no. 4, p. 399, 1988.
18. I. Bonev, "Geometric analysis of parallel mechanisms," Ph.D. dissertation, Université Laval, Québec, QC, Canada, 2002.
19. J.-P. Merlet, Parallel Robots. Dordrecht: Kluwer, 2000.
20. J. Rohn, "Cheap and tight bounds: The recent result by E. Hansen can be made more efficient," Interval Computations, vol. 4, pp. 13-21, 1993.
21. A. Neumaier, "A simple derivation of the Hansen-Bliek-Rohn-Ning- Kearfott enclosure for linear interval equations," Reliable Computing, vol. 5, no. 2, pp. 131-136, 1999.
22. J.-P. Merlet and P. Donelan, "On the regularity of the inverse jacobian of parallel robot," in Proceedings of the International Symposium of Advances in Robot Kinematics (ARK), Ljubljana, Jun 2006, pp. 41-48.