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Orientation capability representation and application to manipulator analysis and synthesis

Published online by Cambridge University Press:  06 September 2002

Paresh Shah  and
Jian S. Dai
Paresh Shah
Affiliation:
Department of Mechanical Engineering, School of Physical Sciences and Engineering, King's College, University of London, London WC2R 2LS (United Kingdom). [email protected]
Jian S. Dai*
Affiliation:
Department of Mechanical Engineering, School of Physical Sciences and Engineering, King's College, University of London, London WC2R 2LS (United Kingdom). [email protected]
*
*Corresponding author.
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Summary

This paper proposes a new orientation representation of planar manipulators by resorting to polar coordinates. Connecting the end-effector point to the first joint of a manipulator with a virtual adjustable link, the length of the adjustable link corresponds to a workspace point and is related to the orientation of the end effector link by a virtual angle in the form of a transcendental equation. Plotting this link length against the virtual angle in polar coordinates, the orientation of a manipulator can be represented in a compact form, and the range of partial dexterity can be identified. The characteristics of the new representation is hence revealed and related to the assessment of an orientation capability of a manipulator. Based on this representation, a desirable task can be presented and a manipulator can be synthesised with the required orientation.

Keywords

OrientationDexterityRepresentationAnalysisSynthesisSerial manipulator
Type
Research Article
Information
Robotica , Volume 20 , Issue 5 , September 2002 , pp. 529 - 535
Copyright
Copyright © Cambridge University Press 2002

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References

1. Kumar, A. and Waldron, K., “The Dexterous Workspace”, ASME paper No. 80-DET (1980).Google Scholar
2. Davidson, J. and Pinga, P., “Robot workspace of a tool plane Part II: computer generation and selected design conditions for dexterity”, ASME Journal of Mechanism, Transmissions and Automations in Design 109, 61–71 (1987).Google Scholar
3. Davidson, J. K., “A Synthesis Procedure for Design of 3-R Planar Robotic Workcells in which Large Rotations are required at the Workpiece”, ASMF Journal of Mechanical Design 114, 547–558 (1992).Google Scholar
4. Dai, J., Holland, N., and Kerr, D., “Finite Twist mapping and its application to planar serial manipulators with revolute joints”, Journal of Mechanical Engineering Science, Proceedings of Institution of Mechanical Engineers, Part C 209, 263–271 (1995).Google Scholar
5. Lu, L. and Cai, C., “Object oriented dexterity analysis and design application for planar robot hands”, 20th ASME Biennial Mechanisms Conference 15, 155–162 (1988).Google Scholar
6. Davidson, J. K. and Chaney, K. D., “A synthesis method for placing workpieces in RPR planar robotic workcells”, ASME Journal of Mechanical Design 120, 262–268 (1998).Google Scholar
7. Davidson, J. K. and Chaney, K. D., “A design procedure for RPR planar robotic workcells: an algebraic approach”, Mechanism and Machine Theory 34, 193–203 (1999).Google Scholar
8. Soylu, R. and Kanberoglu, K., “Analysis synthesis of mechanisms – Part 2: Crank-rotatibility synthesis”, Mechanism and Machine Theory 28, 835–844 (1991).Google Scholar
9. Shyu, J. H. and Ting, K., “Invariant Link Rotatbility of N-Bar Kinematic Chains”, ASME Journal of Mechanism, Transmissions and Automation in Design 116, 343–346 (1994).Google Scholar
10. Ting, K., “Five-Bar Grashof Criteria”, ASME Journal of Mechanism, Transmissions and Automation in Design 108, 533–537 (1986).Google Scholar
11. Woo, Q. L. and Freudenstein, F., “Application of Line Geometry to Theoritical Kinematic and the Mechanical System”, Journal of Mechanism 5, 417–460 (1965).Google Scholar
12. Yang, F.-C. and Haug, E., “Numerical Analysis of the Kinematic Working Capability of Mechanisms”, Journal of Mechanical Design 116, 111–118 (1994).Google Scholar
13. Soman, N. A. and Davidson, J., “A Two-Dimensional Formulation for Path-Placement in the Workcell of Planar 3-R robots”, ASME Journal of Mechanical Design 117, 479–484 (1995).Google Scholar
14. Dai, J. S. and Shah, P., “Orientation Capability of Planar Serial Manipulators Using Rotatability Analysis Based On Workspace Decomposition” Proc. IMechE, Part C, Journal of Mechanical Engineering Science 216(C3), 275–288 (2002).Google Scholar
15. Kohli, D. and Khonji, A., “Grashof-Type Rotatability Criteria of Spherical Five-Bar Linkages”, Journal of Mechanical Design 116, 99–104 (1994).Google Scholar
16. Dai, J. S. and Jones, J. Rees, “Null space construction using cofactors from a screw algebra context” (To appear in the Proceedings of the Royal Society: Mathematical, Physical and Engineering Sciences, 2002).Google Scholar
17. Mabie, H. and Reinholtz, C., Mechanisms and Dynamics of Machinery (Wiley, New York, 4th edition, 1986).Google Scholar
18. Williams, R. II and Reinholtz, C., “Proof of Grashof's Law Using Polynomial Discriminants”, ASME Journal of Mechanisms, Transmissions, and Automation in Design 108, 562–564 (1986).Google Scholar