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Static and dynamic modelling of a two-flexible-link robot manipulator

Published online by Cambridge University Press:  09 March 2009

A.S. Morris  and
A. Madani
A.S. Morris
Affiliation:
Dept. of Automatic Control & Systems Engineering, University of Sheffield, Mappin St., Sheffield, SI 3JD (UK)
A. Madani
Affiliation:
Dept. of Automatic Control & Systems Engineering, University of Sheffield, Mappin St., Sheffield, SI 3JD (UK)
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Summary

This paper is addressed at the difficulty of accurately modelling a two-flexible-link manipulator system, which is a necessary pre-requisite for future work developing a high-performance controller for such manipulators. Recent work concerned with the development of an accurate single-flexible-link model is first reviewed and then the expansion of a single-link model into a two-flexible-link system in a way which properly takes into account the coupling and interactions between the two links is discussed. The method of approach taken is to calculate the elastic and rigid motions of the links separately and then to combine these according to the principle of superposition. The application of the model developed is demonstrated in a simulated two-flexiblelink system.

Keywords

ModellingRobotTwo-flexible-linkSuperposition principle
Type
Article
Information
Robotica , Volume 14 , Issue 3 , May 1996 , pp. 289 - 300
Copyright
Copyright © Cambridge University Press 1996

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References

1.Morris, A.S. and Madani, A. “Multi-Mode Modelling of a Flexible Link Robot Manipulator” (Submitted for publication in Proceedings of the Inst. of Mech. Eng. Part I, (1995).Google Scholar
2.Timoshenko, S., Young, D.H. and Weaver, W. Jr, Vibration Problems in Engineering (Wiley, New York, 1974).Google Scholar
3.Cannon, R.H. Jr and Schmitz, E., “Initial Experiments on the End-Point Control of a Flexible One-Link Robot” Int. J. Robotics Res. 3(3), 62–75 (1984).CrossRefGoogle Scholar
4.Morris, A.S. and Madani, A., “Inclusion of Shear Deformation Term to Improve Accuracy in Flexible-Link Robot Modelling” (Submitted for publciation in Mechatronics, 1995).CrossRefGoogle Scholar
5.Timoshenko, S. and Lessels, J.M., Applied Elasticity: First edition (Westinghouse Technical Night School Press, 1925).Google Scholar
6.Tse, F.S., Morse, I.E. and Hinkle, R.T., Mechanical Vibrations, Theory and Application: Second edition (Allyn and Bacon, Boston, 1978).Google Scholar
7.Fu, K.S., Gonzalez, R.C. and Lee, C.S.G., Robotics: Control, Sensing, Vision, and Intelligence (McGraw-Hill International Edition, New York, 1987).Google Scholar
8.Bhat, S.P. and Mui, D.K., “Precise Point-to-Point Positioning Control of Flexible Structures” Trans. ASME, Journal of Dynamic Systems, Measurement, and Control 112, 667–674 (1990).CrossRefGoogle Scholar
9.Korolov, V.V. and Chen, Y.H., “Controller Design Robust to Frequency Variation in a One-Link Flexible Robot Arm” Trans. ASME, Journal of Dynamic Systems, Measurement, and Control 111, 9–14 (1989).CrossRefGoogle Scholar