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Shear deformation effect in design considerations of flexible manipulators

Published online by Cambridge University Press:  09 March 2009

Tian-Soon Lee  and
Yueh-Jaw Lin
Tian-Soon Lee
Affiliation:
Department of Mechanical EngineeringThe University of AkronAkronOH 44325(U.S.A)
Yueh-Jaw Lin
Affiliation:
Department of Mechanical EngineeringThe University of AkronAkronOH 44325(U.S.A)
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Summary

In this paper the role that shear deformation effect plays in flexible manipulator dynamics is investigated and reported. The shear deformation effect of manipulators with three typical cross-sectional geometries, namely, hollow round, hollow square, and hollow rectangle, is studied. In addition, one important issue for manipulator design considerations regarding the influence of the link dimension variations on flexible dynamics is also investigated. The dynamic simulation results show that the shear deformation effect is approximately inverse proportional to the thickness of manipulator link regardless of cross-sectional shapes, if the link length is fixed. It can also be observed that the longer the manipulator link the less shear effect will influence the manipulator deflection, although the frequency of deflection variances becomes less. Based on the simulation results, it is suggested that hollow circular cross-sectional link should be adopted to reduce shear effect for short and thin manipulator links as far as the flexible linkage manipulator design is concerned. For hollow square and hollow rectangular link cross-sections, the manipulator link must be long and thick to avoid significant influences of shear effects.

Keywords

Shear deformationManipulator designCrosssection linksFlexible linkage.
Type
Research Article
Information
Robotica , Volume 11 , Issue 1 , January 1993 , pp. 83 - 92
Copyright
Copyright © Cambridge University Press 1993

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References

Book, W.J., Maizza-Neto, O. & Whitney, D.E., “Feedback Control of Two-beam, Two-joint System with Distributed Flexibility” J. Dynamic System, Measurement and Control 97, No. 4, 424–431 (12, 1975).CrossRefGoogle Scholar
Cannon, R.H. & Schmitz, E., “Initial Experiments on the End-point Control of a Flexible One Link Robot” Int. J. Robotics Research 3, No. 3, 62–75 (Fall, 1984).CrossRefGoogle Scholar
Book, W.J., “Recursive Lagrangian Dynamics of Flexible Manipulator Arms” Int. J. Robotics Research 3, No. 3, 87–101 (1984).CrossRefGoogle Scholar
Sakawa, Y., Matsume, F. & Fukushima, S., “Modeling and Feedback Control of a Flexible Arm” J. Robotics System 2, No. 4, 453–472 (1985).CrossRefGoogle Scholar
Yang, G.B. & Donath, M., “Dynamic Model of a One Link Robot Manipulator with both Structural and Joint Flexibility” IEEE International Conference on Robotics and Automation 1, 476–481 (1988).Google Scholar
Tahara, M. & Chonan, S., “Closed-loop Displacement Control of a One Link Flexible Arm with a Tip Mass” Inst. J. JSME, Series III, 31, No. 2, 409–415 (1988).Google Scholar
Gebler, B. & Pfeiffer, F., “A Multistage Approach to the Dynamics and Control of Elastic Robots” IEEE International Conference on Robotics and Automation 1, 2–8 (1988).Google Scholar
Krishnan, H. & Vidyasagar, M., “Control of a Single Link Flexible Beam Using a Hankel-Norm Based Reduced Order Model” IEEE International Conference on Robotics and Automation 1, 9–14 (1988).Google Scholar
Naganathan, G. & Soni, A.H., “Coupling Effects of Kinematics and Flexibility in Manipulators” Int. J. Robotics Research 6, No. 1, 75–84 (Spring, 1987).CrossRefGoogle Scholar
Lin, Y.J. & Lee, T.S., “Comprehensive Dynamic Modeling and Motion/Force control of Flexible Manipulators” Mechatronics 2, No 2, 129–148 (1992).Google Scholar
Timoshenko, S., Vibration Problems in Engineering (Van Nostrand, Princeton, N.J., 1955).Google Scholar
Bayo, E., “A Finite Element Approach to Control the End-point Motion of a Single-link Flexible Robot” J. Robotic Systems 4, No. 1, 63–75 (1987).CrossRefGoogle Scholar
Chen, J.S. & Meng, C.H., “Modeling and Adaptive Control of a Flexible One-link Manipulator” Robotica 8, 339–345 (1990).CrossRefGoogle Scholar
Bayo, E., “Timoshenko Versus Bernoulli-Euler Beam Theories for the Inverse Dynamics of Flexible Robots” Inst. J. Robotics and Automation 4, No. 1, 53–56 (1989).Google Scholar
Timoshenko, S. & Lessells, J.M., Applied Elasticity, 1st edition (Westinghouse Technical Night School Press, 1925).Google Scholar
Meirovitch, L., Analytical Methods in Vibrations, 1st edition (The Macmillan Company, New York, 1967).Google Scholar