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Dynamic modeling and simulation of two cooperating structurally-flexible robotic manipulators

Published online by Cambridge University Press:  09 March 2009

K. Krishnamurthy  and
L. Yang
K. Krishnamurthy
Affiliation:
Department of Mechanical and Aerospace Engineering and Engineering Mechanics, University of Missouri-Rolla, Rolla, MO 65401-0249 (USA)
L. Yang
Affiliation:
Department of Mechanical and Aerospace Engineering and Engineering Mechanics, University of Missouri-Rolla, Rolla, MO 65401-0249 (USA)
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Summary

A dynamic model for two three-link cooperating structurally-flexible robotic manipulators is presented in this study. The equations of motion are derived using the extended Hamilton's principle and Galerkin's method, and must satisfy certain geometric constraints due to the closed chain formed by the two manipulators and the object. The dynamic model presented here is for the purpose of designing controllers. Therefore, a low-order model which captures all the major effects is of interest. Computer simulated results are presented for the case of moving an object along an elliptical path using the two cooperating flexible manipulators.

Keywords

Cooperating robotsDynamic modellingFlexible manipulatorsMotion control
Type
Articles
Information
Robotica , Volume 13 , Issue 4 , July 1995 , pp. 375 - 384
Copyright
Copyright © Cambridge University Press 1995

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References

1.Koivo, A.J. and Bekey, G.A.,“Report of Workshop on Coordinated Multiple Robot Manipulators: Planning, Control, and Applications” IEEE J. of Robotics and Automation 4(1),91–93 (1988).Google Scholar
2.Book, W.J., “Controlled Motion in an Elastic World” ASME J. of Dynamic Systems, Measurement, and Control 115, 52–261 (1993).CrossRefGoogle Scholar
3.Book, W.J., “Recursive Lagrangian Dynamics of Flexible Manipulator Arms”Int. J. of Robotic Research 3(3), 87–101 (1984).CrossRefGoogle Scholar
4.Benati, M. and Morro, A., “Dynamics of Chain of Flexible Links” ASME J. of Dynamic Systems, Measurement, and Control 110, 410–415 (1988).CrossRefGoogle Scholar
5.Sunada, W., “Dynamic Analysis of Flexible Spatial Mechanisms and Robotic Manipulators”Ph.D. Dissertation (University of California, Los Angeles, 1981).Google Scholar
6.Usoro, P.B., Nadira, R. and Mahil, S.S., “A Finite Element/Lagrange Approach to Modeling Lightweight Flexible Manipulators” ASME J. of Dynamic Systems, Measurement, and Control 108,198–205 (1986).CrossRefGoogle Scholar
7.Geradin, M.,Robert, G. and Bemardin, C., “Dynamic Modeling of Manipulators with Flexible Members” Advanced Software in Robotics (1984) pp. 27–39.Google Scholar
8.Sakawa, Y.,Matsuno, F. and Fukushima, S., “Modeling and Feedback Control of a Flexible Arm”J. of Robotic Systems 2(4), 453–472 (1985).CrossRefGoogle Scholar
9.Wang, P.K.C. and Wei, J.-D.,“Feedback Control ofVibrations in a Moving Flexible Robot Arm with Rotaryand Prismatic Joints” Proc. of the IEEE Int. Conf. on Robotics and Automation(1987) pp. 1683–1689.Google Scholar
10.Naganathan, G. andSoni, A.H.,“Coupling Effects of Kinematics and Flexibility in Manipulators”Int. J. of Robotic Research 6(1),75–84 (1987)CrossRefGoogle Scholar
11.Bayo, E., Papadopoulos, P., Stubbe, J. and Serna, M.A.,“Inverse Dynamics and Kinematics of Multi-Link Elastic Robots: An Iterative Frequency Domain Approach”Int. J. of Robotic Research 8(6),49–62 (1989).CrossRefGoogle Scholar
12.Truckenbrodt, A., “Dynamics and Control Methods for Moving Flexible Structures and their Application to Industrial Robots” Proc. of the 5th World Congress on Theory of Machines and Mechanisms (1979) pp.831–834.Google Scholar
13.Ower, J.C. and Vegte, V.D., “Classical Control Design for a Flexible Manipulator: Modeling and Control System Design” IEEE J. of Robotics and Automation RA-3, No. 5, 485–489 (1987).CrossRefGoogle Scholar
14.Low, K.H. and Vidyasagar, M.,“A Lagrangian Formulation a of the dynamic Model for Flexible Manipulator Systems” ASME J. of Dynamic Systems, Measurement, and Control 110,175–181 (1988).CrossRefGoogle Scholar
15.Krishnamurthy, K.,“Dynamic Modelling of a Flexible Cylindrical Manipulator” J. of Sound of Vibration 132(1), 143–154 (1989).CrossRefGoogle Scholar
16.Book, W.J., “Modeling, Design, and Control of Flexible Manipulator Arms: A Tutorial Review” Proc. of the IEEE Conf. on Decision and Control(1990) pp. 500–506.Google Scholar
17.Desoyer, K., Lugner, P., Troch, I. and Kopacek, P., “Flexible Robots: Modeling and Control” In Intelligent Robotic Systems (Trafestas, S.G., ed) (Marcel Dekker,New York,1991) pp.421–453.Google Scholar
18.Hu, F.L. and Ulsoy, A.G., “Dynamic Modeling of Constrained Flexible Robot Arms for Controller Design”ASME J. of Dynamic Systems, Measurement, and Control 116,56–65(1994).CrossRefGoogle Scholar
19.Matsuno, F., Sakawa, Y. and Asano, T., “Quasi-Static Hybrid Position/Force Control of a Flexible Manipulator” Proc. of the IEEE Int. Conf. on Robotics and Automation(1991) pp.2838–2843).Google Scholar
20.Choi, B.-C. and Krishnamurthy, K.,“Force Control of a Two-link Planar Manipulator with One Flexible Link”Robotics and Autonomous Systems 8(4), 281–289 (1991).CrossRefGoogle Scholar
21.Chiou, B.C. and Shahinpoor, M.,“Experimental and Theoretical Observations on the Dynamic Stability of a One-Link Force-Controlled Flexible Manipulator” Proc. of the IEEE Int. Conf. on Robotics and Automation(1991) pp. 1208–1213.Google Scholar
22Lew, J.Y. and Book, W.J., “Hybrid Control of Flexible Manipulators with Multiple Contact” Proc. of the Int. Conf. on Robotics and Automation Vol.2(1993)pp.242–247.Google Scholar
23.Eppinger, S.D. and Seering, W.P., “On Dynamic Models of Robot Force Control” Proc. of the IEEE Int. Conf. on Robotics and Automation(1986) pp.29–34.Google Scholar
24.Kane, T.R., Ryan, R.R. and Banerjee, A.K.,“Dynamics of a Cantilever Beam Attached to a Moving Base”J. of Guidance, Control, and Dynamics 10, 139–151 (1987).CrossRefGoogle Scholar
25.Krishnan, H. and Vidyasagar, M.,“Control of a Single-link Flexible Beam Using a Hankel-Norm-Based Reduced Order Model”Proc. of the IEEE Int. Conf. on Robotics and Automation(1988) pp.9–14.Google Scholar
26.McClamroch, N.H., “Singular Systems of Differential Equations as Dynamic Models for Constrained Robot Systems” Proc. of the IEEE Int. Conf. on Robotics and Automation(1986) pp.21–28.Google Scholar
27.Carignan, C.R. and Akin, D.L., “Optimal Force Distribution for Payload Positioning Using a Planar Dual-Arm Robot”ASME J. of Dynamic Systems, Measurement, and Control 111, 205–210 (1989).CrossRefGoogle Scholar