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TECHNICAL PAPERS

Vibration Control of a Traveling Suspended System Using Wave Absorbing Control

[+] Author and Article Information
M. Saigo

Mechanical Engineering Laboratory, Agency of Industrial Science and Technology, 1-2 Namiki, Tsukuba, Ibaraki 305-8564, Japane-mail: saigo@mel.go.jp

K. Tani

Gifu University, 1-1 Yanagito, Gifu 501-1193, Japane-mail: tani@info.gifu-u.ac.jp

H. Usui

Nippon Steel Corporation, 2-6-3 Otemati, Chiyodaku, Tokyo 100-8071, Japane-mail: usui@tekkai.nsc.co.jp

J. Vib. Acoust 125(3), 343-350 (Jun 18, 2003) (8 pages) doi:10.1115/1.1569515 History: Received May 01, 2000; Revised January 01, 2002; Online June 18, 2003
Copyright © 2003 by ASME
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References

Vaughan,  D. R., 1968, “Application of Distributed Parameter Concepts to Dynamic Analysis and Control of Bending Vibrations,” ASME J. Basic Eng., 90, pp. 157–166.
Von Flotow,  A. H., 1986, “Traveling Wave Control for Large Spacecraft Structures,” AIAA J., 9, pp. 462–468.
Von Flotow,  A. H., 1986, “Disturbance Propagation in Structural Networks,” J. Sound Vib., 106, pp. 433–450.
Miller,  D. W., and von Flotow,  A. H., 1989, “A Travelling Wave Approach to Power Flow in Structural Networks,” J. Sound Vib., 128, pp. 145–162.
Mace,  B. R., 1984, “Wave Reflection and Transmission in Beams,” J. Sound Vib., 97, pp. 237–246.
Fujii,  H., and Ohtsuka,  T., 1992, “Experiment of a Noncollocated Controller for Wave Cancellation,” AIAA J., 15(3), pp. 93–97.
Tanaka,  N., and Kikushima,  Y., 1992, “Active Wave Control of a Flexible Beam,” JSME Int. J., Ser. III, 35(1), pp. 236–244.
Utsumi,  M., 1999, “Analytical Implementation of Wave-Absorbing Control for Flexible Beams Using Synchronization Condition,” ASME J. Vibr. Acoust., 121, pp. 468–475.
O’Connor,  W., and Lang,  D., 1998, “Position Control of Flexible Robot Arms Using Mechanical Waves,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 334–339.
Saigo,  M., Tanaka,  N., and Tani,  K., 1998, “An Approach to Vibration Control of Multiple-Pendulum System by Wave Absorption,” ASME J. Vibr. Acoust., 121, pp. 524–533.

Figures

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Traveling multiple-pendulum system and wire-and-load system
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N-DOF imaginary system for traveling pendulum system (ÿc: traveling command, ẍ0: vibration control) (a) Nontraveling Imaginary System (NTIS), (b) Traveling Imaginary System (TIS)
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Three types of initializing method for NTIS. (a) PI method: initialization when x0=0, (b) VI method: initialization when ẋ0=0, (c) VI’ method: initialization when ẋ0=0 with support shift
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Experimental apparatus (wire-and-load system)
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Experimental results of 3 DOF rigid-pendulum system (μ=3, κ=1). (a) No control, (b) Control with PI method, (c) Control with VI’ method
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Experimental results of 1 DOF rigid-pendulum system (μ=1, κ=1). (a) Control with PI method, (b) Control with VI’ method
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Experimental results of wire-and-load system (l=0.5 m,w=12.3 N, μ=3, κ=10). (a) No control, (b) Control with PI method, (c) Control with VI’ method
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Experimental results of wire-and-load system for different wire length and load weight with VI’ method (μ=1,κ=10). (a) l=0.3 m,w=12.3 N (b) l=0.9 m,w=31.9 N
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Experimental results of wire-and-load system for final positioning (l=0.3 m,w=12.3 N, μ=10, κ=10). (a) Interruption of traveling command (overrun case), (b) Position correction after traveling command
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Experimental result of nontraveling wire-and-load system for large amplitude with PI and VI methods (l=0.3 m,w=12.3 N, μ=10, κ=10).
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Numerical results of wire-and-load system (l=0.5 m,w=12.3 N, μ=3, κ=10). (a) Control with PI method, (b) Control with VI’ method
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Experimental results of crane system for raising load (total weight=17.6N). (a) No control, (b) Control with PI method (μ=10, κ=10), (c) Control with VI’ method (μ=1, κ=10)
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Experimental results of crane system for lowering load (total weight=17.6 N). (a) No control, (b) Control with PI method (μ=10, κ=10), (c) Control with VI’ method (μ=1, κ=10)

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