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TECHNICAL BRIEFS

The Analysis and Control of Longitudinal Vibrations from Wave Viewpoint

[+] Author and Article Information
C. Mei

Department of Mechanical Engineering, The University of Michigan—Dearborn, 4901 Evergreen Road, Dearborn, MI 48128 e-mail: cmei@umich.edu

J. Vib. Acoust 124(4), 645-649 (Sep 20, 2002) (5 pages) doi:10.1115/1.1500339 History: Received July 01, 2001; Revised April 01, 2002; Online September 20, 2002
Copyright © 2002 by ASME
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References

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Mei, C., 1998, “Hybrid Active Vibration Control of a Distributed System,” Ph.D. Thesis, The University of Auckland, Auckland, New Zealand.
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Elliot, S. J., Brennan, M. J., and Pinnington, R. J., 1993, “Feedback Control of Flexural Waves on a Beam,” Proceedings of Inter-Noise 93, Leuven, Belgium, pp. 843–846.
Mace,  B. R., and Jones,  R. W., 1996, “Feedback Control of Flexural Waves in Beams,” Journal of Structural Control, 3(1–2), pp. 89–98.
Mei, C., Mace, B. R., and Jones, R. W., 1997, “Active Control of Flexural Vibrations Using Hybrid Mode/Wave Approach,” Proceedings of the Fifth International Congress on Sound and Vibration, Adelaide, Australia, pp. 437–444.
Mei, C., Mace, B. R., and Jones, R. W., 1998, “Experimental Implementation of Hybrid Active Vibration Control of a Cantilever Beam,” Proceedings of Inter-noise 98, the 1998 International Congress on Noise Control Engineering, Christchurch, New Zealand.
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Fung,  R. F., and Tseng,  C. C., 1999, “Boundary Control of an Axially Moving String Via Lyapunov Method,” ASME J. Dyn. Syst., Meas., Control, 121, pp. 105–110.
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Thomson, W. T., 1989, Theory of Vibration with Applications, Unwin Hyman Ltd.
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Mace,  B. R., 1984, “Wave Reflection and Transmission in Beams,” J. Sound Vib., 97(2), pp. 237–246.
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Figures

Grahic Jump Location
The forced response of the rod
Grahic Jump Location
The collocated feedback wave control system
Grahic Jump Location
Frequency responses before and after control
Grahic Jump Location
Frequency responses before and after control
Grahic Jump Location
(a) The incoming disturbance waves (b) Waves generated by the control force

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