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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Meirovitch, L., 1989, Dynamics and Control of Structures, John Wiley & Sons.
Mei, C., 1998, “Hybrid Active Vibration Control of a Distributed System,” Ph.D. Thesis, The University of Auckland, Auckland, New Zealand.
Pan,  J., and Pan,  J., 1998, “A Comparison of Modal Expansion and Travelling Wave Methods for Predicting Energy Flow in Beam Structures,” J. Sound Vib., 214(1), pp. 1–15.
Fuller, C. R., Elliot, S. J., and Nelson, P. A., 1996, Active Control of Vibration, Academic Press Ltd., San Diego, USA.
Inman D. J., 1994, Engineering Vibration, Prentice-Hall International, Inc., USA.
Nagem,  R. J., and Williams,  J. H., 1990, “Control of a One-Dimensional Distributed Structure Based on Wave Propagation Analysis,” Mech. Struct. Mach., 18(1), pp. 33–57.
Chung,  C. H., and Tan,  A. A., 1995, “Active Vibration Control of the Axially Moving String by Wave Cancellation,” ASME J. Vibr. Acoust., 117, pp. 49–55.
Tan,  C. A., and Ying,  S., 2000, “Active Wave Control of the Axially Moving String: Theory and Experiment,” J. Sound Vib., 236(5), pp. 861–880.
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.
Lu,  J., Crocker,  M. J., and Raju,  P. K., 1989, “Active Vibration Control Using Wave Control Concepts,” J. Sound Vib., 134(2), pp. 364–368.
Lee,  S. Y., and Mote,  C. D., 1996, “Vibration Control of an Axially Moving String by Boundary Control,” ASME J. Dyn. Syst., Meas., Control, 118, pp. 66–74.
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.
Lee,  S. Y., and Mote,  C. D., 1998, “Travelling Wave Dynamics in a Translating String Coupled to Stationary Constraints: Energy Transfer and Mode Localization,” J. Sound Vib., 212(1), pp. 1–22.
Hull,  A. J., 1994, “A Closed Form Solution of A Longitudinal Bar With A Viscous Boundary Condition,” J. Sound Vib., 169(1), pp. 19–28.
Thomson, W. T., 1989, Theory of Vibration with Applications, Unwin Hyman Ltd.
Cremer, L., Heckel, M., and Ungar, E. E., 1988, Structure-Borne Sound, Berlin: Springer.
Mace,  B. R., 1984, “Wave Reflection and Transmission in Beams,” J. Sound Vib., 97(2), pp. 237–246.
Mead,  D. J., 1994, “Waves and Modes in Finite Beams: Application of the Phase-Closure Principle,” J. Sound Vib., 171(5), pp. 695–702.
Mace,  B. R., 1987, “Active Control of Flexural Vibrations,” J. Sound Vib., 114(2), pp. 253–270.


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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