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TECHNICAL PAPERS

Modeling and Feedback Structural Acoustics Control of a Flexible Plate

[+] Author and Article Information
Kazuto Seto

Department of Mechanical Engineering, Nihon University, 1-8 Kanda Surugadai, Chiyodo-ku, Tokyo 101, Japan

Mingzhang Ren, Fumio Doi

Vibration Control Laboratory, Kyowa Metal Works Co., Ltd., Fukuura 1-1-1, Kanazawa-ku, Yokohama 236, Japan

J. Vib. Acoust 123(1), 18-23 (Feb 01, 2000) (6 pages) doi:10.1115/1.1285987 History: Received June 01, 1997; Revised February 01, 2000
Copyright © 2001 by ASME
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References

Nelson, P. A., and Elliott, S. J., 1992, Active Control of Sound, Academic, London.
Baumann,  W. T., Ho,  F. S., and Robertshaw,  H. H., 1992, “Active structural acoustic control of broadband disturbances,” J. Acoust. Soc. Am., 92, pp. 1998–2005.
Thomas,  D. R., and Nelson,  P. A., 1995, “Feedback control of sound radiation from a plate excited by a turbulent boundary layer,” J. Acoust. Soc. Am., 98, pp. 2651–2662.
Fuller, C. R., Elliott, S. J., and Nelson, P. A., 1996, Active Control of Vibration, Academic, London.
Meirovitch, L., 1990, Dynamics and Control of Structures, Wiley, New York.
Bai,  M. R., and Shieh,  C., 1985, “Active noise cancellation by using the linear quadratic Gaussian independent modal space control,” J. Acoust. Soc. Am., 97, pp. 2664–2674.
Kosut,  R. L., 1970, “Suboptimal control of linear time-invariant systems subject to control structure constraints,” IEEE Trans. Autom. Control, AC-15, pp. 557–563.
Seto,  K., and Mitsuta,  S., 1994, “A new method for making a reduced-order model of flexible structures using unobservability and uncontrollability and its application in vibration control,” JSME Int. J., Series C, 37, pp. 444–449.
Balas,  M. J., 1978, “Feedback control of flexible structures,” IEEE Trans. Autom. Control, AC-23, pp. 673–679.
Ren, M. Z., Doi, F., Seto, K., and Gadate, Y., 1996, “The influence of phase-lag on active structure-borne sound control of flexible plate,” Proceedings of 3rd International Conference on Motion and Vibration Control (MOVIC), Japan, pp. 365–370.

Figures

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Modal shapes illustrated by node lines. The circles and numbers refer to modeling points. (The peculiar ordering of the modeling points has no meaning and can be numbered in other ways.)  
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The lumped parameter model for the plate structure. The masses (mi) are connected through springs (k).
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The measured frequency response functions in the impulse excitation experiments. (a) Excite near mass point 2 and pick up at mass point 1 (b) excite near mass point 1 and pick up at mass point 1.
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The measured sound pressure of the plate under the stationary excitation by a loudspeaker

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