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TECHNICAL PAPERS

State Space Implementation of the Algorithm of Mode Isolation

[+] Author and Article Information
Michael V. Drexel, Jerry H. Ginsberg, Bassem R. Zaki

G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J. Vib. Acoust 125(2), 205-213 (Apr 01, 2003) (9 pages) doi:10.1115/1.1547463 History: Received October 01, 2001; Revised September 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
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References

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Juang,  J. N., and Suzuki,  H., 1988, “An Eigensystem Realization Algorithm in Frequency Domain for Modal Parameter Identification,” ASME J. Vibr. Acoust., 110, pp. 24–29.
Doebling, S. W., Alvin, K. F., and Peterson, L. D., 1994, “Limitations of State-Space System Identification Algorithms for Structures with High Modal Density,” Proceedings of the 12th International Modal Analysis Conference, Honolulu, HI, pp. 633–637.
Allemang, R. J., Brown, D. L., and Fladung, W., 1994, “Modal Parameter Estimations: A Unified Matrix Polynomial Approach,” Proceedings of the 12th International Modal Analysis Conference, Honolulu, HI, pp. 501–513.
Juang, J.-N., 1994, Applied System Identification, Prentice-Hall, Englewood Cliffs, NJ.
Maia, S., Silva, J. M. M., He, J., Lieven, N. A. J., Lin, R. M., Skingle, G. W., To, W. M., and Urgueira, A. P. V., Theoretical and Experimental Modal Analysis, Research Studies Press Ltd., Taunto, Somerset, England, pp. 226–227.
Ewins, D. J., 2001, Modal Testing: Theory, Practice and Applications, Second Edition, Research Studies Press Ltd., Baldock, Hertfordshire, England.
Balmès, E., 1996, “Frequency Domain Identification of Structural Dynamics Using the Pole-Residue Parameterization,” Proceedings of the 14th International Modal Analysis Conference, Dearborn, MI, pp. 540–546.
Drexel, M. V., 2001, “Modal Parameter Identification Using Mode Isolation,” Ph.D. Thesis, Georgia Institute of Technology.
MODENT Users Guide, 2002, ICATS, ICON Suite, 47 Prince’s Gate, Exhibition Road, London SW7 2QA.
Drexel,  M. V., and Ginsberg,  J. H., 2001, “Mode Isolation: A New Algorithm for Modal Parameter Identification,” J. Acoust. Soc. Am., 110, pp. 1371–1378.
Roemer,  M. J., and Mook,  D. J., 1990, “Enhanced Realization/Identification of Physical Modes,” J. of Aerospace Engineering, 3, pp. 122–136.
Strasberg,  M., and Feit,  D., 1996, “Vibration Damping of Large Structures Induced by Attached Small Resonant Structures,” J. Acoust. Soc. Am., 99, pp. 335–344.
Drexel,  M. V., and Ginsberg,  J. H., 2001, “Modal Overlap and Dissipation Effects of a Cantilever Beam with Multiple Attached Oscillators,” ASME J. Vibr. Acoust., 123, pp. 181–187.
Ginsberg, J. H., 2001, Mechanical and Structural Vibrations: Theory and Applications, John Wiley and Sons, NY, Ch. 10.
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Figures

Grahic Jump Location
Cantilever beam with attached subsystems
Grahic Jump Location
Frequency response function and Nyquist plot for displacement at the end of the cantilever beam with 15% added noise
Grahic Jump Location
Frequency response function and Nyquist plot for displacement of the suspended mass at x=0.5L with 15% added noise
Grahic Jump Location
Frequency response function and Nyquist plot for displacement of the suspended mass at x=0.75L with 15% added noise
Grahic Jump Location
Frequency response function and Nyquist plot for displacement of the suspended mass at x=L with 15% added noise
Grahic Jump Location
Frequency response function and Nyquist plot for the composite data

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