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TECHNICAL BRIEFS

A Relationship Between Defective Systems and Unit-Rank Modification of Classical Damping

[+] Author and Article Information
Uwe Prells, Michael I. Friswell

Department of Mechanical Engineering, University of Wales, Swansea, Swansea SA2 8PP, UK

J. Vib. Acoust 122(2), 180-183 (Oct 01, 1999) (4 pages) doi:10.1115/1.568458 History: Received October 01, 1999
Copyright © 2000 by ASME
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References

Caughey,  T. K., 1960, “Classical Normal Modes in Damped Linear Dynamic Systems,” ASME J. Appl. Mech., 27, pp. 269–271.
Gawronski,  W., and Sawicki,  J. T., 1997, “Response Errors of Non-proportionally Lightly Damped Structures,” J. Sound Vib., 200, No. 4, pp. 543–550.
Tong, L., Liang, Z., and Lee, G. C., 1992, “On the Non-proportionality of Generally Damped Systems,” Proceedings of 10th IMAC, San Diego, CA, pp. 1302–1308.
Bellos,  J., and Inman,  D. J., 1990, “Frequency Response of Nonproportionally Damped, Lumped Parameter, Linear Dynamic Systems,” ASME J. Vibr. Acoust., 112, pp. 194–201.
Starek,  L., and Inman,  D. J., 1997, “A Symmetric Inverse Vibration Problem for Nonproportional Underdamped Systems,” ASME J. Appl. Mech., 64, pp. 601–605.
Balmès,  E., 1997, “New Results on the Identification of Normal Modes from Experimental Complex Modes,” Mechanical Systems and Signal Processing, 11, No. 2, pp. 229–243.
Garvey,  S. D., Friswell,  M. I., and Penny,  J. E. T., 1998, “The Relationship between the Real and Imaginary Parts of Complex Modes,” J. Sound Vib., 212, No. 1, pp. 329–348.
Mottershead,  J. E., and Lallement,  G., 1999, “Vibration Nodes, and the Cancellation of Poles and Zeros by Unit-Rank Modifications to Structures,” J. Sound Vib., 222, No. 5, pp. 833–851.
Ram,  Y. M., 1998, “Pole-Zero Assignment of Vibratory Systems by State Feedback Control,” Journal of Vibration and Control, 4, No. 2, pp. 145–166.
Lang, S., 1977, Linear Algebra, Addison-Wesley, Reading, MA, 2nd edition.
Lancaster, P., and Tismenetsky, M., 1985, Theory of Matrices, Academic Press, New York, NY, 2nd edition.
Vesilić,  K., 1988, “On Linear Vibrational Systems with One Dimensional Damping,” Applicable Analysis, 29, pp. 1–18.
Gass, S., 1975, Linear Programming: Methods and Applications, McGraw-Hill, New York, NY, 4th edition.

Figures

Grahic Jump Location
The inverse condition number of G as a function of the eigenvalue λ

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