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TECHNICAL PAPERS

The Proportional-Damping Matrix of Arbitrarily Damped Linear Mechanical Systems

[+] Author and Article Information
J. Angeles, S. Ostrovskaya

Department of Mechanical Engineering and Centre for Intelligent Machines, McGill University, 817 Sherbrooke Street West, Montreal, PQ H3A 2K6, Canada

J. Appl. Mech 69(5), 649-656 (Aug 16, 2002) (8 pages) doi:10.1115/1.1483832 History: Received December 17, 1999; Revised February 28, 2002; Online August 16, 2002
Copyright © 2002 by ASME
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References

Prater,  G., and Singh,  R., 1986, “Quantification of the Extend of Non-proportional Viscous Damping in Discrete Vibratory Systems,” J. Sound Vib., 104(1), pp. 109–125.
Minas,  C., and Inman,  D. J., 1991, “Identification of Nonproportional Damping Matrix From Incomplete Modal Information,” ASME J. Vibr. Acoust., 113, pp. 219–224.
Roemer,  M. J., and Mook,  D. J., 1992, “Mass, Stiffness and Damping: An Integrated Approach,” ASME J. Vibr. Acoust., 114, pp. 358–363.
Gladwell, G. M. L., 1993, Inverse Problems in Scattering: An Introduction, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Abrahamsson, T., 1994, “Modal Parameter Extraction for Nonproportionally Damped Linear Systems,” Proc. 12 International Modal Analysis Conference.
Kujath, M. R., Liu, K., and Akpan, D., 1998, “Analysis of Complex Modes Influence on Modal Correlation of Space Structures,” Technical Report, Canadian Space Agency, St.-Hubert, Quebec, Canada.
Meirovitch, L., 2001, Fundamentals of Vibrations, McGraw-Hill, New York.
Angeles,  J., Zanganeh,  K. E., and Ostrovskaya,  S., 1999, “The Analysis of Arbitrarily-Damped Linear Mechanical Systems,” Arch. Appl. Mech., 69(8), pp. 529–541.
Kujath, M. R., 1999, “Proportional vs. Non-proportional Damping,” Technical Memorandum, Dalhousie University.
Golub, G., and Loan, F. V., 1983, Matrix Computations, The John Hopkins University Press, Baltimore, MD.
Kaye, R., and Wilson, R., 1998, Linear Algebra, Oxford University Press, New York.
Angeles, J., and Espinosa, I., 1981, “Suspension-System Synthesis for Mass Transport Vehicles With Prescribed Dynamic Behavior,” ASME Paper No. 81-DET-44.

Figures

Grahic Jump Location
A two-degree-of-freedom model of a suspension
Grahic Jump Location
Layout of the suspension system
Grahic Jump Location
The iconic model of the suspension of subway cars

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