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TECHNICAL PAPERS

Effect of Damping on Asymmetric Systems

[+] Author and Article Information
Paolo Gallina

Department of Energetics, University of Trieste, Via A. Valerio 10-34127 Trieste, Italye-mail: pgallina@units.it

J. Vib. Acoust 125(3), 359-364 (Jun 18, 2003) (6 pages) doi:10.1115/1.1569945 History: Received September 01, 2001; Revised January 01, 2003; Online June 18, 2003
Copyright © 2003 by ASME
Topics: Damping , Eigenvalues
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References

Gasparetto,  A., 1998, “A System Theory Approach to Mode Coupling Chatter in Machining,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 545–547.
Inman,  D. J., 1983, “Dynamics of Asymmetric Nonconservative Systems,” ASME J. Appl. Mech., 50, pp. 199–203.
Kounadis,  A. N., 1992, “On the Paradox of the Destabilizing Effect of Damping in Non-Conservative Systems,” Int. J. Non-Linear Mech., 27, pp. 597–609.
Semler,  C., Alighanbari,  H., and Païdoussis,  M. P., 1998, “A Physical Explanation of the Destabilizing Effect of Damping,” ASME J. Appl. Mech., 65, pp. 642–648.
Bolotin,  V. V., and Zhinzher,  N. I., 1969, “Effects of Damping on Stability of Elastic Systems Subjected to Non-Conservative Forces,” Int. J. Solids Struct., 16, pp. 965–989.
Herrmann,  G., and Jong,  I. C., 1966, “On Nonconservative Stability Problems of Elastic Systems with Slight Damping,” ASME J. Appl. Mech., 32, pp. 125–133.
Herrmann,  G., and Jong,  I. C., 1965, “On the Destabilizing Effect of Damping in Nonconservative Elastic Systems,” ASME J. Appl. Mech., 32, pp. 592–597.
Nemat-Nasser,  S., Prasad,  S. N., and Herrmann,  G., 1966, “Destabilizing Effect of Velocity-Dependent Forces in Nonconservative Continuous Systems,” AIAA J., 4, pp. 1276–1280.
Adhikari,  S., and Friswell,  M. I., 2001, “Eigenderivative Analysis of Asymmetric Non-conservative Systems,” Int. J. Numer. Methods Eng., 51, pp. 709–733.
Wan,  J. S., 1994, “Cone Algorithm: An Extension of the Perceptron Algorithm,” IEEE Trans. Syst. Man Cybern., 24, pp. 1571–1576.
Murty K., 1976, Linear and Combinatorial Programming, Wiley, New York.

Figures

Grahic Jump Location
Mechanical example of a n d.o.f. system. Nonconservative forces that cause the mass matrix and/or the damping matrix to be asymmetric are not depicted in figure. A damping element can be inserted between two masses and/or between one mass and the frame.

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