On the Heavily Damped Response in Viscously Damped Dynamic Systems

[+] Author and Article Information
R. M. Bulatovic

Faculty of Mechanical Engineering, University of Montenegro, 81 000 Podgorica, Yugoslavia

J. Appl. Mech 71(1), 131-134 (Mar 17, 2004) (4 pages) doi:10.1115/1.1629108 History: Received November 19, 1999; Revised June 10, 2003; Online March 17, 2004
Copyright © 2004 by ASME
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Inman, D. J., 1989, Vibration With Control, Measurement, and Stability, Prentice-Hall, Englewood Cliffs, NJ.
Duffin,  R. J., 1955, “A Minimax Theory for Overdamped Networks,” Journal of Rational Mechanics and Analysis,4, pp. 221–233.
Lancaster, P., 1966, Lambda-Matrices and Vibrating Systems, Pergamon Press, Oxford, UK.
Inman,  D. J., and Andry,  A. N., 1980, “Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems,” ASME J. Appl. Mech., 47, pp. 927–930.
Barkwell,  L., and Lancaster,  P., 1992, “Overdamped and Gyroscopic Vibrating Systems,” ASME J. Appl. Mech., 59, pp. 176–181.
Bhaskar,  A., 1997, “Criticality of Damping in Multi-Degree-of-Freedom Systems,” ASME J. Appl. Mech., 64, pp. 387–393.
Beskos,  D. E., and Boley,  B. A., 1980, “Critical Damping in Linear Discrete Dynamics Systems,” ASME J. Appl. Mech., 47, pp. 627–630.
Bulatovic,  R. M., 1997, “The Stability of Linear Potential Gyroscopic Systems When the Potential Energy has a Maximum,” (in Russian) Prikl. Mat. Mekh. (PMM), 61, pp. 385–389.
Bulatovic,  R. M., 1997, “On the Lyapunov Stability of Linear Conservative Gyroscopic Systems,” C. R. Acad. Sci. 324, pp. 679–683.
Lancaster,  P., and Zizler,  P., 1998, “On the Stability of Gyroscopic Systems,” ASME J. Appl. Mech., 65, pp. 519–522.
Belman, R., 1970, Introduction to Matrix Analysis, McGraw-Hill, New York.
Walker,  J. A., 1991, “Stability of Linear Conservative Gyroscopic Systems,” ASME J. Appl. Mech., 58, pp. 229–232.
Korn, G. A., and Korn, T. M., 1961, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York.


Grahic Jump Location
Weak (R1), mixed (R2), and heavy (R3) damping regions, and the region RT1 predicted by Theorem 1 for the system shown in Fig. 1



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