Affiliation:
1. Faculty of Mechanical Engineering, University of Montenegro, 81 000 Podgorica, Yugoslavia
Abstract
Free motions of viscously damped linear systems are studied. A heavily damped multi-degree-of-freedom system is defined as one for which all its eigenvalues are real, negative, and semi-simple. Several results are obtained which state conditions for the heavy damping of the system. The conditions are given directly in terms of the coefficients of system matrices and these conditions may yield design constraints in terms of the physical parameters of the system. An example illustrates the validity and usefulness of the presented results.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference13 articles.
1. Inman, D. J., 1989, Vibration With Control, Measurement, and Stability, Prentice-Hall, Englewood Cliffs, NJ.
2. Duffin, R. J.
, 1955, “A Minimax Theory for Overdamped Networks,” Journal of Rational Mechanics and Analysis, 4, pp. 221–233.
3. Lancaster, P., 1966, Lambda-Matrices and Vibrating Systems, Pergamon Press, Oxford, UK.
4. Inman, D. J., and Andry, Jr., A. N., 1980, “Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems,” ASME J. Appl. Mech., 47, pp. 927–930.
5. Barkwell, L., and Lancaster, P., 1992, “Overdamped and Gyroscopic Vibrating Systems,” ASME J. Appl. Mech., 59, pp. 176–181.
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