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.
On the Heavily Damped Response in Viscously Damped Dynamic Systems
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Nov. 19, 1999 final revision, June 10, 2003 Associate Editor: V. K. Kinra.
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Bulatovic , R. M. (March 17, 2004). "On the Heavily Damped Response in Viscously Damped Dynamic Systems ." ASME. J. Appl. Mech. January 2004; 71(1): 131–134. https://doi.org/10.1115/1.1629108
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