Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems

[+] Author and Article Information
D. J. Inman

Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, N. Y. 14260

A. N. Andry

Department of Mechanical Engineering, Michigan State University, E. Lansing, Mich. 48824

J. Appl. Mech 47(4), 927-930 (Dec 01, 1980) (4 pages) doi:10.1115/1.3153815 History: Received December 01, 1979; Revised March 01, 1980; Online July 21, 2009


An analysis of the conditions under which the modes of a damped linear lumped parameter system are either all critically damped, overdamped or underdamped is presented. These conditions are derived from the definiteness of certain combinations of the coefficient matrices. Some results concerning the completeness of the eigenvectors are stated. The conditions are compared to previous results and their usefulness is illustrated by numerical examples.

Copyright © 1980 by ASME
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