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.
Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems
D. J. Inman,
D. J. Inman
Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, N. Y. 14260
A. N. Andry, Jr.
Department of Mechanical Engineering, Michigan State University, E. Lansing, Mich. 48824
- Views Icon Views
- Share Icon Share
- Search Site
Inman, D. J., and Andry, A. N., Jr. (December 1, 1980). "Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems." ASME. J. Appl. Mech. December 1980; 47(4): 927–930. https://doi.org/10.1115/1.3153815
Download citation file:
- Ris (Zotero)
- Reference Manager