Discussion on “Vibration Analysis of Non-Classically Damped Linear Systems”

[+] Author and Article Information
S. M. Shahruz

Berkeley Engineering Research Institute, P.O. Box 9984, Berkeley, CA 94709

, U.S.A. Phone number: (510) 526-1666

e-mail: shahruz@cal.berkeley.edu

J. Vib. Acoust 127(1), 101-102 (Mar 21, 2005) (2 pages) doi:10.1115/1.1857926 History: Online March 21, 2005

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Liu,  Z. S., Song,  D. T., Huang,  C., Wang,  D. J., and Chou,  S. H., 2004, “Vibration Analysis of Non-Classically Damped Linear Systems,” ASME J. Vibr. Acoust., 126, pp. 456–458.
Desoer, C. A., and Vidyasagar, M., 1975, Feedback Systems: Input-Output Properties, Academic, New York.
Ilchmann,  A., Owens,  D. H., and Prätzel-Wolters,  D., 1987, “Sufficient Conditions for Stability of Linear Time-Varying Systems,” Syst. Control Lett., 9, pp. 157–163.
Moler,  C., and Van Loan,  C., 2003, “Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later,” SIAM Rev., 45, pp. 3–49.
MATLAB, Mathworks, Inc., Natick, MA.


Grahic Jump Location
The time history of t↦y1(t) of the transformed system, which is an unbounded function of time. It may happen that the time-invariant system in the modal coordinates is stable, however, after transformation it becomes an unstable time-varying system.



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