This Technical Brief presents a new method for vibration analysis of a non-classically damped system. The basic idea is to introduce a transformation, which bears clear physical meaning, so that the original non-classical damped system is transformed into a new 2nd-order system that does not have the damping term. The transformed system not only provides an alternative of calculating response, but also reveals more clearly vibration behaviors of the original system.
Vibration Analysis of Non-Classically Damped Linear Systems
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Nov. 2002; Revised Dec. 2003. Associate Editor: J. P. Cusumano.
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Liu, , Z. S., Song, and , D. T., Huang , C., Wang , D. J., and Chen , S. H. (July 30, 2004). "Vibration Analysis of Non-Classically Damped Linear Systems ." ASME. J. Vib. Acoust. July 2004; 126(3): 456–458. https://doi.org/10.1115/1.1760563
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