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Lab Room | Theory Map | Vibrational Parameters | Natural Frequency and Damping Ratio

Natural Frequency and Damping Ratio

Taking the results from the time constant of the exponential decay and the ringing frequency, the two vibrational parameters can be determined.

Using Equation 3 of the Free Vib. Sys. Parameters page and Equation 2 of the Ringing Frequency page it can be shown that the natural frequency is given by:

(1)     

and the damping ratio by:

(2)     

as functions of the time constant, , and the ringing frequency, .


Last Updated: January 16, 2000, beam@bits.me.berkeley.edu
Copyright © 1993-1995, 2000, Pamela A. Eibeck and Brandon Muramatsu
Original WWW Conversion by Winston Wang, 1994
WWW ReConversion by Brandon Muramtasu, 2000