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Resonant Frequency & Natural Frequency?

  1. Aug 4, 2012 #1
    Hello guys! Is it possible to convert a natural frequency to resonant frequency with maybe some kind of formula? I was given a transfer function and I was asked to draw a root locus plot and determine the resonant frequency. I know how to get the damping ratio and natural frequency and the value of K to make the system stable (by using the routh-hurwitz method), but I have no idea how to get the resonant frequency. Thank you so much!
     
  2. jcsd
  3. Aug 4, 2012 #2

    Simon Bridge

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    The short answer is "yes" - recall that if the damping ratio is 0, the resonant frequency is the natural frequency: it follows that there is some relationship between the natural frequency, the resonant frequency, and the damping ratio.

    You should have notes for these sorts of relationships - like the ringing frequency or the peak frequency.
    One of these will be the one you want ;)
     
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