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Fundamental frequency of an object with nonlinear stiffness.

  1. Jan 28, 2014 #1
    Hi all. It's been a few years since I've posted here, but it's remained a great go-to resource for me.

    Any time I have dealt with mechanical vibrations, the fundamental frequency was based on a constant stiffness. However, I have never encountered the subject of finding the fundamental frequency of objects where the stiffness varies with displacement from equilibrium (i.e., a simply supported beam resting on curved supports, such that the supported length changes as the beam deflects.)

    Could someone point to a resource that deals with this subject?

    Much appreciated.
  2. jcsd
  3. Jan 28, 2014 #2


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    The simplest system mathematically is usually called a Duffing equation or Duffing oscillator, after the person who first studied it. Now you know what it's called, Google is your friend.
  4. Feb 4, 2014 #3
    Thanks for the reply. That should be enough of a foot in the door to look into this further.
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