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Forced Self-Sustained Oscillator

  1. May 8, 2010 #1
    Hi,

    I'm reading about self-sustained oscillators under the influence of harmonic forcing. The topic is introduced by studying the system in a new reference frame; one which rotates in the same direction with the frequency of the of the external force.

    In this new reference frame, the oscillating force is represented by a constant vector, acting at some angle. (see pg 48 http://books.google.ca/books?id=LVvUKAjXHhoC&printsec=frontcover&dq=synchronization&hl=en&ei=brLlS8bRN4GdlgfSvPztCg&sa=X&oi=book_result&ct=book-thumbnail&resnum=1&ved=0CDcQ6wEwAA#v=onepage&q=represented%20in%20the%20frame%20rotating%20with%20the%20same%20&f=false" [Broken])

    At first glance, I thought the concept was trivial, but now I'm having a very hard time understanding why this would be so. Can anyone shed some light on this topic?

    Thanks

    ps. consider this...

    --A stationary point in this reference frame is one which is oscillating in the original reference frame, with the same frequency as the force.

    --The force on such a point is then said to be constant.

    --However, to my understanding, the force in the original reference frame varies with time, indifferent of the objects position!!
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
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