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Procedure for solving system of coupled oscillators

  1. Apr 21, 2007 #1
    I have been learning oscillations this sem and found solving system of coupled oscillators a very common subject in this course..
    I want to know if the procedure is always:(can be either a spring sys or pendelum system..)
    1.lay down n equations for n coupled oscillators including Xn and w and k inside. such as m*X1''=k1X1 etc..
    2.find the coefficient matrix C
    3.let DET(C)=0, solve for w
    4.sub w back to equations in 1 and solve for Xn

    So, my questions is
    1. is there other ways of solving such a system?
    2. Is there always a solution for such a system? or under what circumstances will there be no solutions to the system?

    Thank you very much!
     
  2. jcsd
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