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Base Excitation: Find response and transmitted force

  1. Feb 18, 2013 #1
    1. The problem statement, all variables and given/known data
    The diagram simulates a vehicle driving on a rough road. Let v=constant. Find an equation for the response z(t) as well as the force transmitted to the vehicle

    http://imgur.com/GUQcHx7


    2. Relevant equations

    x'' + 2ζω(x'-x_b') + ω^2(x-x_b) = 0
    x_b(t) = X(iω)*e^(iωt)

    3. The attempt at a solution

    I'm confused at how to relate the equation y(x) to the time domain. We're given the curve the vehicle travels on with respect to x, but the response is with respect to time.
     

    Attached Files:

  2. jcsd
  3. Feb 18, 2013 #2
    I figured it out.
     
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