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Mass-spring-damper system "shock absorber"

  1. May 28, 2017 #1
    1. The problem statement, all variables and given/known data
    Find equations of motion for mechanical system given by picture, where m = 1kg, k1 = 10, k2 = 25, b = 3 and natural lengths of springs are a1 = 1m, a2 = 2m. The whole system is in a gravitational field g = 9.81m/s^2

    2. Relevant equations


    3. The attempt at a solution
    I came up with
    [tex] m\ddot{y} = -k_2 y + k_1 (q-y) + mg \\
    b\dot{q} = -k_1(q-y)
    [/tex]
    but whenever I try to model it in simulink it doesn't seem right.
     

    Attached Files:

    • Smj0.png
      Smj0.png
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  2. jcsd
  3. May 28, 2017 #2

    BvU

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    In what respect ?

    Anyway, you can check what you get for k1=0 and for k2=0
     
  4. May 28, 2017 #3
    When I let k1=k2=0 the mass will just keep falling, which is ok (second picture). But when k1, k2 is what it should be then (second pic), I would guess they shouldn't have an equilibrium state at the same place.

    EDIT: Oh, It should be this way because it isn't the position but it's displacement and when it doesn't have mass (the q) then it should be this.
    Ok, anyway thanks
     

    Attached Files:

    Last edited: May 28, 2017
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