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Vibration Problem: Equations of Motion using Hamilton's Principle

  1. Mar 4, 2010 #1
    1. Frame made up of 3 rigid bars linked to each other and the ground by rotational springs, k, a viscous damper, c which connects opposite corners of the frame. Subject to base lateral motion (s(t)), and the two vertical bars rotate by an amount theta(t). Assuming small displacements, derive EOM. Diagram is attached.



    2. Using Hamiltons Principle, need T (kinetic energy), V(Potential Energy), and dW (virtual Work).



    3. I have the main framework for the problem laid out, the only issue I am having is how to handle the diagonal damper (c) in the virtual Work equation, any tips/hints?
     

    Attached Files:

  2. jcsd
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