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Deflection calculation

  1. Aug 10, 2009 #1
    Hi!
    I want to calculate the deflection of a circular membrane driven by a piezoelectic disk set on the top of the membrane. I found a relation between the deflection and the inverse bending radius K of the deflection but only for a rectangular beam: d2(deflection)/d2X where X is the length of the beam.

    Could anybody help me to find the relation for a membrane?

    I found deflection = (K/2)*(X2+ Y) by assuming that my membrane could be seen as the cross of two identical beams in X and Y directions. In this case we have d2(deflection)/d2X = 1/K and d2(deflection)/d2Y = 1/K

    I think it's too simplified and I am not sure my calculation is good anyway. Thank you for your advice.
     
  2. jcsd
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