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Flexural vibration of a thin 2x clamped-free rect. plate

  1. Jun 16, 2010 #1
    Hi,
    After searching a while on the net, in articles and in some books (Yu, Graff, Axisa...) I didn't manage to find any analytical solutions (modes&frequencies) for a rectangular thin plate in free flexural vibration with boundary conditions: clamped-free-clamped-free (or all clamped borders eventually).
    Graff learned me that the concerning general equation: X""Y+2X"Y"+XY""-(β^4)XY=0 would only be separable for at least one couple of simply supported borders (fe: X"=-α²X), which I understand, but I was wondering if there isn't really (another way to find) an analytical solution or if someone is in the know of articles describing this...
    Thanks!
    ]{urijn
     
  2. jcsd
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