1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

  1. Jun 16, 2010 #1
    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...
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

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