w(n) = B Sqrt[E*t*t/{p*a*a*a*a(1 - y*y)}] rad/sec
E = Young’s modulus, lb/in2
t = thickness of plate, in.
p = mass density, lb-sec2/in4
a = diameter of circular plate, in.
y = Poisson’s ratio
B has the following values for modes 1 through 5: 11.84, 24.61, 40.41, 46.14, 103.12
The above is taken from page 114 of Harris’ Shock and Vibration Handbook, Edition V
ISBN 0-07-137081-1
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