The plate is aluminum, 0.063 inch thick. The fixed edge lengths are 6 and 4 inches.
The vibration mode was calculated via the Rayleigh method using an assumed displacement function, as carried out via Matlab script: fixed_fixed_fixed_fixed_plate.zip
The method is given in: fixed_fixed_fixed_fixed_plate.pdf
See also: Vibrationdata Rectangular Plates
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See also:
Natural Frequencies of a Flat, Rectangular Plate, Finite Element Method
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– Tom Irvine