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Frequency of Rectangular Plate Formulas and Calculator

Frequency of Rectangular Plate Simply Supported Edge Equation and Calculator

The general equation for frequency of a plate with simply supported edges is:

Eq. 1 Simply Supported Edges

${\displaystyle \mathrm{\omega <!--\; \omega \; -->}={\mathrm{\pi <!--\; \pi \; -->}}^2(\frac{M^2}{a^2}+\frac{N^2}{b^2})\sqrt{gE{t}^3/(12(1-<!--\; -\; -->u^2)w)}}$

Where:

E = Modulus of elasticity

µ = poisson's

W = weight per unit area of plate

M and N = integers depending on nodal lines

a = length

b = length

t = thickness

Source

Bell Helicopter Structural Design Manual, 1977

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