**Related Resources: calculators**

### 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

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

Related

- Natural Frequency Undamped Two Opposed Springs One Mass Equation and Calculator
- Natural Frequency Undamped Two Mass Two Springs Equations and Calculator
- Natural Frequency Undamped Cantilevered Mass Equations and Calculator
- Natural Frequency Undamped Two Masses Spring System Equations and Calculator
- Beam Fixed End and Cantilevered Angular Natural Frequency Equations and Calculator
- Beam Simple Hinged-Hinged Ends Angular Natural Frequency Equations and Calculator
- Beam with Fixed-Fixed Ends Angular Natural Frequency Equations and Calculator
- Beam with Ends Free Angular Natural Frequency Equations and Calculator
- Beam with one End Free and Other Fixed Angular Natural Frequency Equations and Calculator
- Beam with one End Free and Other Hinged Angular Natural Frequency Equations and Calculator
- Thin Flat Plates of Uniform Thickness Natural Frequency Equations and Calculator
- Massless Circular Plate With Concentrated Center Mass Clamped Edges Natural Frequency Equations and Calculator
- Flat Plate on Rotating Drums Angular Natural Frequency Equations and Calculator
- Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator
- Cylinder in Cylindrical Track Angular Natural Frequency Equations and Calculator