### Strutt Help

Resonant Frequency from Static Deflection ^{1/1, 1/3}
**Strutt|Vibration|Isolation Design|Resonant Frequency from Static Deflection** calculates the resonant frequency (Hz) from the known static deflection (mm) of an isolator, given the static to dynamic stiffness ratio of the isolation material (Kstat/Kdyn). The calculated resonant frequency is inserted into Column F of the active row of the work sheet.

Strutt calculates the resonant frequency of the isolator using the following formula:

`f_0 = 1/(2 pi)sqrt((K_r g)/(d//1000))`

where:

`f_0` is the resonant frequency of the isolator, Hz

`K_r` is the ratio of static to dynamic stiffness of the isolator

`g = 9.81 \ m//s^2` is gravitational acceleration constant

`d` is the static deflection of the isolator, mm

Comments or suggestions to
strutt@arup.com