Wire Natural Frequency Calculators

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Demo

Wire Natural Vibration Frequency

Calculate the damped and undamped natural vibration frequency of a wire in tension.

`fn = n / (2 L) √(T (1 - fd^2) / m) `

where :

fn = natural frequency [Hz]
fd = damping factor
n = mode number
L = wire length
T = wire tension
m = wire unit mass or mass per lengt

The damping factor = 0 for undamped vibration, and 1 for critically damped vibration. The stiffness of the wire (EI) is ignored when calculating the natural frequency of wires. The wire is assumed to be pinned at both ends.

Wire diameter and unit mass can be calculated from either American Wire Gauge (AWG), Standard Wire Gauge (SWG), ISO Gauge (ISO R10 R20 and R40), or IEC 60228 cable area. Use the Result Table option to display a table of natural frequency versus mode number. Refer to the help pages for more details.

References :

Shock And Vibration Handbook, Cyril M Harris, McGraw Hill
Roark's Formulas For Stress And Strain, Warren C Young, McGraw Hill

Calculate the damped and undamped natural frequency of a wire or string from length, unit mass and tension.

Select wire gauge (either AWG, SWG, ISO Or IEC), mode number (1 to 8), and material type. Wire stiffness (EI) is ignored for wire natural frequency. The tension stress equals the wire tension divided by the wire cross section area. The damping factor = 0 for undamped vibration, and 1 for critically damped vibration.

Use the Result Table option to display the natural frequency versus either mode number, wire diameter, or wire material for the selected wire length and tension. Use the Result Plot option to display the natural frequency versus either beam length and mode number, or tension and mode number.

Tool Input

schdtype : Wire Gauge Type
dntype : Wire Diameter Type
- Du : User Defined Wire Nominal Diameter
- Axu : User Defined Wire Nominal Cross Section Area
mvtype : Wire Material Type
- ρu : User Defined Wire Density
mltype : Wire Unit Mass Type
- mu : User Defined Wire Unit Mass
modenum : Vibration Mode Number
fdtype : Damping Factor Type (0 = Undamped 1 = Critical Damping)
- fdu : User Defined Damping Factor (0 ≤ fd ≤ 1)
L : Length
T : Tension

Tool Output

ρ : Wire Density
Ax : Wire Nominal Cross Section Area
D : Wire Nominal Diameter
S : Tension Stress
fd : Damping Factor
fn : Natural Frequency
m : Wire Unit Mass

Wire Natural Vibration Frequency

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