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Natural Frequency

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Calculate the natural frequency of a single-degree-of-freedom mass-spring oscillator and estimate its damped frequency from damping ratio. This is the baseline vibration model behind many aerospace checks.

N/m
kg

Natural frequency

10.066 Hz

63.246 rad/s

Damped frequency

10.064 Hz

63.233 rad/s

Period

0.0993 s

Undamped period

Single-degree-of-freedom oscillator

k = 20,000 N/m, m = 5.00 kg

massspring stiffnessmodal displacement

Critical damping

632.46 N s/m

Damping coefficient

12.65 N s/m

Regime

underdamped

Damped free response

Oscillation decays with damping

displacementtimezeta = 0.020fd = 10.064 Hz

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