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Calculate the resonance frequency of the torsion coil springs

keyword
Torsion Springs
resonance frequency

Question Spring Newbie

How to calculate the resonance frequency of the torsion coil springs?
Because there are situations in which a part mounted by a spring is vibrated, that part flutters around a certain frequency, and we would like to confirm whether this is due to the resonance frequency of the torsion coil springs or not.
Thank you.

Answer Tokai Spring

Spring Newbie, thank you for your question about the resonance of torsion springs!!!
Normally, there are a few cases in which the surging of torsion coil springs is considered in designing, but I think that it can be calculated by the following formula.
When torsion spring constant [N・m/rad] = torque [N・m] / torsion angle [rad],
angular frequency [rad/s] = SQRT (torsion spring constant [N・m/rad] / Moment of inertia [kg・m^2])
⇒ Natural frequency [Hz] = Angular frequency [rad/s] / 2π [rad].
Generally, torsion coil springs are small in size and have a small moment of inertia. I think that the frequency is not considered in most cases.
Thanks again for your question!!!

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