Natural frequency

Natural frequency, measured in terms of eigenfrequency, is the rate at which an oscillatory system tends to oscillate in the absence of disturbance.

The phenomenon of resonance occurs when a forced vibration matches a system's natural frequency.

In a mass–spring system, with mass m and spring stiffness k, the natural angular frequency can be calculated as:

[2] Natural frequencies depend on network topology and element values but not their input.

[4] A pole of the network transfer function is associated with a natural angular frequencies of the corresponding response variable; however there may exist some natural angular frequency that does not correspond to a pole of the network function.