What is often done in practice is to experimentally measure the free vibration after an impact ( for example by a hammer ) and then determine the natural frequency of the system by measuring the rate of oscillation, as well as the damping ratio by measuring the rate of decay.
12.
In practice, this is important to prevent " ringing " or " overhang " which is, essentially, a free vibration of the moving structures in a driver when it is excited ( i . e ., driven with a signal ) at that frequency.