For example, calculating the FRF for a mass & ndash; spring & ndash; damper system with a mass of 1 kg, spring stiffness of 1.93 N / mm and a damping ratio of 0.1.
32.
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.
33.
The general solution is a sum of a transient solution that depends on initial conditions, and a steady state that is independent of initial conditions and depends only on the driving amplitude \, \ ! F _ 0, driving frequency, \, \ ! \ omega, undamped angular frequency \, \ ! \ omega _ 0, and the damping ratio \, \ ! \ zeta.