 with 0.1 damping ratio, the damped natural frequency is only 1% less than the undamped).The plots to the side present how 0.1 and 0.3 damping ratios effect how the system “rings” down over time.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.