Definitions for "Damping ratio"
A constant which describes the performance of a wind vane in response to a step change in wind direction. It is calculated from the relative amount of overshoot on two successive swings (half cycles) of a decaying oscillation. This specification is dimensionless and is generally between 0.3 and 0.7.
A parameter used to describe the response of a wind vane to a sudden change in wind direction. It is defined as the ratio of the actual damping to the critical damping, where critical damping is that value of damping which gives the fastest transient response without overshoot.
For a second order system, the damping ration, ZETA, is the ratio of the systems actual damping to its critical damping value. If damping is critical, the second order system has two real poles that are equal. Unit of acceleration, equal to a standard value of gravity or an otherwise specified level. (Accelerometer specifications and data supplied by Honeywell use 9.80708 m/s², the constant at Redmond, WA.)