IEVref:351-45-19ID:
Language:enStatus: Standard
Term: damping ratio
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Definition: for a linear time-invariant system described by the second order differential equation

$\frac{{\text{d}}^{2}x}{\text{d}{t}^{2}}+2\cdot \vartheta \cdot {\omega }_{0}\cdot \frac{\text{d}x}{\text{d}t}+{\omega }_{0}^{2}\cdot x=0$

the value of the coefficient $\vartheta$,

where

 t is the time; x is a state variable of the system; ω0 is the characteristic angular frequency of the system

Note 1 to entry: When $\vartheta <1$, ${\omega }_{\text{d}}={\omega }_{0}\cdot \sqrt{1-{\vartheta }^{2}}$ is the eigen angular frequency of the system.

Note 2 to entry: This entry was numbered 351-24-18 in IEC 60050-351:2006.

Publication date:2013-11
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