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IEVref: | 351-45-19 | ID: | |||||||

Language: | en | Status: 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
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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$\frac{{\text{d}}^{2}x}{\text{d}{t}^{2}}+2\cdot \vartheta \cdot {\omega}_{0}\cdot \frac{\text{d}x}{\text{d}t}+{\omega}_{0}^{2}\cdot x=0$

the value of the coefficient $\vartheta $,

where

t | is the time; |

x | is a state variable of the system; |

ω_{0} | 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.