# Logarithmic decrement

Logarithmic decrement, \delta, is used to find the damping ratio of an underdamped system in the time domain.wikipedia
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### Damping ratio

dampingdampedoverdamped
Logarithmic decrement, \delta, is used to find the damping ratio of an underdamped system in the time domain.
For underdamped vibrations, the damping ratio is also related to the logarithmic decrement \delta via the relation

### Natural logarithm

lnnatural logarithmsnatural log
The logarithmic decrement is defined as the natural log of the ratio of the amplitudes of any two successive peaks:

### Q factor

quality factorQQ-factor
Thus logarithmic decrement also permits evaluation of the Q factor of the system:

### Index of logarithm articles

List of logarithm topics