Logarithmic decrement

Logarithmic decrement is a measure used in the field of vibration analysis and control to quantify the rate of decay of oscillations in a damped system. It is particularly useful in systems that exhibit harmonic motion, such as mechanical systems with damping (e.g., springs, beams, and electrical circuits). The logarithmic decrement (\(\delta\)) is defined as the natural logarithm of the ratio of the amplitudes of two successive peaks in the decay of oscillation.