Damping ratio from decay constant and undamped frequency¶

The damping ratio of an oscillator can be calculated via the exponential decay constant, which describes how fast its oscillations decay, and its undamped angular frequency.

damping_ratio¶

damping_ratio of the oscillator.

Symbol:: zeta
Latex:: \(\zeta\)
Dimension:: dimensionless

exponential_decay_constant¶

exponential_decay_constant of the oscillator.

Symbol:: lambda
Latex:: \(\lambda\)
Dimension:: 1/time

undamped_angular_frequency¶

Undamped angular_frequency of the oscillator.

Symbol:: w
Latex:: \(\omega\)
Dimension:: angle/time

law¶

zeta = lambda / w

Latex:: \[\zeta = \frac{\lambda}{\omega}\]