Linear heave response amplitude operator (RAO) at a given wave frequency using Froude-Krylov + damping - preliminary motion estimate for design sea state.
Formula
$$ |H(\omega)| = \frac{1}{\sqrt{(1-r^2)^2 + (2\zeta r)^2}} $$
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $\omega$ | Wave angular frequency | rad/s | spectrum |
| $\omega_n$ | Natural heave frequency | rad/s | ship / water plane |
| $\zeta$ | Damping ratio | - | viscous + wave |
Sources
- Lloyd A.R.J.M. - Seakeeping 1989.