Linear pitch RAO at a given frequency using SDOF damped oscillator approximation - preliminary pitch-motion estimate for seakeeping analysis.
Formula
$$ |H_\theta(\omega)| = \frac{1}{\sqrt{(1-r^2)^2 + (2\zeta r)^2}} $$Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $\omega_n$ | Natural pitch frequency | rad/s | gyroscopic moment of inertia |
| $\zeta$ | Damping ratio | - | strip theory viscous + wave |
Sources
- Faltinsen - Sea Loads on Ships.