Pitch RAO - Linear Approximation
Linear pitch RAO at a given frequency using SDOF damped oscillator approximation - preliminary pitch-motion estimate for seakeeping analysis.
Pitch RAO
3.264rad/m
Formula, assumptions, and limits
Full strip-theory pitch RAO has heave-pitch coupling. Containerships pitch > 3° in head seas cause green water on deck. Pitch sync resonance near natural period (typ. 6–10 s).
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Natural pitch frequency | rad/s | gyroscopic moment of inertia | |
| Damping ratio | - | strip theory viscous + wave |