Heave RAO - Linear Approximation
Linear heave response amplitude operator (RAO) at a given wave frequency using Froude-Krylov + damping - preliminary motion estimate for design sea state.
Frequency ratio ω/ω_n
0.778 -
Heave RAO
2.179m/m
Formula, assumptions, and limits
Single-degree-of-freedom approximation. Peaks at ω = ω_n. Full strip theory (Salvesen-Tuck-Faltinsen) accounts for coupling with pitch. For monohulls heave ω_n typically 0.7–1.0 rad/s.
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Wave angular frequency | rad/s | spectrum | |
| Natural heave frequency | rad/s | ship / water plane | |
| Damping ratio | - | viscous + wave |