Coupled sway-roll natural frequency including added mass - the basis for transverse-wave resonance analysis.
Formula
$$ T_{roll} = 2\pi \sqrt{\frac{k_{yy}^2 (1 + m_a)}{g \cdot GM}} $$
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $k_{yy}$ | Roll radius of gyration | m | weight distribution |
| $m_a$ | Roll added-mass ratio | - | strip theory |
Sources
- Faltinsen - Sea Loads.