Sway–Roll Coupling - Natural Frequency

Coupled sway-roll natural frequency including added mass - the basis for transverse-wave resonance analysis.

SwayRollCoupling

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This calculator requires JavaScript to compute its result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

T_{roll} = 2\pi \sqrt{\frac{k_{yy}^2 (1 + m_a)}{g \cdot GM}}

Symbol	Meaning	Unit
$k_{yy}$	Roll radius of gyration	m
$m_a$	Roll added-mass ratio

Source: Faltinsen - Sea Loads

Coupled sway-roll natural frequency including added mass - the basis for transverse-wave resonance analysis.