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.

HeaveRAOSeakeeping

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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

|H(\omega)| = \frac{1}{\sqrt{(1-r^2)^2 + (2\zeta r)^2}}

Symbol	Meaning	Unit
$\omega$	Wave angular frequency	rad/s
$\omega_n$	Natural heave frequency	rad/s
$\zeta$	Damping ratio

Source: Lloyd A.R.J.M. - Seakeeping 1989

In short

Linear heave response amplitude operator (RAO) at a given wave frequency using Froude-Krylov + damping - preliminary motion estimate for design sea state.

Learn the theory Seakeeping: Ship Performance in Waves