Pitch RAO - Linear Approximation

Linear pitch RAO at a given frequency using SDOF damped oscillator approximation - preliminary pitch-motion estimate for seakeeping analysis.

PitchRAOSeakeeping

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

Symbol	Meaning	Unit
$\omega_n$	Natural pitch frequency	rad/s
$\zeta$	Damping ratio

Source: Faltinsen - Sea Loads on Ships

Linear pitch RAO at a given frequency using SDOF damped oscillator approximation - preliminary pitch-motion estimate for seakeeping analysis.