HomeCalculatorsShaft Torsional - 1st Critical Speed

Shaft Torsional - 1st Critical Speed

First torsional critical speed of the propulsion shaft - must stay outside the engine's continuous-running band.

Torsional vibrationCritical speedShaft
1st critical rpm
80rpm
Status
Outside MCR band

Formula, assumptions, and limits

$$\omega_n = \sqrt{K/I}$$

Barred Speed Range (BSR) applied ±10 % around critical rpm - engine not run continuously in BSR. Class rules (IACS UR M68) mandate torsional vibration calculation.

Symbol legend

SymbolMeaningUnitSource
$I$Propeller + shaft polar inertiakg·m²rotor dynamics
$K$Shaft torsional stiffnessN·m/radmaterial + geometry

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