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Turbopump Shaft Critical Speed Calculator engineering
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Turbopump Shaft Critical Speed Calculator

Rotordynamics & high-speed turbomachinery: Compute shaft area moment of inertia, lateral bending stiffness, first lateral critical speed ($N_{\text{crit}}$), and resonance safety margins.

Shaft Geometry & Bearing Span

Main rotor journal diameter
0 for solid shaft; >0 for hollow
Distance between bearing centerlines
Inconel 718: 211, Titanium: 115

Rotor Masses & Operating Speed

Inconel 718: 8190 kg/m³
Impellers, inducers, and turbine disc
Design nominal turbine speed

Critical Speed & Resonance Output

1st Lateral Critical Speed N_crit:
--
rpm (Hz)
Operating Speed Ratio λ = N_op / N_crit:
--
Regime classification
Shaft Bending Stiffness k:
--
MN/m
Resonance Separation Margin:
--
% distance from critical speed
Second Moment of Area I: --
Distributed Shaft Self-Mass: --
Rayleigh Effective Total Mass: --
Rotor Dynamics Design Status: --

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Frequently Asked Questions