Jeffcott Rotor Critical Speed Resonance Calculator
Rotordynamics & flexible shaft vibration: Model a Jeffcott rotor with unbalance eccentricity ($e_u$), calculating critical speed ($N_{cr}$), amplification factor ($Q$), dynamic response amplitude ($r$), and phase lag ($\phi$).
Rotor Geometry & Damping
Carbon / Alloy steel = 206 GPa
Journal bearings: 0.05 - 0.15; Ball: 0.01 - 0.03
Critical Speed & Resonance Response
First Critical Speed N_cr:
--
RPM (synchronous resonance)
Whirl Orbit Amplitude r:
--
μm peak (at N)
Amplification Q:
--
Q = 1 / 2ζ
Phase Lag Angle ϕ:
--
degrees
Shaft Stiffness k:
--
N / mm
API 684 Standards & Bearing Load
Dynamic Bearing Load F_bearing:
-- N / bearing
Speed Ratio (N / N_cr):
--
Operating Regime:
--
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