Destabilizing Magnetic Forces in Aerodynamic Bearings
Unbalanced Magnetic Pull (UMP) - Linear to Quadratic Transition
⚠️ Critical Design Consideration: UMP behavior transitions from linear (F∝e) at small eccentricities
to quadratic (F∝e²) at larger eccentricities. Increased rotor weight causes static deflection, increasing initial eccentricity.
The quadratic regime creates a severe positive feedback loop, rapidly destabilizing the rotor.
Magnetic Force Analysis
F_UMP = K₁·e + K₂·e²
Current Force Regime:
LINEAR (F∝e)
Total UMP Force
0 N
Eccentricity Ratio (e/g₀)
0.00
Total Resultant Force
0 N
System Status: RUNNING - Normal Operation
Rotation Speed
30,000 RPM
Air Gap Min
100%
Stability Margin
High
Force Growth Rate
Linear
Stator (Motor)
Rotor (Journal)
Air Film
UMP Force
Weight (mg)
Total Force