Bearing Kinematic Vibration Fault Frequency Calculator
Compute BPFO, BPFI, BSF, and FTF defect frequencies based on internal bearing geometry and shaft rotational speed.

Configure Parameters to Run Model
3.57X Order
5.43X Order
2.32X Order
0.40X Order
Rigorous Engineering Formulations
Ball Pass Frequency Outer Race (BPFO)
Frequency of rolling elements impacting a defect on the fixed outer ring raceway.
Ball Pass Frequency Inner Race (BPFI)
Frequency of rolling elements impacting a defect on the rotating inner ring. Modulated by 1X shaft speed sidebands.
Ball Spin Frequency (BSF)
Frequency of a damaged ball or roller striking both inner and outer raceways during each revolution.
Fundamental Train Frequency (FTF)
Rotational speed of the bearing separator cage assembly. Typically 0.38X to 0.44X of shaft speed.
Comparative Performance Quartiles
| Benchmark Quartile | Target Metric Range | Operational & Financial Implication |
|---|---|---|
| Stage 1 (Incipient) | Acoustic Stress Waves | Ultrasonic emission detectable (>20 kHz). Zero increase in ISO velocity. Months of remaining life. |
| Stage 2 (Defect Exists) | Envelope Peaks | BPFO/BPFI visible in Hilbert envelope demodulation. Bearing natural frequencies excited. |
| Stage 3 (Severe) | Sidebands & Harmonics | Multiple harmonics (2X, 3X BPFO) with 1X sidebands. Plan immediate turnaround replacement. |
Actionable Engineering Best Practices
Hilbert Envelope Demodulation
Bandpass filter around bearing housing resonance (5-15 kHz) to amplify micro-impact peaks.
Lubrication Thickness Verification
High-frequency ultrasound detects micro-friction long before metal-to-metal spalling occurs.
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