Free Engineering Tool #037
Blade Pass Frequency Calculator
Calculate the kinematic passage frequency for a known integer blade or vane count and measured shaft speed. Frequency alone does not predict amplitude or identify a fault.
Results
BPF Harmonics
| Harmonic | Frequency (Hz) | Order (× shaft) | Period (ms) |
|---|
Passage frequency
Z is the integer number of recurring rotor elements, n is shaft speed in r/min, and fs is shaft rotational frequency. For a fixed observation point, Z equally recurring elements produce Z passages per revolution. ANSI/AMCA 301-22 gives this same fan blade-pass equation in its sound-rating method (Eq. 5.7).
Harmonics and sidebands
The table lists mathematical integer harmonics h·fBPF. Real spectra may contain BPF, harmonics and modulation components, but their presence and amplitude depend on rotor/stator geometry, flow, loading, sensor location, structure and acoustic response. A calculated line is a frequency marker, not a predicted spectral amplitude.
Diagnostic boundary
Do not diagnose from one line. A BPF peak, its harmonics or shaft-spaced sidebands do not uniquely prove clearance error, blade damage, fouling, resonance, recirculation or cavitation. Compare like-for-like operating points with baseline/trend data and use corroborating phase, waveform, pressure, acoustic, process and inspection evidence. Cavitation assessment also requires hydraulic operating and NPSH evidence.
Worked calculation
fs = 2950/60 = 49.1667 Hz
fBPF = 6 × 49.1667 = 295 Hz
Period = 1/295 = 3.3898 ms; 2×BPF = 590 Hz; 3×BPF = 885 Hz.
Sources and standard scope
- ANSI/AMCA Standard 301-22, Eq. 5.7 — fan blade-pass frequency.
- NASA technical report 20030064154 — BPF/harmonics in rotor–stator forced response and modulation context.
- Grundfos cavitation reference — cavitation and NPSH context.
Scope: steady shaft speed and one integer count of equally recurring elements. Variable speed smears or sweeps the frequency; nonuniform pitch can create additional components. This calculator is not an ISO severity or acceptance assessment.
It computes fBPF = Z × n/60 and integer harmonics for a known recurring-element count and shaft speed. It does not calculate spectral amplitude.
No. BPF may be generated by normal periodic interaction. Assess amplitude against comparable baseline or trend data and corroborate with operating condition, phase, waveform, pressure, acoustic and inspection evidence.
No single BPF harmonic or sideband pattern is unique to damage, fouling, clearance, resonance, recirculation or cavitation. Treat the calculated lines as investigation markers.
Use the actual instantaneous speed. During a speed sweep, BPF follows Z times shaft frequency; order tracking is generally more useful than a fixed-frequency marker.
No. It performs a kinematic frequency calculation and applies no ISO vibration severity limits or acceptance zones.
The procedures described on this page were developed and field-tested by the Vibromera team using the Balanset-1A, a portable dual-channel balancer and vibration analyzer for on-site rotor balancing.
Professional vibration analysis instruments for fan and pump diagnostics, field balancing, and condition monitoring. Used in 50+ countries.
